%%% -*-BibTeX-*- %%% ==================================================================== %%% BibTeX-file{ %%% author = "Nelson H. F. Beebe", %%% version = "1.03", %%% date = "11 October 2019", %%% time = "05:30:17 MDT", %%% filename = "daubechies-ingrid.bib", %%% address = "University of Utah %%% Department of Mathematics, 110 LCB %%% 155 S 1400 E RM 233 %%% Salt Lake City, UT 84112-0090 %%% USA", %%% telephone = "+1 801 581 5254", %%% FAX = "+1 801 581 4148", %%% URL = "http://www.math.utah.edu/~beebe", %%% checksum = "46795 15281 65105 683149", %%% email = "beebe at math.utah.edu, beebe at acm.org, %%% beebe at computer.org (Internet)", %%% codetable = "ISO/ASCII", %%% keywords = "bibliography; BibTeX; Ingrid Chantal %%% Daubechies; wavelets", %%% license = "public domain", %%% supported = "yes", %%% docstring = "This is a bibliography of publications by, %%% and about, the influential mathematician and %%% physicist Ingrid Chantal Daubechies (ORCID %%% 0000-0002-6472-1056). %%% %%% At version 1.03, the year coverage looked %%% like this: %%% %%% 1977 ( 1) 1992 ( 17) 2007 ( 15) %%% 1978 ( 4) 1993 ( 22) 2008 ( 21) %%% 1979 ( 4) 1994 ( 12) 2009 ( 20) %%% 1980 ( 4) 1995 ( 18) 2010 ( 20) %%% 1981 ( 0) 1996 ( 14) 2011 ( 40) %%% 1982 ( 3) 1997 ( 17) 2012 ( 15) %%% 1983 ( 6) 1998 ( 18) 2013 ( 24) %%% 1984 ( 3) 1999 ( 13) 2014 ( 18) %%% 1985 ( 1) 2000 ( 11) 2015 ( 26) %%% 1986 ( 2) 2001 ( 12) 2016 ( 28) %%% 1987 ( 3) 2002 ( 14) 2017 ( 13) %%% 1988 ( 4) 2003 ( 9) 2018 ( 5) %%% 1989 ( 2) 2004 ( 17) 2019 ( 3) %%% 1990 ( 3) 2005 ( 16) %%% 1991 ( 5) 2006 ( 17) %%% 20xx ( 1) %%% %%% Article: 367 %%% Book: 12 %%% InBook: 4 %%% InCollection: 38 %%% InProceedings: 81 %%% Misc: 9 %%% PhdThesis: 2 %%% Proceedings: 4 %%% TechReport: 4 %%% %%% Total entries: 521 %%% %%% Ingrid Daubechies' academic Web site is at %%% %%% https://math.duke.edu/people/ingrid-daubechies %%% %%% There are online encyclopedia and database %%% articles about Ingrid Daubechies and her work %%% at %%% %%% https://en.wikipedia.org/wiki/Ingrid_Daubechies %%% https://en.wikipedia.org/wiki/Daubechies_wavelet %%% https://en.wikipedia.org/wiki/Discrete_wavelet_transform %%% https://www.genealogy.math.ndsu.nodak.edu/id.php?id=44561 %%% %%% Ingrid Daubechies was William R. Kenan, %%% Jr. Professor in the Mathematics and Applied %%% Mathematics Departments at Princeton %%% University from 2004 to 2011, and worked %%% there for 16 years. Since early 2011, she %%% has been the James B. Duke Professor of %%% Mathematics and Electrical and Computer %%% Engineering at Duke University, Durham, NC. %%% From 2011 to 2014, she was also the first %%% woman elected President of the International %%% Mathematical Union. %%% %%% She is featured in a special issue of the %%% Notices of the American Mathematical Society %%% in honor of Women's History Month in March %%% 2018 (see entry Anonymous:2018:ID). %%% %%% In addition to her work on mathematical %%% quantum theory, Ingrid Daubechies has played %%% a key role in the development of the theory %%% and application of wavelet transforms. In %%% particular, she was the first to define %%% wavelets of compact support (nonzero only on %%% finite intervals), which was an important %%% contribution that made wavelets practical in %%% physics and signal processing. A wavelet is %%% ``une ondelette'' in French, but several %%% other European languages, including Russian, %%% just call it wavelet (or vavelet). See entry %%% Daubechies:1996:WDW for her four-page %%% informal account of the history of that %%% field, whose discoveries and applications are %%% spread over a century across numerous %%% subdisciplines of engineering, mathematics, %%% medicine, and applied science, the following %%% paper (entry Cohen:1996:WMB), her book (entry %%% Daubechies:1992:TLW), her recorded lecture %%% (entry Daubechies:1993:WMW), and the %%% collection Fundamental Papers in Wavelet %%% Theory [from 1910 to 1995] (entry %%% Heil:2006:FPW). Perhaps an indication of %%% that breadth is that Ingrid Daubechies' %%% roughly 195 journal articles (as of spring %%% 2018) have appeared in at least 67 different %%% journals. %%% %%% At least four journals contain wavelet in %%% their names: %%% %%% * Applied and Computational Harmonic %%% Analysis. Time-Frequency and Time-Scale %%% Analysis, Wavelets, Numerical Algorithms, %%% and Applications %%% %%% * Current Development in Theory and %%% Applications of Wavelets %%% %%% * International Journal of Wavelets, %%% Multiresolution and Information %%% Processing %%% %%% * Wavelet Analysis and Its Applications %%% %%% Ingrid Daubechies has received several honors, %%% including at least these: %%% %%% * MacArthur Foundation Fellow (1992) %%% ``for her contributions to the study %%% of wavelets'' %%% https://doi.org/10.1063/1.2808792 %%% %%% * member of the American Academy of Arts %%% and Sciences (1993) %%% https://tinyurl.com/yakujam8 %%% https://www.amacad.org/peerCollaboration/profile.aspx?c=psa&q=Daubechies %%% %%% * Ruth Lyttle Satter Prize of the American %%% Mathematical Society (1997) %%% http://www.ams.org/notices/199703/comm-satter.pdf %%% %%% * member of the US National Academy of %%% Sciences (1998) %%% https://tinyurl.com/yc6gwpn5 %%% http://www.nasonline.org/member-directory/members/3002628.html %%% https://doi.org/10.1063/1.2805878 %%% %%% * recipient of the National Academy of %%% Sciences Award in Mathematics (2000) %%% ``for fundamental discoveries on %%% wavelets and wavelet expansions and for %%% her role in making wavelet methods a %%% practical basic tool of applied %%% mathematics.'' %%% https://tinyurl.com/yc6gwpn5 %%% http://www.nasonline.org/member-directory/members/3002628.html %%% %%% * Eduard Rhein Foundation Basic Research %%% Award (2000) ``for the invention, the %%% mathematical development, and the %%% applications of wavelets, which have %%% found widespread applications as %%% orthogonal functions in signal processing, %%% radar, and image processing'' %%% https://tinyurl.com/ycy5xja8 %%% https://doi.org/10.1063/1.2405515 %%% https://physicstoday.scitation.org/doi/abs/10.1063/1.2405516 %%% %%% * Gouden Penning (Gold Medal) of the Royal %%% Flemish Academy of Belgium (2005) %%% http://www.kvab.be/nl/prijzen/gouden-penning#collapse11 %%% %%% * AMS Gibbs Lecturer (2005) %%% https://tinyurl.com/y8ckvhvw %%% https://www.ams.org/about-us/governance/officers/sec-lecturers#gibbs %%% %%% * AWM Noether Lecturer (2006) %%% https://tinyurl.com/ybmsbc3x %%% https://sites.google.com/site/awmmath/programs/noether-lectures/noether-lecturers/noether-profiles/ingriddaubechies %%% %%% * ICIAM/SIAM Pioneer Prize (2007) ``for %%% her achievements in constructing %%% compactly supported wavelets'' and %%% ``the development of biorthogonal %%% wavelet bases, which are currently the %%% most commonly used bases for data %%% compression ... Wavelets from this %%% family are used in the JPEG 2000 %%% standard for both lossless and lossy %%% compression.'' %%% https://www.siam.org/news/news.php?id=1213 %%% %%% * Guggenheim Fellow (2010) %%% https://tinyurl.com/ybslobf9 %%% https://www.gf.org/fellows/all-fellows/ingrid-daubechies/ %%% %%% * Benjamin Franklin Medal of the Franklin %%% Institute (2011) ``For fundamental %%% discoveries in the field of compact %%% representations of data, leading to %%% efficient image compression as used in %%% digital photography'' %%% https://tinyurl.com/y9qeulqp %%% https://scistore.fi.edu/laureates/ingrid-daubechies %%% %%% * John von Neumann Lecture Prize (2011) %%% ``for her fundamental work in the %%% development of the foundations and %%% applications of wavelets, and her %%% multifaceted and lasting contributions %%% to the mathematical sciences and %%% engineering fields.'' %%% https://today.duke.edu/2011/07/vonneumann %%% %%% * Leroy P. Steele Prize of the American %%% Mathematical Society (2011) %%% http://www.ams.org/notices/201104/rtx110400593p.pdf %%% %%% * Elevated to Baroness by King Albert II of %%% Belgium (2012) %%% %%% * BBVA Foundation Frontiers of Knowledge %%% Award in the Basic Sciences (2013) %%% ``for her work on wavelets, which %%% resulted in a new approach to data %%% compression, with strong impact on a %%% multitude of technologies, including %%% efficient audio and video transmission %%% and medical imaging.'' %%% http://www.ams.org/notices/201305/rnoti-p603.pdf %%% %%% * member of the National Academy of %%% Engineering (2015) %%% https://tinyurl.com/ybwndh8f %%% http://pratt.duke.edu/about/news/wiesner-and-daubechies-named-national-academy-engineering-members %%% %%% * Wolfgang Pauli Lecturer (2015) %%% http://www.pauli-lectures.ethz.ch/archive/lectures15.html %%% %%% Numerous further awards to Ingrid Daubechies %%% are recorded in %%% %%% http://ece.duke.edu/faculty/ingrid-daubechies %%% %%% This bibliography has been constructed from %%% data obtained from numerous sources, %%% including at least these: %%% %%% * the University of Utah Mathematics %%% Department bibliography archives %%% %%% * the TeX User Group bibliography %%% archives %%% %%% * the Karlsruhe virtual catalog at %%% http://www.ubka.uni-karlsruhe.de/kvk_en.html %%% %%% * the US Library of Congress catalog at %%% http://catalog.loc.gov/ %%% %%% * the author's cattobib utility, which %%% provides Z39.50 interfaces to many %%% large libraries around the world, at %%% http://www.math.utah.edu/pub/cattobib/ %%% %%% * the European Mathematical Society %%% Zentralblatt fuer Mathematik database %%% at http://zb.msri.org/ZMATH/zmath/en/ %%% %%% * the American Mathematical Society %%% MathSciNet database at %%% http://ams.rice.edu/mathscinet/search.html %%% %%% * the American Institute of Physics %%% Scitation database at %%% https://www.scitation.org/ %%% %%% * the American Physical Society PROLA %%% database at %%% http://publish.aps.org/search %%% %%% * the Canadian Journal of Physics %%% database at %%% http://www.nrcresearchpress.com/search/advanced %%% %%% * the Europhysics journal archive at %%% http://www.europhysicsnews.org %%% %%% * the Nature journal archive at %%% http://www.nature.com/search/ %%% %%% * the Russian Physics-Uspekhi (Advances %%% in Physical Sciences) journal archive %%% at %%% http://ufn.ru/en/authors/ %%% %%% * the SAO/NASA Astrophysics Data System at %%% http://adsabs.harvard.edu/ %%% %%% * the Science journal archive at %%% http://www.sciencemag.org/search %%% %%% * the SPIRES high-energy physics %%% literature database at the Stanford %%% Linear Accelerator at Stanford %%% University at %%% http://inspirehep.net/help/easy-search %%% %%% * the Springer journal database at %%% http://www.springer.com/?SGWID=0-102-13-0-0 %%% %%% * the Web of Science database at %%% http://apps.webofknowledge.com/ %%% %%% * the Wiley journal database at %%% http://onlinelibrary.wiley.com/ %%% %%% * the arXiv.org database at %%% https://arxiv.org/ %%% %%% * the CrossRef database at %%% https://search.crossref.org/ %%% %%% * the JSTOR database at %%% http://www.jstor.org/, %%% %%% * many online library catalogs, including %%% those of the British Library, the %%% Karlsruhe Virtual Library catalog, the %%% Cambridge University Library, the %%% Oxford University Library, the %%% University of California library %%% system, and the US Library of Congress, %%% and %%% %%% * Ingrid Daubechies's own publication %%% lists at %%% https://math.duke.edu/people/ingrid-daubechies %%% [consulted only AFTER all of the other %%% sources above had been exhaustively %%% searched] %%% %%% The checksum field above contains a CRC-16 %%% checksum as the first value, followed by the %%% equivalent of the standard UNIX wc (word %%% count) utility output of lines, words, and %%% characters. This is produced by Robert %%% Solovay's checksum utility.", %%% } %%% ====================================================================

@Preamble{ "\ifx \undefined \booktitle \def \booktitle #1{{{\em #1}}} \fi" # "\ifx \undefined \mathbb \def \mathbb #1{{\bf #1}} \fi" }

%%% ==================================================================== %%% Acknowledgement abbreviations:

@String{ack-nhfb= "Nelson H. F. Beebe, University of Utah, Department of Mathematics, 110 LCB, 155 S 1400 E RM 233, Salt Lake City, UT 84112-0090, USA, Tel: +1 801 581 5254, FAX: +1 801 581 4148, e-mail: \path|beebe@math.utah.edu|, \path|beebe@acm.org|, \path|beebe@computer.org| (Internet), URL: \path|http://www.math.utah.edu/~beebe/|"}

%%% ==================================================================== %%% Journal abbreviations:

@String{j-ABSTR-APPL-ANAL= "Abstract and Applied Analysis"} @String{j-ACTA-INFO= "Acta Informatica"} @String{j-ADV-COMPUT-MATH= "Advances in Computational Mathematics"} @String{j-ADV-MATH= "Advances in Mathematics"} @String{j-AIAA-J= "American Institute of Aeronautics and Astronautics Journal"} @String{j-AIP-CONF-PROC= "AIP Conference Proceedings"} @String{j-AM-J-CARDIOL= "American Journal of Cardiology"} @String{j-AM-J-PHYS-ANTHROPOL= "American Journal of Physical Anthropology"} @String{j-AMER-MATH-MONTHLY= "American Mathematical Monthly"} @String{j-ANN-MATH= "Annals of Mathematics"} @String{j-ANN-MATH-2= "Annals of Mathematics (2)"} @String{j-ANN-STAT= "Annals of Statistics"} @String{j-APPL-ANAL= "Applicable Analysis"} @String{j-APPL-COMPUT-HARMON-ANAL= "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications"} @String{j-APPL-MATH= "Applications of Mathematics"} @String{j-APPL-MATH-COMP= "Applied Mathematics and Computation"} @String{j-APPL-MATH-LETT= "Applied Mathematics Letters"} @String{j-C-R-ACAD-SCI-I= "Comptes rendus de l'Acad{\'e}mie des sciences. S{\'e}rie I, Math{\'e}matique"} @String{j-CHAOS-SOLITONS-FRACTALS= "Chaos, Solitons \& Fractals"} @String{j-COMM-PURE-APPL-MATH= "Communications on Pure and Applied Mathematics (New York)"} @String{j-COMMUN-MATH-PHYS= "Communications in Mathematical Physics"} @String{j-COMP-STRUCTURES= "Computers and Structures"} @String{j-COMPUT-MECH= "Computational mechanics"} @String{j-COMPUT-PHYS= "Computers in Physics"} @String{j-CONST-APPROX= "Constructive Approximation"} @String{j-CWI-QUARTERLY= "CWI Quarterly"} @String{j-DUKE-MATH-J= "Duke Mathematical Journal"} @String{j-ELECT-LETTERS= "Electronics Letters"} @String{j-ENG-ANAL-BOUND-ELEM= "Engineering Analysis with Boundary Elements"} @String{j-EXP-MATH= "Experimental Mathematics"} @String{j-FAR-EAST-J-APPL-MATH= "Far East Journal of Applied Mathematics"} @String{j-FINITE-ELEMENTS-ANAL-DESIGN= "Finite Elements in Analysis and Design"} @String{j-FOURIER-ANAL-APPL= "Journal of {Fourier} Analysis and Applications"} @String{j-FUND-INFO= "Fundamenta Informaticae"} @String{j-GEOPHYS-J-INT= "Geophysical journal international"} @String{j-HELV-PHYS-ACTA= "Helvetica Physica Acta"} @String{j-IEEE-SIGNAL-PROCESS-LETT= "IEEE Signal Processing Letters"} @String{j-IEEE-SIGNAL-PROCESS-MAG= "IEEE Signal Processing Magazine"} @String{j-IEEE-TRANS-BIOMED-ENG= "IEEE Transactions on Biomedical Engineering"} @String{j-IEEE-TRANS-CIRCUITS-SYST-1= "IEEE Transactions on Circuits and Systems I: Regular Papers"} @String{j-IEEE-TRANS-IMAGE-PROCESS= "IEEE Transactions on Image Processing"} @String{j-IEEE-TRANS-INF-THEORY= "IEEE Transactions on Information Theory"} @String{j-IEEE-TRANS-PATT-ANAL-MACH-INTEL= "IEEE Transactions on Pattern Analysis and Machine Intelligence"} @String{j-IEEE-TRANS-SIG-PROC= "IEEE Transactions on Signal Processing"} @String{j-INT-EQN-OP-TH= "Integral Equations and Operator Theory"} @String{j-INT-J-APPL-MATH= "International Journal of Applied Mathematics"} @String{j-INT-J-NUMER-METHODS-ENG= "International Journal for Numerical Methods in Engineering"} @String{j-INT-J-SYST-SCI= "International Journal of Systems Science"} @String{j-INT-J-WAVELETS-MULTIRESOLUT-INF-PROCESS= "International Journal of Wavelets, Multiresolution and Information Processing"} @String{j-INTERNET-MATH= "Internet Mathematics"} @String{j-INVERSE-PROBL-IMAGING= "Inverse Problems and Imaging"} @String{j-INVERSE-PROBLEMS= "Inverse Problems"} @String{j-J-ACOUST-SOC-AM= "Journal of the Acoustical Society of America"} @String{j-J-CHEM-PHYS= "Journal of Chemical Physics"} @String{j-J-COMP-MATH= "Journal of Computational Mathematics"} @String{j-J-COMPUT-APPL-MATH= "Journal of Computational and Applied Mathematics"} @String{j-J-COMPUT-PHYS= "Journal of Computational Physics"} @String{j-J-ELECTROCARDIOL= "Journal of Electrocardiology"} @String{j-J-ELECTRON-IMAGING= "Journal of Electronic Imaging"} @String{j-J-GEOPHYS-RES-SOLID-EARTH= "Journal of Geophysical Research. Solid Earth"} @String{j-J-MACH-LEARN-RES= "Journal of Machine Learning Research (JMLR)"} @String{j-J-MATH-IMAG-VIS= "Journal of Mathematical Imaging and Vision: JMIV"} @String{j-J-MATH-PHYS= "Journal of Mathematical Physics"} @String{j-J-MATH-RES-APPL= "Journal of Mathematical Research with Applications"} @String{j-J-PHYS-A= "Journal of Physics A (Mathematical and General)"} @String{j-J-PHYS-A-MATH-THEOR= "Journal of Physics A: Mathematical and Theoretical"} @String{j-J-PHYS-CONF-SER= "Journal of Physics: Conference Series"} @String{j-LECT-NOTES-COMP-SCI= "Lecture Notes in Computer Science"} @String{j-LECT-NOTES-MATH= "Lecture Notes in Mathematics"} @String{j-LECT-NOTES-PHYSICS= "Lecture Notes in Physics"} @String{j-LET-MATH-PHYS= "Letters in Mathematical Physics"} @String{j-LINEAR-ALGEBRA-APPL= "Linear Algebra and its Applications"} @String{j-MAT-ZAMETKI= "Matematicheskie Zametki"} @String{j-MATH-COMPUT= "Mathematics of Computation"} @String{j-MATH-GAZ= "Mathematical Gazette"} @String{j-MATH-NOTES-ACAD-SCI-USSR= "Mathematical Notes of the {Academy of Sciences of the USSR = Matematicheskie Zametki}"} @String{j-MATH-PHYS= "Journal of Mathematics and Physics"} @String{j-MDMV= "Mitteilungen der Deutschen Mathematiker-Vereinigung"} @String{j-METH-INFO-MED= "Methods of Information in Medicine = Methodik der Information in der Medizin"} @String{j-MICROW-OPT-TECHNOL-LETT= "Microwave and Optical Technology Letters"} @String{j-MONTHLY-NOT-ROY-ASTRON-SOC= "Monthly Notices of the Royal Astronomical Society"} @String{j-MULTISCALE-MODELING-SIMUL= "Multiscale Modeling and Simulation"} @String{j-NAMS= "Notices of the American Mathematical Society"} @String{j-NATURE-COMMUN= "Nature Communications"} @String{j-NIEUW-ARCHIEF-WISKUNDE-5= "Nieuw Archief voor Wiskunde. Vijfde Serie"} @String{j-NUMER-ALGORITHMS= "Numerical Algorithms"} @String{j-PAMM= "Proceedings in Applied Mathematics and Mechanics"} @String{j-PHILOS-TRANS-R-SOC-LOND-SER-A= "Philosophical Transactions of the Royal Society A: Mathematical, Physical, and Engineering Sciences"} @String{j-PHYS-REV-E= "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)"} @String{j-PHYS-REV-LET= "Physical Review Letters"} @String{j-PHYS-TODAY= "Physics Today"} @String{j-PHYSICA-D= "Physica. D, Nonlinear Phenomena"} @String{j-PROC-AM-MATH-SOC= "Proceedings of the American Mathematical Society"} @String{j-PROC-IEEE= "Proceedings of the IEEE"} @String{j-PROC-NATL-ACAD-SCI-USA= "Proceedings of the National Academy of Sciences of the United States of America"} @String{j-PROC-SPIE= "Proceedings of the SPIE --- The International Society for Optical Engineering"} @String{j-REV-MATH-IBER= "Revista Matem{\'a}tica Iberoamericana"} @String{j-REV-MATH-PHYS= "Reviews in Mathematical Physics"} @String{j-SCIENCE= "Science"} @String{j-SIAM-J-IMAGING-SCI= "SIAM Journal on Imaging Sciences"} @String{j-SIAM-J-MATH-ANA= "SIAM Journal on Mathematical Analysis"} @String{j-SIAM-J-MATH-DATA-SCI= "SIAM Journal on Mathematics of Data Science"} @String{j-SIAM-J-SCI-COMP= "SIAM Journal on Scientific Computing"} @String{j-SIAM-REVIEW= "SIAM Review"} @String{j-SIG-PROC= "Signal Processing"} @String{j-TOG= "ACM Transactions on Graphics"} @String{j-TRAITE-SIGNAL= "Traitement du signal"} @String{j-WAVE-MOTION= "Wave Motion"} @String{j-WSEAS-TRANS-MATH= "WSEAS Transactions on Mathematics"} @String{j-Z-ANAL-ANWEND= "{Zeitschrift f{\"u}r Analysis und ihre Anwendungen}"} @String{j-Z-ANGE-MATH-MECH= "{Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik}"}

%%% ==================================================================== %%% Publisher abbreviations:

@String{pub-ACADEMIC= "Academic Press"} @String{pub-ACADEMIC:adr= "New York, NY, USA"} @String{pub-AIP= "American Institute of Physics"} @String{pub-AIP:adr= "Woodbury, NY, USA"} @String{pub-AMS= "American Mathematical Society"} @String{pub-AMS:adr= "Providence, RI, USA"} @String{pub-BIRKHAUSER= "Birkh{\"{a}}user"} @String{pub-BIRKHAUSER:adr= "Cambridge, MA, USA; Berlin, Germany; Basel, Switzerland"} @String{pub-BIRKHAUSER-BOSTON= "Birkh{\"a}user Boston Inc."} @String{pub-BIRKHAUSER-BOSTON:adr= "Cambridge, MA, USA"} @String{pub-CRC= "CRC Press"} @String{pub-CRC:adr= "2000 N.W. Corporate Blvd., Boca Raton, FL 33431-9868, USA"} @String{pub-ELSEVIER= "Elsevier"} @String{pub-ELSEVIER:adr= "Amsterdam, The Netherlands"} @String{pub-IEEE= "IEEE Computer Society Press"} @String{pub-IEEE:adr= "1109 Spring Street, Suite 300, Silver Spring, MD 20910, USA"} @String{pub-JONES-BARTLETT= "Jones and Bartlett"} @String{pub-JONES-BARTLETT:adr= "Boston, MA, USA"} @String{pub-KLUWER= "Kluwer Academic Publishers Group"} @String{pub-KLUWER:adr= "Norwell, MA, USA, and Dordrecht, The Netherlands"} @String{pub-MIT= "MIT Press"} @String{pub-MIT:adr= "Cambridge, MA, USA"} @String{pub-NORTH-HOLLAND= "North-Hol{\-}land"} @String{pub-NORTH-HOLLAND:adr= "Amsterdam, The Netherlands"} @String{pub-PLENUM= "Plenum Press"} @String{pub-PLENUM:adr= "New York, NY, USA; London, UK"} @String{pub-PRINCETON= "Princeton University Press"} @String{pub-PRINCETON:adr= "Princeton, NJ, USA"} @String{pub-SIAM= "Society for Industrial and Applied Mathematics"} @String{pub-SIAM:adr= "Philadelphia, PA, USA"} @String{pub-SPIE= "SPIE Optical Engineering Press"} @String{pub-SPIE:adr= "Bellingham, WA, USA"} @String{pub-SV= "Spring{\-}er-Ver{\-}lag"} @String{pub-SV:adr= "Berlin, Germany~/ Heidelberg, Germany~/ London, UK~/ etc."} @String{pub-U-CHICAGO= "University of Chicago Press"} @String{pub-U-CHICAGO:adr= "Chicago, IL, USA and London, UK"} @String{pub-WILEY= "Wiley"} @String{pub-WILEY:adr= "New York, NY, USA"} @String{pub-WORLD-SCI= "World Scientific Publishing Co. Pte. Ltd."} @String{pub-WORLD-SCI:adr= "P. O. Box 128, Farrer Road, Singapore 9128"}

%%% ==================================================================== %%% Series abbreviations:

@String{ser-LNAI= "Lecture Notes in Artificial Intelligence"} @String{ser-LNCS= "Lecture Notes in Computer Science"} @String{ser-LNM= "Lecture Notes in Mathematics"}

%%% ==================================================================== %%% Part 1: Publications by Ingrid Daubechies %%% %%% Bibliography entries, sorted by year, and then by citation label:

@Article{Daubechies:1977:AHO, author = "Ingrid Daubechies", title = "An application of hyperdifferential operators to holomorphic quantization", journal = j-LET-MATH-PHYS, volume = "2", number = "6", pages = "459--469", year = "1977--1978", CODEN = "LMPHDY", DOI = "https://doi.org/10.1007/BF00398498", ISSN = "0377-9017 (print), 1573-0530 (electronic)", ISSN-L = "0377-9017", MRclass = "81C99 (47B38)", MRnumber = "513112", MRreviewer = "G{\"u}nter Braunss", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Letters in Mathematical Physics. A Journal for the Rapid Dissemination of Short Contributions in the Field of Mathematical Physics", journal-URL = "http://link.springer.com/journal/11005", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Aerts:1978:ASP, author = "Dirk Aerts and Ingrid Daubechies", title = "About the structure-preserving maps of a quantum mechanical propositional system", journal = j-HELV-PHYS-ACTA, volume = "51", number = "5--6", pages = "637--660 (1979)", year = "1978", CODEN = "HPACAK", ISSN = "0018-0238 (print), 2297-1971 (electronic)", ISSN-L = "0018-0238", MRclass = "81B10 (03G12 46N05)", MRnumber = "542797", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Helvetica Physica Acta. Societatis Physicae Helveticae Commentaria Publica", journal-URL = "http://retro.seals.ch/digbib/vollist?UID=hpa-001", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Aerts:1978:PJU, author = "Dirk Aerts and Ingrid Daubechies", title = "Physical justification for using the tensor product to describe two quantum systems as one joint system", journal = j-HELV-PHYS-ACTA, volume = "51", number = "5--6", pages = "661--675 (1979)", year = "1978", CODEN = "HPACAK", ISSN = "0018-0238 (print), 2297-1971 (electronic)", ISSN-L = "0018-0238", MRclass = "81B05 (46N05)", MRnumber = "542798", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://www.e-periodica.ch/digbib/view?pid=hpa-001:1978:51#679", acknowledgement = ack-nhfb, fjournal = "Helvetica Physica Acta. Societatis Physicae Helveticae Commentaria Publica", journal-URL = "http://retro.seals.ch/digbib/vollist?UID=hpa-001", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1979HH88700003", } @Article{Daubechies:1978:AHO, author = "Ingrid Daubechies", title = "An application of hyperdifferential operators to holomorphic quantization", journal = j-LET-MATH-PHYS, volume = "2", number = "6", pages = "459--469", month = nov, year = "1978", CODEN = "LMPHDY", DOI = "https://doi.org/10.1007/BF00398498", ISSN = "0377-9017 (print), 1573-0530 (electronic)", ISSN-L = "0377-9017", MRclass = "35R20 47F05 47A05", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0446.35082", acknowledgement = ack-nhfb, fjournal = "Letters in Mathematical Physics", journal-URL = "http://link.springer.com/journal/11005", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1978FX98100005", } @TechReport{Daubechies:1978:ITR, author = "Ingrid Daubechies", title = "An integral transform related to quantization", institution = "CNRS", address = "Paris, France", year = "1978", bibdate = "Thu Mar 8 16:37:05 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", reportnumber = "CNRS-CPT-78-PE-1031", slaccitation = "CNRS-CPT-78-PE-1031", } @Article{Aerts:1979:CBP, author = "Dirk Aerts and Ingrid Daubechies", title = "A connection between propositional systems in {Hilbert} spaces and {von Neumann} algebras", journal = j-HELV-PHYS-ACTA, volume = "52", number = "2", pages = "184--199", year = "1979", CODEN = "HPACAK", ISSN = "0018-0238 (print), 2297-1971 (electronic)", ISSN-L = "0018-0238", MRclass = "81B10 (46L60)", MRnumber = "553688", MRreviewer = "H. Araki", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Helvetica Physica Acta. Societatis Physicae Helveticae Commentaria Publica", journal-URL = "http://retro.seals.ch/digbib/vollist?UID=hpa-001", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", slaccitation = "HPACA,52,184", unique-id = "ISI:A1979HX12700003", } @Article{Aerts:1979:CSP, author = "Dirk Aerts and Ingrid Daubechies", title = "A characterization of subsystems in physics", journal = j-LET-MATH-PHYS, volume = "3", number = "1", pages = "11--17", year = "1979", CODEN = "LMPHDY", DOI = "https://doi.org/10.1007/BF00959533", ISSN = "0377-9017 (print), 1573-0530 (electronic)", ISSN-L = "0377-9017", MRclass = "81B10 (06C15) 03G12 03B60 06C15 06C20 81P10", MRnumber = "527173", MRreviewer = "E. G. Beltrametti", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0451.03025", acknowledgement = ack-nhfb, fjournal = "Letters in Mathematical Physics", journal-URL = "http://link.springer.com/journal/11005", ORCID-numbers = "Aerts, Diederik/0000-0003-2266-6658; Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:A1979GL31600002", } @Article{Aerts:1979:MCS, author = "Dirk Aerts and Ingrid Daubechies", title = "A mathematical condition for a sublattice of a propositional system to represent a physical subsystem, with a physical interpretation", journal = j-LET-MATH-PHYS, volume = "3", number = "1", pages = "19--27", year = "1979", CODEN = "LMPHDY", DOI = "https://doi.org/10.1007/BF00959534", ISSN = "0377-9017 (print), 1573-0530 (electronic)", ISSN-L = "0377-9017", MRclass = "81B10 (06C15); 03G12 03B60 06C15 06C20 81P10", MRnumber = "527174", MRreviewer = "E. G. Beltrametti", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0451.03026", acknowledgement = ack-nhfb, fjournal = "Letters in Mathematical Physics", journal-URL = "http://link.springer.com/journal/11005", ORCID-numbers = "Aerts, Diederik/0000-0003-2266-6658; Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:A1979GL31600003", } @Article{AERTS:1979:SPM, author = "Dirk Aerts and Ingrid Daubechies", title = "About the structure-preserving maps of a quantum mechanical propositional system", journal = j-HELV-PHYS-ACTA, volume = "51", number = "5--6", pages = "637--660", year = "1979", CODEN = "HPACAK", ISSN = "0018-0238", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://www.e-periodica.ch/digbib/view?pid=hpa-001:1978:51#655", acknowledgement = ack-nhfb, fjournal = "Helvetica Physica Acta", journal-URL = "http://retro.seals.ch/digbib/vollist?UID=hpa-001", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:A1979HH88700002", } @Article{Daubechies:1980:CSP, author = "Ingrid Daubechies", title = "Coherent states and projective representation of the linear canonical transformations", journal = j-J-MATH-PHYS, volume = "21", number = "6", pages = "1377--1389", month = jun, year = "1980", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.524562", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "22E70 81R10; 81C99 (70H15)", MRnumber = "574700 (81f:81023)", MRreviewer = "Martine J. Perrin", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v21/i6/p1377_s1", ZMnumber = "0453.22012", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "21 July 2008", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "13", slaccitation = "JMAPA,21,1377", unique-id = "ISI:A1980JV54900016", } @Article{Daubechies:1980:DCB, author = "Ingrid Daubechies", title = "On the distributions corresponding to bounded operators in the {Weyl} quantization", journal = j-COMMUN-MATH-PHYS, volume = "75", number = "3", pages = "229--238", year = "1980", CODEN = "CMPHAY", DOI = "https://doi.org/10.1007/BF01212710", ISSN = "0010-3616 (print), 1432-0916 (electronic)", MRclass = "47L60 47B10; 81C10 (46F10 47B99)", MRnumber = "581947", MRreviewer = "Panayotis Tsilimigras", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://projecteuclid.org/euclid.cmp/1103908147", ZMnumber = "0451.47059", acknowledgement = ack-nhfb, fjournal = "Communications in Mathematical Physics", journal-URL = "http://link.springer.com/journal/220", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1980KC86900003", } @Article{Daubechies:1980:ITR, author = "Ingrid Daubechies and Alex Grossmann", title = "An Integral Transform Related to Quantization", journal = j-J-MATH-PHYS, volume = "21", number = "8", pages = "2080--2090", month = aug, year = "1980", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.524702", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81D05 (47B15 58F06)", MRnumber = "579204 (82d:81058)", MRreviewer = "Richard B. Lavine", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v21/i8/p2080_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", onlinedate = "21 July 2008", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "11", reportnumber = "CPT-78-PE-1031", slaccitation = "JMAPA,21,2080", unique-id = "ISI:A1980KC80600013", } @PhdThesis{Daubechies:1980:RQM, author = "Ingrid C. Daubechies", title = "Representation of Quantum Mechanical Operators by Kernels on {Hilbert} Spaces of Analytic Functions", type = "{Ph.D.} thesis", school = "Fakulteit der Wetenschappen, Vrije Universiteit Brussel", address = "Brussels, Belgium", pages = "????", year = "1980", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, advisor = "Jean Reignier and Alex Peter Gro{\ss}mann", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Not recorded in ProQuest Dissertations \& Theses Global, and only minimal data available in university library catalogs at \url{https://biblio.vub.ac.be/} and WorldCat. Is Alex Peter Gro{\ss}mann the same as Alexander Grossmann (https://en.wikipedia.org/wiki/Alex_Grossmann)?", } @Article{Daubechies:1982:CMP, author = "Ingrid Daubechies and John R. Klauder", title = "Constructing Measures for Path Integrals", journal = j-J-MATH-PHYS, volume = "23", number = "10", pages = "1806--1822", month = oct, year = "1982", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525234", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81C35 (58D30 81D30)", MRnumber = "676020 (85e:81045)", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v23/i10/p1806_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "17", slaccitation = "JMAPA,23,1806", unique-id = "ISI:A1982PK49800012", } @Article{Klauder:1982:MPI, author = "John R. Klauder and Ingrid Daubechies", title = "Measures for Path Integrals", journal = j-PHYS-REV-LET, volume = "48", number = "3", pages = "117--120", day = "18", month = jan, year = "1982", CODEN = "PRLTAO", DOI = "https://doi.org/10.1103/PhysRevLett.48.117", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", MRclass = "81C35 (58D25)", MRnumber = "639863", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", journal-URL = "http://prl.aps.org/browse", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", reportnumber = "Print-81-0548 (BTL)", slaccitation = "PRLTA,48,117", unique-id = "ISI:A1982MX15600001", } @Article{Klauder:1982:WMQ, author = "John R. Klauder and Ingrid Daubechies", title = "{Wiener} measures for quantum-mechanical path-integrals", journal = j-LECT-NOTES-PHYSICS, volume = "173", pages = "245--247", year = "1982", CODEN = "LNPHA4", DOI = "https://doi.org/10.1007/3-540-11956-6_123", ISSN = "0075-8450 (print), 1616-6361 (electronic)", ISSN-L = "0075-8450", MRclass = "60H99 81S40 81P20", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Stochastic processes in quantum theory and statistical physics, Proc. int. Workshop, Marseille 1981", ZMnumber = "0496.60066", acknowledgement = ack-nhfb, fjournal = "Lecture notes in physics", journal-URL = "http://link.springer.com/bookseries/5304", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1982QC03800019", } @Article{Aerts:1983:SPS, author = "Dirk Aerts and Ingrid Daubechies", title = "Simple proof that the structure preserving maps between quantum mechanical propositional systems conserve the angles", journal = j-HELV-PHYS-ACTA, volume = "56", number = "6", pages = "1187--1190", year = "1983", CODEN = "HPACAK", ISSN = "0018-0238 (print), 2297-1971 (electronic)", ISSN-L = "0018-0238", MRclass = "81B10 (46C99)", MRnumber = "734581", MRreviewer = "S. Gudder", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Helvetica Physica Acta. Physica Theoretica. Societatis Physicae Helveticae Commentaria Publica", journal-URL = "http://retro.seals.ch/digbib/vollist?UID=hpa-001", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:A1983SD92100008", } @Article{Daubechies:1983:CSC, author = "Ingrid Daubechies", title = "Continuity statements and counterintuitive examples in connection with {Weyl} quantization", journal = j-J-MATH-PHYS, volume = "24", number = "6", pages = "1453--1461", month = jun, year = "1983", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525882", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81C99 (81C20 81D30); 44A15 81-01 46F12 81Q10", MRnumber = "708664 (84j:81047)", MRreviewer = "Robin Hudson", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v24/i6/p1453_s1", ZMnumber = "0541.44001", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "9", unique-id = "ISI:A1983QS85700017", } @Article{Daubechies:1983:ITR, author = "Ingrid Daubechies and Alex Grossmann and Jean Reignier", title = "An integral transform related to quantization. {II}. {Some} mathematical properties", journal = j-J-MATH-PHYS, volume = "24", number = "2", pages = "239--254", month = feb, year = "1983", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.525699", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81D07 (44A15 81D30)", MRnumber = "692298 (85g:81081)", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1980.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v24/i2/p239_s1", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "16", slaccitation = "JMAPA,24,239", unique-id = "ISI:A1983QC19800004", } @Article{Daubechies:1983:MMQ, author = "Ingrid Daubechies and John R. Klauder", title = "Measures for More Quadratic Path Integrals", journal = j-LET-MATH-PHYS, volume = "7", number = "3", pages = "229--234", year = "1983", CODEN = "LMPHDY", DOI = "https://doi.org/10.1007/BF00400438", ISSN = "0377-9017 (print), 1573-0530 (electronic)", ISSN-L = "0377-9017", MRclass = "60H99 81S40; 81C35 (58D30 81D30)", MRnumber = "706212", MRreviewer = "L. S. Schulman", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0521.60078", acknowledgement = ack-nhfb, fjournal = "Letters in Mathematical Physics", journal-URL = "http://link.springer.com/journal/11005", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", reportnumber = "Print-83-0322 (BTL)", slaccitation = "LMPHD,7,229", unique-id = "ISI:A1983QZ45900009", } @Article{Daubechies:1983:OER, author = "Ingrid Daubechies and Elliott H. Lieb", title = "One Electron Relativistic Molecules With {Coulomb} Interaction", journal = j-COMMUN-MATH-PHYS, volume = "90", number = "4", pages = "497--510", year = "1983", CODEN = "CMPHAY", DOI = "https://doi.org/10.1007/BF01216181", ISSN = "0010-3616 (print), 1432-0916 (electronic)", MRclass = "81C10 (81G55) 81V55", MRnumber = "719430", MRreviewer = "A. Devinatz", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://projecteuclid.org/euclid.cmp/1103940413", ZMnumber = "0946.81522", acknowledgement = ack-nhfb, fjournal = "Communications in Mathematical Physics", journal-URL = "http://link.springer.com/journal/220", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", reportnumber = "Print-83-0469 (PRINCETON)", slaccitation = "CMPHA,90,497", unique-id = "ISI:A1983RH82900004", } @Article{Daubechies:1983:UPF, author = "Ingrid Daubechies", title = "An uncertainty principle for fermions with generalized kinetic energy", journal = j-COMMUN-MATH-PHYS, volume = "90", number = "4", pages = "511--520", year = "1983", CODEN = "CMPHAY", DOI = "https://doi.org/10.1007/BF01216182", ISSN = "0010-3616 (print), 1432-0916 (electronic)", MRclass = "81C10 81V55", MRnumber = "719431", MRreviewer = "A. Devinatz", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://projecteuclid.org/euclid.cmp/1103940414", ZMnumber = "0946.81521", acknowledgement = ack-nhfb, fjournal = "Communications in Mathematical Physics", journal-URL = "http://link.springer.com/journal/220", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", reportnumber = "Print-83-0472 (PRINCETON)", slaccitation = "CMPHA,90,511", unique-id = "ISI:A1983RH82900005", } @Article{Daubechies:1984:OEM, author = "Ingrid Daubechies", title = "One-electron molecules with relativistic kinetic energy: properties of the discrete spectrum", journal = j-COMMUN-MATH-PHYS, volume = "94", number = "4", pages = "523--535", year = "1984", CODEN = "CMPHAY", DOI = "https://doi.org/10.1007/BF01403885", ISSN = "0010-3616 (print), 1432-0916 (electronic)", MRclass = "81C10 (35P05)", MRnumber = "763750", MRreviewer = "S. T. Kuroda", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://projecteuclid.org/euclid.cmp/1103941407", acknowledgement = ack-nhfb, fjournal = "Communications in Mathematical Physics", journal-URL = "http://link.springer.com/journal/220", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1984TE76100006", } @InProceedings{Daubechies:1984:RMC, author = "Ingrid Daubechies and Elliott H. Lieb", booktitle = "Differential Equations ({Birmingham, Ala.}, 1983)", title = "Relativistic molecules with {Coulomb} interaction", volume = "92", publisher = pub-NORTH-HOLLAND, address = pub-NORTH-HOLLAND:adr, pages = "143--148", year = "1984", DOI = "https://doi.org/10.1016/S0304-0208(08)73689-2", MRclass = "81G55 (81C10); 35Q99 35B35 81V10", MRnumber = "799344", MRreviewer = "P. Rochus", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "North-Holland Math. Stud.", ZMnumber = "0565.35101", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Klauder:1984:QMP, author = "John R. Klauder and Ingrid Daubechies", title = "Quantum mechanical path integrals with {Wiener} measures for all polynomial {Hamiltonians}", journal = j-PHYS-REV-LET, volume = "52", number = "14", pages = "1161--1164", day = "2", month = apr, year = "1984", CODEN = "PRLTAO", DOI = "https://doi.org/10.1103/PhysRevLett.52.1161", ISSN = "0031-9007 (print), 1079-7114 (electronic), 1092-0145", ISSN-L = "0031-9007", MRclass = "81C35 (58D30); 81S40 58D30 81S30", MRnumber = "736821", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0979.81518", acknowledgement = ack-nhfb, fjournal = "Physical Review Letters", journal-URL = "http://prl.aps.org/browse", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", reportnumber = "Print-84-0090 (BTL)", slaccitation = "PRLTA,52,1161", unique-id = "ISI:A1984SJ98600001", } @Article{Daubechies:1985:QMP, author = "Ingrid Daubechies and John R. Klauder", title = "Quantum-mechanical path integrals with {Wiener} measure for all polynomial {Hamiltonians}. {II}", journal = j-J-MATH-PHYS, volume = "26", number = "9", pages = "2239--2256", month = sep, year = "1985", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.526803", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81S40 81S30; 81C35 (58D30 81C25)", MRnumber = "801118 (86m:81063)", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v26/i9/p2239_s1", ZMnumber = "0979.81517", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "18", reportnumber = "Print-85-0298 (BTL)", slaccitation = "JMAPA,26,2239", unique-id = "ISI:A1985APW8000025", } @Article{Daubechies:1986:PNE, author = "Ingrid Daubechies and Alex Grossmann and Yves Meyer", title = "Painless Nonorthogonal Expansions", journal = j-J-MATH-PHYS, volume = "27", number = "5", pages = "1271--1283", month = may, year = "1986", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.527388", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "46C99 46B15; 81D30 (46C10)", MRnumber = "836025 (87e:81089)", MRreviewer = "Robin Hudson", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib; http://www.math.utah.edu/pub/tex/bib/kbmath.bib", note = "Reprinted in \cite{Daubechies:2006:PNE}.", URL = "http://jmp.aip.org/resource/1/jmapaq/v27/i5/p1271_s1", ZMnumber = "0608.46014", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "13", reportnumber = "CPT-86/PE-1842", slaccitation = "JMAPA,27,1271", unique-id = "ISI:A1986C025100011", } @InProceedings{Daubechies:1986:TMR, author = "Ingrid Daubechies and John R. Klauder", booktitle = "Path Integrals from {meV} to {MeV} ({Bielefeld}, 1985)", title = "True measures for real time path integrals", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "425--432", year = "1986", MRclass = "81C35 (58D30)", MRnumber = "859247", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Bielefeld Encount. Phys. Math., VII", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1987:DSC, author = "Ingrid Daubechies", title = "Discrete sets of coherent states and their use in signal analysis", journal = j-LECT-NOTES-MATH, volume = "1285", pages = "73--82", year = "1987", CODEN = "LNMAA2", DOI = "https://doi.org/10.1007/BFb0080582", ISBN = "3-540-18479-1 (print), 3-540-47983-X (e-book)", ISBN-13 = "978-3-540-18479-9 (print), 978-3-540-47983-3 (e-book)", ISSN = "0075-8434 (print), 1617-9692 (electronic)", ISSN-L = "0075-8434", MRclass = "94A12 (42A38 94A11) 41A60", MRnumber = "921254 (89c:94012)", MRreviewer = "Gongli Zhang", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/lnm1985.bib", series = ser-LNM, URL = "http://link.springer.com/chapter/10.1007/BFb0080582/", ZMnumber = "0648.41017", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0080575", book-URL = "http://www.springerlink.com/content/978-3-540-47983-3", fjournal = "Lecture Notes in Mathematics", journal-URL = "http://link.springer.com/bookseries/304", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1987L547600007", } @InProceedings{Daubechies:1987:WA, author = "Ingrid Daubechies and Thierry Paul", booktitle = "{VIIIth International Congress on Mathematical Physics (Marseille, 1986)}", title = "Wavelets and applications", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "675--686", year = "1987", MRclass = "81C25 (81D30 94A05)", MRnumber = "915603", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1987:WMP, author = "Ingrid Daubechies and John R. Klauder and Thierry Paul", title = "{Wiener} measures for path integrals with affine kinematic variables", journal = j-J-MATH-PHYS, volume = "28", number = "1", pages = "85--102", month = jan, year = "1987", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.527812", ISSN = "0022-2488 (print), 1089-7658 (electronic), 1527-2427", ISSN-L = "0022-2488", MRclass = "81C35; 58D30 81S40 37J99", MRnumber = "870104 (88g:81030)", MRreviewer = "Philip J. Feinsilver", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://jmp.aip.org/; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jmathphys1985.bib", URL = "http://jmp.aip.org/resource/1/jmapaq/v28/i1/p85_s1", ZMnumber = "0615.58008", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "18", unique-id = "ISI:A1987F481100011", } @Article{Daubechies:1988:FBS, author = "Ingrid Daubechies and Alex Grossmann", title = "Frames in the {Bargmann} space of entire functions", journal = j-COMM-PURE-APPL-MATH, volume = "41", number = "2", pages = "151--164", month = mar, year = "1988", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.3160410203", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "46E20 (30D10 44A15)", MRnumber = "924682", MRreviewer = "Daniel H. Luecking", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0632.30049", acknowledgement = ack-nhfb, fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1988M580800002", } @Article{Daubechies:1988:OBC, author = "Ingrid Daubechies", title = "Orthonormal Bases of Compactly Supported Wavelets", journal = j-COMM-PURE-APPL-MATH, volume = "41", number = "7", pages = "909--996", month = oct, year = "1988", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.3160410705", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "42C40 65T60; 42C15 (92A25)", MRnumber = "951745", MRreviewer = "Hans G. Feichtinger", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib; http://www.math.utah.edu/pub/tex/bib/kbmath.bib", note = "Reprinted in \cite{Daubechies:2006:OBC}.", ZMnumber = "0644.42026", acknowledgement = ack-ds # "\slash " # ack-nhfb, fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", rawdata = "Daubechies, Ingrid (1988) ``Orthonormal Bases of Compactly Supported Wavelets,'' {\it Communications on Pure and Applied Mathematics}, {\bf41}:909--996.", unique-id = "ISI:A1988Q390700004", } @Article{Daubechies:1988:TFLa, author = "Ingrid Daubechies", title = "Time--frequency localization operators: a geometric phase space approach", journal = j-IEEE-TRANS-INF-THEORY, volume = "34", number = "4", pages = "605--612", month = jul, year = "1988", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/18.9761", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A11 (94A12) 42A38 47A05 33E10 33C45", MRnumber = "966733", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0672.42007", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "disk-shaped domains; eigenfunctions; eigenvalues; eigenvalues and eigenfunctions; Eigenvalues and eigenfunctions; ellipse-shaped domains; Filtering; geometric phase space approach; Hermite functions; incomplete gamma functions; information theory; Lighting; Optical filters; Optical sensors; Phase noise; phase space methods; prolate spheroidal wave functions; Quantum mechanics; signal analysis; Signal analysis; signal processing; Time frequency analysis; time-frequency localisation operators; time-frequency plane; Wave functions", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1988Q769400001", } @Article{Daubechies:1988:TFLb, author = "Ingrid Daubechies and Thierry Paul", title = "Time--frequency localisation operators --- a geometric phase space approach. {II}. {The} use of dilations", journal = j-INVERSE-PROBLEMS, volume = "4", number = "3", pages = "661--680", month = aug, year = "1988", CODEN = "INPEEY", DOI = "https://doi.org/10.1088/0266-5611/4/3/009", ISSN = "0266-5611 (print), 1361-6420 (electronic)", ISSN-L = "0266-5611", MRclass = "94A11 (47B38 94A12); 42A38 94A11 47B38 47A05", MRnumber = "965642", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://stacks.iop.org/0266-5611/4/661", ZMnumber = "0701.42004", acknowledgement = ack-nhfb, fjournal = "Inverse Problems", journal-URL = "http://iopscience.iop.org/0266-5611/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1988P762900009", } @InProceedings{Daubechies:1989:OBW, author = "Ingrid Daubechies", booktitle = "{Wavelets. Time-frequency methods and phase space. Proceedings of the international conference, Marseille, France, December 14--18, 1987}", title = "Orthogonal bases of wavelets with finite support -- connection with discrete filters", publisher = pub-SV, address = pub-SV:adr, pages = "38--66", year = "1989", ISBN = "3-540-51159-8 (hardcover)", ISBN-13 = "978-3-540-51159-5 (hardcover)", MRclass = "42C40 94A12; 42C15 (94A11)", MRnumber = "1010898", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Inverse Probl. Theoret. Imaging", ZMnumber = "0850.42013", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:1989:WTT, author = "Ingrid Daubechies", booktitle = "Sixth Multidimensional Signal Processing Workshop", title = "Wavelets: a tool for time-frequency analysis", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "98--98", month = sep, year = "1989", DOI = "https://doi.org/10.1109/MDSP.1989.97051", ISSN = "????", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Acoustic applications; Character generation; Discrete wavelet transforms; Electrical engineering; Filters; frequency-domain analysis; functional equations; HF components; Image reconstruction; Lattices; low-frequency components; signal processing; Time frequency analysis; time resolution; time-domain analysis; time-frequency analysis; time-frequency decomposition; tree algorithm; wave equations; Wavelet analysis; wavelet coefficients; Wavelet coefficients; wavelet decomposition; wavelet reconstruction", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Antonini:1990:ICU, author = "Marc Antonini and Michel Barlaud and Pierre Mathieu and Ingrid Daubechies", booktitle = "International Conference on Acoustics, Speech, and Signal Processing", title = "Image coding using vector quantization in the wavelet transform domain", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2297--2300", month = apr, year = "1990", DOI = "https://doi.org/10.1109/icassp.1990.116036", ISSN = "1520-6149 (print), 2379-190X (electronic)", ISSN-L = "1520-6149", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", acknowledgement = ack-nhfb, keywords = "data compression; encoding; Frequency domain analysis; frequency domains; frequency-domain analysis; Humans; image coding; Image coding; image compression; multiresolution codebook; Noise shaping; noise-shaping bit-allocation; picture processing; Pixel; progressive transmission scheme; Psychology; psychovisual features; pyramidal algorithm architecture; Rate-distortion; scalar quantization; Shannon's rate-distortion theory; vector quantization; Vector quantization; visual perception; Wavelet coefficients; wavelet transform domain; Wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:1990:OBWa, author = "Ingrid Daubechies", booktitle = "Inverse Problems and Theoretical Imaging", title = "Orthonormal Bases of Wavelets with Finite Support --- Connection with Discrete Filters", publisher = pub-SV, address = pub-SV:adr, pages = "38--66", year = "1990", DOI = "https://doi.org/10.1007/978-3-642-75988-8_3", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1990:WTT, author = "Ingrid Daubechies", title = "The wavelet transform, time frequency localization and signal analysis", journal = j-IEEE-TRANS-INF-THEORY, volume = "36", number = "5", pages = "961--1005", month = sep, year = "1990", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/18.57199", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A12 65T50 65T60; 42C15 (42C25 94A11)", MRnumber = "1066587", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Reprinted in \cite{Daubechies:2006:WTT}.", ZMnumber = "0738.94004", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Fourier transforms; frequency analysis; Lattices; Physics; Proposals; Reconstruction algorithms; reconstruction method; short time Fourier transform; signal analysis; Signal analysis; signal processing; Signal resolution; stability; Time frequency analysis; time-dependent signal; time-frequency density; time-frequency localization; transforms; Wavelet analysis; wavelet transform; Wavelet transforms; windowed Fourier transform", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", slaccitation = "IEETA,36,961", unique-id = "ISI:A1990DV10300001", } @Article{Daubechies:1991:ESW, author = "Ingrid Daubechies and St{\'e}phane Jaffard and Jean-Lin Journ{\'e}", title = "Erratum: {``A simple Wilson orthonormal basis with exponential decay''}", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "3", pages = "878--878", month = may, year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522056", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "81R30 (46N50 94A11); 46B15 46C05 81R10", MRnumber = "1101314 (92a:81066b)", MRreviewer = "R. Delbourgo", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/3; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", note = "See \cite{Daubechies:1991:SWO}.", ZMnumber = "0794.46008", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1991FH91000021", } @Article{Daubechies:1991:PSP, author = "Ingrid Daubechies", title = "Phase space path integrals, coherent states and {Wiener} measure", journal = "Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento", volume = "25", pages = "157--176", year = "1991", ISSN = "1592-9531", ISSN-L = "1592-9531", MRclass = "60K40 81Q30; 81S30 (81R30 81S40)", MRnumber = "1108242", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Proceedings of the Joint Concordia Sherbrooke Seminar Series on Functional Integration Methods in Stochastic Quantum Mechanics (Sherbrooke, PQ and Montr{\'e}al, PQ, 1987).", ZMnumber = "0731.60107", acknowledgement = ack-nhfb, ajournal = "Rend. Circ. Mat. Palermo (2) Suppl.", fjournal = "Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1991:SWO, author = "Ingrid Daubechies and St{\'e}phane Jaffard and Jean-Lin Journ{\'e}", title = "A Simple {Wilson} Orthonormal Basis with Exponential Decay", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "2", pages = "554--573", month = mar, year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522035", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "81R30 (46N50 94A11); 46C05 81R10 42C20 94A11", MRnumber = "1084973 (92a:81066a)", MRreviewer = "R. Delbourgo", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/2; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", note = "See erratum \cite{Daubechies:1991:ESW}.", ZMnumber = "0754.46016", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", slaccitation = "SJMAA,22,554", unique-id = "ISI:A1991EX93100016", xxpages = "554--572", } @Article{Daubechies:1991:TSD, author = "Ingrid Daubechies and Jeffrey C. Lagarias", title = "Two-scale difference equations. {I}. {Existence} and global regularity of solutions", journal = j-SIAM-J-MATH-ANA, volume = "22", number = "5", pages = "1388--1410", month = sep, year = "1991", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0522089", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "39A10 (42C05); 42C15 39A10 26A27 28A80", MRnumber = "1112515 (92d:39001)", MRreviewer = "Evangelos Ifantis", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/22/5; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", ZMnumber = "0763.42018", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1991GC98100012", } @Article{Antonini:1992:ICU, author = "Marc Antonini and Michel Barlaud and Pierre Mathieu and Ingrid Daubechies", title = "Image coding using wavelet transform", journal = j-IEEE-TRANS-IMAGE-PROCESS, volume = "1", number = "2", pages = "205--220", month = apr, year = "1992", CODEN = "IIPRE4", DOI = "https://doi.org/10.1109/83.136597", ISSN = "1057-7149 (print), 1941-0042 (electronic)", ISSN-L = "1057-7149", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", URL = "http://ieeexplore.ieee.org/abstract/document/136597/", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Image Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83", keywords = "biorthogonal subclasses; Bit rate; data compression; encoding; Frequency domain analysis; Humans; image coding; Image coding; image compression; multiresolution codebook; Noise shaping; noise shaping bit allocation; picture processing; Pixel; progressive transmission; Psychology; psychovisual features; pyramidal algorithm architecture; Rate distortion theory; Shannon's rate distortion theory; vector quantisation; wavelet coefficients; Wavelet coefficients; wavelet transform; Wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000202960500007", } @Article{Cohen:1992:BBC, author = "Albert Cohen and Ingrid Daubechies and J.-C. C. Feauveau", title = "Biorthogonal bases of compactly supported wavelets", journal = j-COMM-PURE-APPL-MATH, volume = "45", number = "5", pages = "485--560", month = jun, year = "1992", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.3160450502", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "42C15 (94A12) 42C40", MRnumber = "1162365", MRreviewer = "W. R. Madych", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0776.42020", acknowledgement = ack-nhfb, fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1992JB35900001", } @Article{Cohen:1992:SCB, author = "Albert Cohen and Ingrid Daubechies", title = "A stability criterion for biorthogonal wavelet bases and their related subband coding scheme", journal = j-DUKE-MATH-J, volume = "68", number = "2", pages = "313--335", month = nov, year = "1992", CODEN = "DUMJAO", DOI = "https://doi.org/10.1215/S0012-7094-92-06814-1", ISSN = "0012-7094 (print), 1547-7398 (electronic)", ISSN-L = "0012-7094", MRclass = "94A11 (42C15) 42C40", MRnumber = "1191564", MRreviewer = "Ahmed I. Zayed", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0784.42022", acknowledgement = ack-nhfb, fjournal = "Duke Mathematical Journal", journal-URL = "http://projecteuclid.org/info/euclid.dmj", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1992KB30300007", } @Article{Daubechies:1992:SIW, author = "Ingrid Daubechies and S. Mallat and A. S. Willsky", title = "Special issue on wavelet transforms and multiresolution signal analysis --- Introduction", journal = j-IEEE-TRANS-INF-THEORY, volume = "38", number = "2, 2", pages = "529--531", month = mar, year = "1992", CODEN = "IETTAW", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1992HG00800001", } @Article{Daubechies:1992:SMA, author = "Ingrid Daubechies and Jeffrey C. Lagarias", title = "Sets of Matrices all Infinite Products of Which Converge", journal = j-LINEAR-ALGEBRA-APPL, volume = "161", number = "1", pages = "227--263", day = "15", month = jan, year = "1992", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/0024-3795(92)90012-Y", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15B57 94A12 15B51 41A05 60J10; 15A18 (15A51 15A52 39A10 40A20 60J10)", MRnumber = "1142737", MRreviewer = "James Allen Fill", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/subjects/acc-stab-num-alg.bib; http://www.math.utah.edu/pub/tex/bib/linala1990.bib; http://www.math.utah.edu/pub/tex/bib/linala2000.bib", note = "See corrigendum \cite{Daubechies:2001:CAS}.", ZMnumber = "0746.15015", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1992HA04300012", } @Book{Daubechies:1992:TLW, author = "Ingrid Daubechies", title = "Ten Lectures on Wavelets", volume = "61", publisher = pub-SIAM, address = pub-SIAM:adr, pages = "xix + 357", year = "1992", DOI = "https://doi.org/10.1137/1.9781611970104", ISBN = "0-89871-274-2 (paperback)", ISBN-13 = "978-0-89871-274-2", MRclass = "42C15 (94A12); 42C40 42-02 46E35", MRnumber = "1162107", MRreviewer = "Albert Cohen", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/kbmath.bib", series = "CBMS-NSF Regional Conference Series in Applied Mathematics", URL = "http://bookstore.siam.org/cb61/", ZMnumber = "0776.42018", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", zz-isbn = "0-89871-274-2", } @Article{Daubechies:1992:TSD, author = "Ingrid Daubechies and Jeffrey C. Lagarias", title = "Two-scale difference equations. {II}. {Local} regularity, infinite products of matrices and fractals", journal = j-SIAM-J-MATH-ANA, volume = "23", number = "4", pages = "1031--1079", month = jul, year = "1992", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0523059", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "39A10 42C15 28A80", MRnumber = "1166574 (93g:39001)", MRreviewer = "Evangelos Ifantis", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/23/4; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/authors/m/mandelbrot-benoit.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", ZMnumber = "0788.42013", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1992HZ28600017", } @InProceedings{Moayeri:1992:WTI, author = "N. Moayeri and Ingrid Daubechies and Q. Song and H. S. Wang", booktitle = "[Proceedings] ICASSP-92: 1992 IEEE International Conference on Acoustics, Speech, and Signal Processing", title = "Wavelet transform image coding using trellis coded vector quantization", volume = "4", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "405--408", month = mar, year = "1992", DOI = "https://doi.org/10.1109/ICASSP.1992.226350", ISBN = "0-7803-0532-9", ISBN-13 = "978-0-7803-0532-8", ISSN = "1520-6149 (print), 2379-190X (electronic)", ISSN-L = "1520-6149", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "29 dB; Arithmetic; biorthogonal wavelet transform; image coding; Image coding; Image resolution; Mathematics; peak signal-to-noise ratio; PSNR; Rate-distortion; rate-distortion performance; Signal processing; TCVQ; Time frequency analysis; trellis coded vector quantization; trellis codes; vector quantisation; Vector quantization; vector trellis coder; wavelet transforms; Wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:1993:IAB, author = "Albert Cohen and Ingrid Daubechies", title = "On the Instability of Arbitrary Biorthogonal Wavelet Packets", journal = j-SIAM-J-MATH-ANA, volume = "24", number = "5", pages = "1340--1354", month = sep, year = "1993", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0524077", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "42C15 42C40 46E30", MRnumber = "1234020 (94k:42048)", MRreviewer = "Charles K. Chui", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/24/5; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", ZMnumber = "0792.42020", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1993LV86200013", } @Article{Cohen:1993:MAW, author = "Albert Cohen and Ingrid Daubechies and Bj{\"o}rn Jawerth and Pierre Vial", title = "Multiresolution analysis, wavelets and fast algorithms on an interval", journal = j-C-R-ACAD-SCI-I, volume = "316", number = "5", pages = "417--421", day = "4", month = mar, year = "1993", CODEN = "CASMEI", ISSN = "0764-4442 (print), 1778-3577 (electronic)", ISSN-L = "0764-4442", MRclass = "42C15 42C40", MRnumber = "1209259", MRreviewer = "Hans G. Feichtinger", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0768.42015", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1993KT76100004", } @Article{Cohen:1993:NBW, author = "Albert Cohen and Ingrid Daubechies", title = "Non-separable bidimensional wavelet bases", journal = j-REV-MATH-IBER, volume = "9", number = "1", pages = "51--137", year = "1993", DOI = "https://doi.org/10.4171/RMI/133", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", MRclass = "42C15 42C40", MRnumber = "1216125", MRreviewer = "Charles K. Chui", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0792.42021", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:1993:NSB, author = "Albert Cohen and Ingrid Daubechies", title = "Non-separable bidimensional wavelet bases", journal = j-REV-MATH-IBER, volume = "9", number = "1", pages = "51--137", year = "1993", DOI = "https://doi.org/10.4171/rmi/133", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", bibdate = "Fri Mar 9 11:19:26 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:1993:OBC, author = "Albert Cohen and Ingrid Daubechies", title = "Orthonormal bases of compactly supported wavelets. {III}. {Better} frequency resolution", journal = j-SIAM-J-MATH-ANA, volume = "24", number = "2", pages = "520--527", month = mar, year = "1993", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0524032", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "42C40 46A35; 42C15 (26A16)", MRnumber = "1205540 (94h:42055b)", MRreviewer = "Hans G. Feichtinger", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/24/2; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", ZMnumber = "0792.42019", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1993KQ03800015", } @Article{Cohen:1993:WIF, author = "Albert Cohen and Ingrid Daubechies and Pierre Vial", title = "Wavelets on the interval and fast wavelet transforms", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "1", number = "1", pages = "54--81", year = "1993", DOI = "https://doi.org/10.1006/acha.1993.1005", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C15 (65T20) 42C40", MRnumber = "1256527", MRreviewer = "Charles K. Chui", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0795.42018", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1993:BRW, author = "Ingrid Daubechies", title = "Book Reviews: {{\booktitle{Wavelets and Operators}} --- Meyer, Yves; \booktitle{Wavelets --- Algorithms and Applications} --- Meyer, Yves}", journal = j-SCIENCE, volume = "262", number = "5139", pages = "1589--1591", day = "3", month = dec, year = "1993", CODEN = "SCIEAS", DOI = "https://doi.org/10.1126/science.262.5139.1589", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/2882490", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1993MK32900050; ISI:A1993MK32900051", } @Article{Daubechies:1993:OBC, author = "Ingrid Daubechies", title = "Orthonormal bases of compactly supported wavelets. {II}. {Variations} on a theme", journal = j-SIAM-J-MATH-ANA, volume = "24", number = "2", pages = "499--519", month = mar, year = "1993", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/0524031", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "42C40 46E35; 42C15 (26A16)", MRnumber = "1205539 (94h:42055a)", MRreviewer = "Hans G. Feichtinger", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/24/2; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana.bib", ZMnumber = "0792.42018", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1993KQ03800014", } @Article{Daubechies:1993:TTL, author = "Ingrid Daubechies and Ajem J. E. M. Janssen", title = "Two theorems on lattice expansions", journal = j-IEEE-TRANS-INF-THEORY, volume = "39", number = "1", pages = "3--6", month = jan, year = "1993", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/18.179336", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A11 (42C15)", MRnumber = "1211486", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0764.42018", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Convergence; Data communication; decay properties; dual functions; functional analysis; information theory; Laboratories; lattice expansion problem; lattice theory and statistics; Lattices; Mechanical factors; Mercury (metals); Physics; Quantum mechanics; smoothness; Solid state circuits; theorems; Time frequency analysis", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", slaccitation = "IEETA,39,3", unique-id = "ISI:A1993KH67900001", } @InProceedings{Daubechies:1993:WI, author = "Ingrid Daubechies", booktitle = "{Progress in wavelet analysis and applications. Proceedings of the 3rd international conference on wavelets and applications, Toulouse, France, June 8--13, 1992}", title = "Wavelets on the interval", publisher = "Fronti{\`e}res", address = "Gif-sur-Yvette, France", pages = "95--107", year = "1993", ISBN = "2-86332-130-7 (hardcover)", ISBN-13 = "978-2-86332-130-0 (hardcover)", MRclass = "42C15 42C40", MRnumber = "1282934", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0925.42017", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Book{Daubechies:1993:WMW, author = "Ingrid Daubechies", title = "Wavelets making waves in mathematics and engineering", publisher = pub-AMS, address = pub-AMS:adr, pages = "1 videocassette (NTSC; 1/2 inch; VHS) (60 min.); sd., col", year = "1993", ISBN = "0-8218-8082-9", ISBN-13 = "978-0-8218-8082-1", MRclass = "42C10 (47B38 94A12) 42C40 42-01 01A70 94A11 68U10", MRnumber = "1228207", MRreviewer = "Gilbert Walter", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "A joint AMS-MAA invited address presented in Baltimore, Maryland, January 1992", ZMnumber = "0789.42028", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:1993:WTO, author = "Ingrid Daubechies", booktitle = "{Different Perspectives on Wavelets. American Mathematical Society Short Course on Wavelets and Applications, Held in San Antonio, TX (USA), January 11--12, 1993}", title = "Wavelet transforms and orthonormal wavelet bases", crossref = "Daubechies:1993:DPW", publisher = pub-AMS, address = pub-AMS:adr, pages = "1--33", year = "1993", DOI = "https://doi.org/10.1090/psapm/047/1267995", ISBN = "0-8218-5503-4 (hardcover)", ISBN-13 = "978-0-8218-5503-4 (hardcover)", MRclass = "42C15 (41A15 42-02 94A12); 42C40 94A12 46E15 41A15 46B15", MRnumber = "1267995", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Proc. Sympos. Appl. Math.", ZMnumber = "0802.42025", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:1994:ACS, author = "Ingrid Daubechies", booktitle = "On {Klauder}'s Path: a Field Trip. {Essays} in Honor of {John R. Klauder}", title = "Affine coherent states and wavelets", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "35--42", year = "1994", ISBN = "981-02-1687-4", ISBN-13 = "978-981-02-1687-0", MRclass = "81R30 42C40 81-01 81Q20 81R05; 81R30 (42C15 81-01 81Q20 81R05)", MRnumber = "1350560", MRreviewer = "Brian DeFacio", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0942.81559", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1994:DTR, author = "Ingrid Daubechies and Y. Huang", title = "A decay theorem for refinable functions", journal = j-APPL-MATH-LETT, volume = "7", number = "4", pages = "1--4", month = jul, year = "1994", CODEN = "AMLEEL", DOI = "https://doi.org/10.1016/0893-9659(94)90001-9", ISSN = "0893-9659 (print), 1873-5452 (electronic)", ISSN-L = "0893-9659", MRclass = "42C15", MRnumber = "1350385", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0851.42027", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics Letters. An International Journal of Rapid Publication", journal-URL = "http://www.sciencedirect.com/science/journal/08939659", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1994NX60300001", } @Article{Daubechies:1994:TFMa, author = "Ingrid Daubechies and Jeffrey C. Lagarias", title = "On the thermodynamic formalism for multifractal functions", journal = j-REV-MATH-PHYS, volume = "6", number = "5A", pages = "1033--1070", year = "1994", CODEN = "RMPHEX", DOI = "https://doi.org/10.1142/S0129055X94000353", ISSN = "0129-055X (print), 1793-6659 (electronic)", ISSN-L = "0129-055X", MRclass = "37D45 37A30 28A80 58F11 (28A80)", MRnumber = "1301365", MRreviewer = "Remo Badii", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Special issue dedicated to Elliott H. Lieb", ZMnumber = "0843.58091", acknowledgement = ack-nhfb, fjournal = "Reviews in Mathematical Physics", journal-URL = "https://www.worldscientific.com/worldscinet/rmp", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1994PT28300011", xxfjournal = "Reviews in Mathematical Physics. A Journal for Both Review and Original Research Papers in the Field of Mathematical Physics", } @InProceedings{Daubechies:1994:TFMb, author = "Ingrid Daubechies and Jeffrey C. Lagarias", booktitle = "The State of Matter ({Copenhagen}, 1992)", title = "On the thermodynamic formalism for multifractal functions", volume = "20", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "213--264", year = "1994", DOI = "https://doi.org/10.1142/9789812798251_0009", MRclass = "58F11 (28A80 35Q99)", MRnumber = "1462145", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Adv. Ser. Math. Phys.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:1994:TRR, author = "Ingrid Daubechies", booktitle = "Recent Advances in Wavelet Analysis", title = "Two recent results on wavelets: wavelet bases for the interval, and biorthogonal wavelets diagonalizing the derivative operator", volume = "3", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "237--257", year = "1994", ISBN = "0-12-632370-4 (hardcover)", ISBN-13 = "978-0-12-632370-2 (hardcover)", MRclass = "42C40 46B15; 42C15 (35S99 65T99)", MRnumber = "1244608", MRreviewer = "Chang Bai Xiao", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Wavelet Anal. Appl.", ZMnumber = "0829.42021", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:1995:BDF, author = "Ingrid Daubechies", booktitle = "{Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8--12, 1995}", title = "Better dual functions for {Gabor} time-frequency lattices", volume = "6", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "113--116", year = "1995", ISBN = "981-02-2972-0 (hardcover)", ISBN-13 = "978-981-02-2972-6 (hardcover)", MRclass = "42C15 (94A12) 42C40", MRnumber = "1471777", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Ser. Approx. Decompos.", ZMnumber = "0927.42017", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1995:GTF, author = "Ingrid Daubechies and H. J. Landau and Zeph Landau", title = "{Gabor} time-frequency lattices and the {Wexler--Raz} identity", journal = j-FOURIER-ANAL-APPL, volume = "1", number = "4", pages = "437--478", year = "1995", DOI = "https://doi.org/10.1007/s00041-001-4018-3", ISSN = "1069-5869 (print), 1531-5851 (electronic)", ISSN-L = "1069-5869", MRclass = "42C15 (94A11); 47C15 94A11 46L05", MRnumber = "1350701", MRreviewer = "Gilbert Walter", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0888.47018", acknowledgement = ack-nhfb, fjournal = "The Journal of Fourier Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1995:HDT, author = "Ingrid Daubechies and Ying Huang", title = "How does truncation of the mask affect a refinable function?", journal = j-CONST-APPROX, volume = "11", number = "3", pages = "365--380", year = "1995", DOI = "https://doi.org/10.1007/BF01208560", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42C15 26A30; 42C15 (26A30)", MRnumber = "1350674", MRreviewer = "Om P. Singh", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0874.42025", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1995RV64900005", } @InProceedings{Daubechies:1995:UFD, author = "Ingrid Daubechies", booktitle = "{Approximation theory VIII. Vol. 2. Wavelets and multilevel approximation. Papers from the 8th Texas international conference, College Station, TX, USA, January 8--12, 1995}", title = "Using {Fredholm} determinants to estimate the smoothness of refinable functions", volume = "6", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "89--112", year = "1995", ISBN = "981-02-2972-0 (hardcover)", ISBN-13 = "978-981-02-2972-6 (hardcover)", MRclass = "42C15; 42C40 65T60", MRnumber = "1471776", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Ser. Approx. Decompos.", ZMnumber = "0927.42016", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1995:WAC, author = "Ingrid Daubechies", title = "Wavelets and applications: A celebration of women in mathematics", journal = j-NAMS, volume = "42", number = "1", pages = "34--35", month = jan, year = "1995", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Tue Mar 13 07:44:43 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.ams.org/journals/notices/199501/wim.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:1995:WOP, author = "Ingrid Daubechies", booktitle = "{Proceedings of the International Congress of Mathematicians, ICM '94, August 3--11, 1994, Z{\"u}rich, Switzerland. Vol. I}", title = "Wavelets and other phase space localization methods", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "57--74", year = "1995", ISBN = "3-7643-5153-5 (hardcover)", ISBN-13 = "978-3-7643-5153-3 (hardcover)", MRclass = "42C05 42C40 42-02", MRnumber = "1403915", MRreviewer = "Gilbert Walter", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0845.42012", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", xxpages = "56--74", } @InProceedings{Daubechies:1995:WOR, author = "Ingrid Daubechies", booktitle = "{Proceedings of 1995 IEEE International Symposium on Information Theory}", title = "Wavelets: an overview, with recent applications", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "5-", month = sep, year = "1995", DOI = "https://doi.org/10.1109/ISIT.1995.531107", ISSN = "????", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Application software; applications; auditory models; computer aided design; electrical engineering; Electrical engineering; Filters; geophysics; Geophysics computing; Mathematics; Mirrors; nonlinear approximation; nonlinear squeezing; overview; Physics computing; pure mathematics; quadrature mirror filters; Quantum computing; quantum physics; singular integral operators; speech processing; Speech processing; wavelet transform; wavelet transforms; Wavelet transforms; wavelets", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:1996:HSS, author = "Albert Cohen and Ingrid Daubechies and Amos Ron", title = "How smooth is the smoothest function in a given refinable space?", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "3", number = "1", pages = "87--89", month = jan, year = "1996", DOI = "https://doi.org/10.1006/acha.1996.0008", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C15 46E30", MRnumber = "1374399", MRreviewer = "Hans W. Volkmer", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0901.46024", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1996TZ58800008", } @Article{Cohen:1996:NTE, author = "Albert Cohen and Ingrid Daubechies", title = "A new technique to estimate the regularity of refinable functions", journal = j-REV-MATH-IBER, volume = "12", number = "2", pages = "527--591", year = "1996", DOI = "https://doi.org/10.4171/RMI/207", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", MRclass = "65T40 42C15; 42C15 (47B38)", MRnumber = "1402677", MRreviewer = "Eugenio Hern{\'a}ndez", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "See corrigenda \cite{Cohen:1997:CNT}.", ZMnumber = "0879.65102", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1996VC77100009", } @InCollection{Daubechies:1996:NSC, author = "Ingrid Daubechies and St{\'e}phane Maes", booktitle = "Wavelets in Medicine and Biology", title = "A nonlinear squeezing of the continuous wavelet transform based on auditory nerve models", publisher = pub-CRC, address = pub-CRC:adr, pages = "527--546", year = "1996", ISBN = "0-8493-9483-X (hardcover)", ISBN-13 = "978-0-8493-9483-6 (hardcover)", MRclass = "92C20 92C99", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0848.92003", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1996:WDW, author = "Ingrid Daubechies", title = "Where do wavelets come from? {A} personal point of view", journal = j-PROC-IEEE, volume = "84", number = "4", pages = "510--513", month = apr, year = "1996", CODEN = "IEEPAD", DOI = "https://doi.org/10.1109/5.488696", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the IEEE", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", keywords = "computer science; engineering; history; mathematics; physics; subject roots; wavelet transforms; wavelets", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "From page 511: ``Many different choices of reference function existed in other contexts in geophysics and were called ``X's wavelet'' (if invented or proposed by X); [French geophysist Jean] Morlet [13 January 1931--27 April 2007] chose to call his transform functions ``wavelets of constant shape.'' When, a few years later, the transform of Morlet left the geophysics arena, other researchers soon dropped the qualifier ``of constant shape'' --- the wavelet transform was born!''", unique-id = "ISI:A1996UD74600002", } @Article{Kovacevic:1996:SIW, author = "Jelena Kova{\v{c}}evi{\'c} and Ingrid Daubechies", title = "Special issue on wavelets", journal = j-PROC-IEEE, volume = "84", number = "4", pages = "507--509", month = apr, year = "1996", CODEN = "IEEPAD", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the IEEE", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1996UD74600001", } @InProceedings{Calderbank:1997:LIC, author = "A. Robert Calderbank and Ingrid Daubechies and Wim Sweldens and Boon-Lock Yeo", editor = "{IEEE}", booktitle = "{Proceedings of International Conference on Image Processing, 26--29 October 1997}", title = "Lossless image compression using integer to integer wavelet transforms", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "lii + 941 (vol. 1), lii + 758 (vol. 2), lii + 892 (vol. 3)", pages = "596--599", year = "1997", DOI = "https://doi.org/10.1109/icip.1997.647983", ISBN = "0-8186-8184-5 (hardcover), 0-8186-8183-7, 0-8186-8185-3 (microfiche)", ISBN-13 = "978-0-8186-8184-4 (hardcover), 978-0-8186-8183-7, 978-0-8186-8185-1 (microfiche)", LCCN = "TA1637 I61 1997", bibdate = "Tue Mar 13 07:36:13 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=4998", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Chassande-Mottin:1997:DR, author = "E. Chassande-Mottin and Ingrid Daubechies and F. Auger and P. Flandrin", title = "Differential reassignment", journal = j-IEEE-SIGNAL-PROCESS-LETT, volume = "4", number = "10", pages = "293--294", month = oct, year = "1997", CODEN = "ISPLEM", DOI = "https://doi.org/10.1109/97.633772", ISSN = "1070-9908 (print), 1558-2361 (electronic)", ISSN-L = "1070-9908", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Letters", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97", keywords = "differential reassignment; Distributed computing; dynamical evolution; Equations; Fourier transforms; geometrical description; intrinsic phase characterization; Mathematics; scalar potential; signal representation; spectral analysis; Spectrogram; spectrograms; Time frequency analysis; time-frequency analysis; time-frequency distributions; time-frequency particles; Two dimensional displays; vector fields", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1997XZ19100006", } @Article{Cohen:1997:CNT, author = "Albert Cohen and Ingrid Daubechies", title = "Corrigenda: ``{A new technique to estimate the regularity of refinable functions'' [Rev.\ Mat.\ Iberoamericana \bf 12 (1996), no.\ 2, 527--591; MR1402677 (97g:42025)]}", journal = j-REV-MATH-IBER, volume = "13", number = "2", pages = "471", year = "1997", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", MRclass = "42C15 (47B38)", MRnumber = "1617633", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "See \cite{Cohen:1996:NTE}.", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000072996400008", } @Article{Cohen:1997:RRF, author = "Albert Cohen and Ingrid Daubechies and Gerlind Plonka", title = "Regularity of refinable function vectors", journal = j-FOURIER-ANAL-APPL, volume = "3", number = "3", pages = "295--324", year = "1997", DOI = "https://doi.org/10.1007/BF02649113", ISSN = "1069-5869 (print), 1531-5851 (electronic)", MRclass = "42C15; 42C15 39B62 42A38", MRnumber = "1448340", MRreviewer = "Peter R. Massopust", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0914.42025", acknowledgement = ack-nhfb, fjournal = "The Journal of Fourier Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1997XN11800004", } @Article{Daubechies:1997:OFP, author = "Ingrid Daubechies", title = "From the original framer to present-day time--frequency and time-scale frames", journal = j-FOURIER-ANAL-APPL, volume = "3", number = "5", pages = "485--486", year = "1997", DOI = "https://doi.org/10.1007/BF02648878", ISSN = "1069-5869 (print), 1531-5851 (electronic)", MRclass = "01A60 (01A73 42-03) 42C15", MRnumber = "1491928", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Dedicated to the memory of Richard J. Duffin", ZMnumber = "0903.42013", acknowledgement = ack-nhfb, fjournal = "The Journal of Fourier Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:A1997YB71900002", } @TechReport{Daubechies:1997:TTF, author = "Ingrid Daubechies", title = "Tools for Time-Frequency Analysis", type = "Report", institution = "Program in Applied and Computational Mathematics, Princeton University", address = "Princeton, NJ, USA", pages = "5", day = "30", month = sep, year = "1997", DOI = "https://doi.org/10.21236/ada337887", bibdate = "Fri Mar 09 11:00:52 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a337887.pdf", abstract = "Together with students and postdocs, the PI has worked on the mathematical aspects and applications of various tools in time frequency or time scale analysis. they have brought a deeper understanding to the geometry of redundant representations (frames), and shown the usefulness of frames for multiple description transmission, designed to withstand partial loss of information if some of the channels fail. They have also worked on subdivision schemes for non-uniform data, which can be used to provide efficient data compression for irregularly spaced data which are a superposition of fairly smooth signals with transients. Finally, they have obtained results on several reallocation schemes, aimed at extracting different components from complex signals, without too much pollution from the analyzing tool.", acknowledgement = ack-nhfb, keywords = "algorithms; data compression; Fourier transformation; image processing; signal processing; time domain; time series analysis; wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Unser:1997:APC, author = "Michael Unser and Ingrid Daubechies", title = "On the approximation power of convolution-based least squares versus interpolation", journal = j-IEEE-TRANS-SIG-PROC, volume = "45", number = "7", pages = "1697--1711", month = jul, year = "1997", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.599940", ISSN = "1053-587x (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "94A12 94-02 41A05 41A15 41A58", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0879.94005", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", keywords = "algorithms; approximation power; approximation theory; asymptotic limit; coefficients; continuous signal representation; Continuous wavelet transforms; convolution; Convolution; convolution-based least squares; error analysis; error estimates; interpolation; Interpolation; L2-error bound; Least squares approximation; least squares approximations; Least squares methods; performance; pointwise error estimates; polynomial splines; polynomials; Polynomials; prefilter; quasiinterpolation; sampling; Sampling methods; sampling step; signal approximations; signal processing; Signal processing; signal representation; Signal representations; signal sampling; Signal sampling; sine based methods; splines (mathematics); Strang-Fix conditions; wavelets", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Unser, Michael/A-1550-2008", unique-id = "ISI:A1997XK37300003", } @Article{Calderbank:1998:WTM, author = "A. Robert Calderbank and Ingrid Daubechies and Wim Sweldens and Boon-Lock Yeo", title = "Wavelet transforms that map integers to integers", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "5", number = "3", pages = "332--369", month = jul, year = "1998", DOI = "https://doi.org/10.1006/acha.1997.0238", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40 68U10; 94A12 (42C15 94B60)", MRnumber = "1632537", MRreviewer = "Ahmed I. Zayed", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0941.42017", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000074689000004", } @Article{Daubechies:1998:FWT, author = "Ingrid Daubechies and Wim Sweldens", title = "Factoring wavelet transforms into lifting steps", journal = j-FOURIER-ANAL-APPL, volume = "4", number = "3", pages = "247--269", year = "1998", DOI = "https://doi.org/10.1007/BF02476026", ISSN = "1069-5869 (print), 1531-5851 (electronic)", MRclass = "42C15 (42C05 65T20) 42C40", MRnumber = "1650921", MRreviewer = "R. A. Zalik", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0913.42027", acknowledgement = ack-nhfb, fjournal = "The Journal of Fourier Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000076671500001", } @InCollection{Daubechies:1998:P, author = "Ingrid Daubechies", title = "Preface", crossref = "Carmona:1998:PTF", pages = "5--5", year = "1998", bibdate = "Fri Mar 09 07:38:08 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:1998:Pa, author = "Ingrid Daubechies", booktitle = "Practical Time-Frequency Analysis --- {Gabor} and Wavelet Transforms with an Implementation in {S}", title = "Preface", publisher = pub-ELSEVIER, address = pub-ELSEVIER:adr, pages = "5", year = "1998", DOI = "https://doi.org/10.1016/s1874-608x(98)80024-1", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:1998:RRWa, author = "Ingrid Daubechies", editor = "Harold H. Szu", booktitle = "Wavelet Applications {V}", title = "Recent results in wavelet applications", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "??--??", day = "26", month = mar, year = "1998", DOI = "https://doi.org/10.1117/12.304919", bibdate = "Fri Mar 9 10:52:11 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1998:RRWb, author = "Ingrid Daubechies", title = "Recent results in wavelet applications", journal = j-J-ELECTRON-IMAGING, volume = "7", number = "4", pages = "719--724", month = oct, year = "1998", CODEN = "JEIME5", DOI = "https://doi.org/10.1117/1.482659", ISSN = "1017-9909 (print), 1560-229x (electronic)", ISSN-L = "1017-9909", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Electronic Imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000085103400002", } @Article{Daubechies:1998:WTT, author = "Ingrid Daubechies", title = "Wavelet transform, time-frequency localization and signal analysis", journal = "????", volume = "25", number = "13", pages = "42--??", month = "????", year = "1998", bibdate = "Tue Mar 13 08:00:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Listed in the Daubechies CV, but without journal; Web searches cannot find this.", } @Article{Donoho:1998:DCH, author = "David L. Donoho and Martin Vetterli and R. A. DeVore and Ingrid Daubechies", title = "Data compression and harmonic analysis", journal = j-IEEE-TRANS-INF-THEORY, volume = "44", number = "6", pages = "2435--2476", month = oct, year = "1998", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/18.720544", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A29 (94A11 94A12 94A34)", MRnumber = "1658775", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", note = "Information theory: 1948--1998", ZMnumber = "1125.94311", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "block codes; Block codes; block coding; Contracts; data compression; Data compression; Fourier basis; Fourier transforms; Gabor transforms; Gaussian processes; Gaussian stationary processes; harmonic analysis; Harmonic analysis; image coding; Image coding; information theory; optimal lossy compression technique; Quantization; review; reviews; sampling theorem; Shannon theory; signal sampling; time-frequency analysis; transform coding; Transform coding; Wavelet packets; wavelet transforms; Wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Vetterli, Martin/0000-0002-6122-1216", researcherid-numbers = "Vetterli, Martin/B-3612-2010", unique-id = "ISI:000076437400016", } @InProceedings{Daubechies:1999:AFA, author = "Ingrid Daubechies and St{\'e}phane Maes", booktitle = "{Harmonic Analysis and Partial Differential Equations. Essays in Honor of Alberto P. Calder{\'o}n's 75th Birthday. Proceedings of a Conference, University of Chicago, IL, USA, February 1996}", title = "An application of a formula of {Alberto Calder{\'o}n} to speaker identification", publisher = pub-U-CHICAGO, address = pub-U-CHICAGO:adr, pages = "163--181", year = "1999", ISBN = "0-226-10456-7 (hardcover)", ISBN-13 = "978-0-226-10456-0 (hardcover)", MRclass = "42C40 (94A05); 92C20 42C40 94A05 92C99", MRnumber = "1743861", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Chicago Lectures in Math.", ZMnumber = "1006.92500", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:1999:HAW, author = "Ingrid C. Daubechies and Anna C. Gilbert", booktitle = "Hyperbolic Equations and Frequency Interactions ({Park City, UT}, 1995)", title = "Harmonic analysis, wavelets and applications", volume = "5", publisher = pub-AMS, address = pub-AMS:adr, pages = "159--226", year = "1999", ISBN = "0-8218-0592-4 (hardcover)", ISBN-13 = "978-0-8218-0592-3 (hardcover)", MRclass = "42C15 (65J99); 42C40 43-02 42-02 65M99", MRnumber = "1662830", MRreviewer = "Charles K. Chui", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "IAS/Park City Math. Ser.", ZMnumber = "0931.42017", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:1999:RIS, author = "Ingrid Daubechies and I. Guskov and W. Sweldens", title = "Regularity of irregular subdivision", journal = j-CONST-APPROX, volume = "15", number = "3", pages = "381--426", year = "1999", DOI = "https://doi.org/10.1007/s003659900114", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42A38 (26A18 39A70 42C40 65D99); 42C40 41A05 65D18 26A16 65D05 65T60", MRnumber = "1687779", MRreviewer = "Gerlind Plonka", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0957.42022", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000080408100005", } @Article{Daubechies:1999:WIP, author = "Ingrid Daubechies and Igor Guskov and Peter Schr{\"o}der and Wim Sweldens", title = "Wavelets on irregular point sets", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "357", number = "1760", pages = "2397--2413", day = "15", month = sep, year = "1999", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.1999.0439", ISSN = "1364-503X (print), 1471-2962 (electronic)", ISSN-L = "1364-503X", MRclass = "42C40 65T60; 42C40 (65T60)", MRnumber = "1721247", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/55170", ZMnumber = "0945.42019", abstract = "In this article we review techniques for building and analysing wavelets on irregular point sets in one and two dimensions. We discuss current results on both the practical and theoretical sides. In particular, we focus on subdivision schemes and commutation rules. Several examples are included.", acknowledgement = ack-nhfb, ajournal = "R. Soc. Lond. Philos. Trans. Ser. A Math. Phys. Eng. Sci.", fjournal = "Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000082998700002", } @Article{Balan:2000:ADW, author = "Radu Balan and Ingrid Daubechies and Vinay Vaishampayan", title = "The analysis and design of windowed {Fourier} frame based multiple description source coding schemes", journal = j-IEEE-TRANS-INF-THEORY, volume = "46", number = "7", pages = "2491--2536", month = nov, year = "2000", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/18.887860", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A29 65T60 94A34", MRnumber = "1806816", MRreviewer = "Boris D. Kudryashov", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", ZMnumber = "0998.94011", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "asymptotic formulas; decoding; Decoding; Degradation; distortion; Electronic mail; Fourier transforms; Frequency conversion; frequency-shift division; Helium; Mathematics; modulation; multiple description compression problem; nonlocalization results; rate distortion theory; Rate distortion theory; Rate-distortion; redundancy; representation formulas; source coding; Source coding; time-shift division; translation index; transmission rate; window functions; windowed Fourier encoding-decoding scheme; windowed Fourier frame based multiple description source coding schemes; Zak transform", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Vaishampayan, Vinay/0000-0001-7781-0990", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000165606900017", } @InProceedings{Cvetkovic:2000:SBO, author = "Z. Cvetkovic and Ingrid Daubechies", title = "Single-bit oversampled {A/D} conversion with exponential accuracy in the bit-rate", crossref = "Storer:2000:DPD", pages = "343--352", year = "2000", DOI = "https://doi.org/10.1109/DCC.2000.838174", ISSN = "1068-0314 (print), 2375-0359 (electronic)", ISSN-L = "1068-0314", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=838174", acknowledgement = ack-nhfb, keywords = "Analog-digital conversion; analog-to-digital conversion; analogue-digital conversion; bandlimited signal; bandlimited signals; Bit rate; deterministic dither function; Entropy coding; exponential bit-rate accuracy; exponential error decay; input signal representation; Laboratories; mean square error methods; mean squared error; oversampled A/D conversion; Quantization; Rate-distortion; Sampling methods; Signal analysis; signal reconstruction; signal representation; Signal resolution; signal sampling; single bit quantization; White noise; zero crossings", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Daubechies:2000:FWT, author = "Ingrid Daubechies and Wim Sweldens", editor = "Roland Klees and R. H. N. Haagmans", booktitle = "{Wavelets in the Geosciences. Collection of the Lecture Notes of the School of Wavelets in the Geosciences, Delft, Netherlands, October 4--9, 1998}", title = "Factoring wavelet transforms into lifting steps", volume = "90", publisher = pub-SV, address = pub-SV:adr, bookpages = "xviii + 241", pages = "131--157", year = "2000", DOI = "https://doi.org/10.1007/bfb0011095", ISBN = "3-540-66951-5 (paperback), 3-540-46590-1 (electronic)", ISBN-13 = "978-3-540-66951-7 (paperback), ISBN 978-3-540-46590-4 (electronic)", ISSN = "0930-0317", LCCN = "QE33.2.W38 W38 2000", MRclass = "65T60 42C40", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; z3950.loc.gov:7090/Voyager", series = "Lecture Notes in Earth Sciences", ZMnumber = "0963.65154", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/BFb0011091", book-pages = "xviii + 241", book-URL = "http://www.loc.gov/catdir/enhancements/fy0816/99045239-d.html; http://www.loc.gov/catdir/enhancements/fy0816/99045239-t.html", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:2001:TAO, author = "Albert Cohen and Wolfgang Dahmen and Ingrid Daubechies and Ronald DeVore", title = "Tree approximation and optimal encoding", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "11", number = "2", pages = "192--226", month = sep, year = "2001", DOI = "https://doi.org/10.1006/acha.2001.0336", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "65T60 94A08 41A46; 42C40 (65T60 94A17)", MRnumber = "1848303", MRreviewer = "Morten Nielsen", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0992.65151", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000170672300003", } @Article{Daubechies:2001:CAS, author = "Ingrid Daubechies and Jeffrey C. Lagarias", title = "Corrigendum\slash addendum to: {``Sets of matrices all infinite products of which converge'' [Linear Algebra Appl.\ {\bf 161} (1992), 227--263; MR1142737 (93f:15006)]}", journal = j-LINEAR-ALGEBRA-APPL, volume = "327", number = "1--3", pages = "69--83", day = "15", month = apr, year = "2001", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/S0024-3795(00)00314-1", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", MRclass = "15B57 94A12 15B51 41A05 60J10 42C40; 15A18 (15A51 15A52 39A10 40A20 60J10)", MRnumber = "1823340", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.elsevier.com/locate/laa; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/linala1990.bib; http://www.math.utah.edu/pub/tex/bib/linala2000.bib", URL = "http://www.elsevier.nl/gej-ng/10/30/19/152/25/31/abstract.html; http://www.elsevier.nl/gej-ng/10/30/19/152/25/31/article.pdf", ZMnumber = "0978.15024", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2001:CIS, author = "Ingrid Daubechies and Igor Guskov and Wim Sweldens", title = "Commutation for irregular subdivision", journal = j-CONST-APPROX, volume = "17", number = "4", pages = "479--514", year = "2001", DOI = "https://doi.org/10.1007/s00365-001-0001-0", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42C40 41A15 65D07 47B39; 42C40 (41A30 65D07 65T60)", MRnumber = "1845265", MRreviewer = "Hans W. Volkmer", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0994.42019", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000170303200001", xxpages = "479--513", } @Book{Daubechies:2001:DLP, author = "Ingrid Daubechies", title = "Desyat' lektsij po vejvletam. ({Russian}) [{Ten} Lectures on Wavelets]", publisher = "NITS, Regulyarnaya i Khaoticheskaya Dinamika", address = "Moskva, Russia", pages = "464", year = "2001", ISBN = "5-93972-044-7", ISBN-13 = "978-5-93972-044-1", MRclass = "42C40 46E35 42-02", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1006.42030", acknowledgement = ack-nhfb, language = "Russian", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2001:SMA, author = "Ingrid Daubechies and J. C. Lagarias", title = "Sets of matrices all infinite products of which converge (vol 161, pg 227, 1992)", journal = j-LINEAR-ALGEBRA-APPL, volume = "327", number = "1--3", pages = "69--83", day = "15", month = apr, year = "2001", CODEN = "LAAPAW", DOI = "https://doi.org/10.1016/S0024-3795(00)00314-1", ISSN = "0024-3795 (print), 1873-1856 (electronic)", ISSN-L = "0024-3795", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Linear Algebra and its Applications", journal-URL = "http://www.sciencedirect.com/science/journal/00243795", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000168034100007", } @Article{Calderbank:2002:PCD, author = "A. Robert Calderbank and Ingrid Daubechies", title = "The pros and cons of democracy", journal = j-IEEE-TRANS-INF-THEORY, volume = "48", number = "6", pages = "1721--1725", month = jun, year = "2002", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/TIT.2002.1003852", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A20 65T99 94A12; 94A20 (65T99 94A12)", MRnumber = "1902984", MRreviewer = "D. Stanomir", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Special issue on Shannon theory: perspective, trends, and applications", ZMnumber = "1061.94014", acknowledgement = ack-nhfb, article-number = "PII S0018-9448(02)04036-1", fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Analog-digital conversion; Approximation algorithms; Approximation error; Convolution; decoding; Decoding; democracy; democratic representation; encoding; Filters; Mathematics; Military computing; nondemocratic representation; optimal accuracy; quantisation (signal); Quantization; quantized signal representation; Sampling methods; sigma--delta converters; signal approximation; signal representation", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Democracy in the title refers to equal weighting of bits in a quantized representation of a signal", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000175821500035", } @Article{Cohen:2002:ICW, author = "Albert Cohen and Ingrid Daubechies and Onur G. Guleryuz and Michael T. Orchard", title = "On the importance of combining wavelet-based nonlinear approximation with coding strategies", journal = j-IEEE-TRANS-INF-THEORY, volume = "48", number = "7", pages = "1895--1921", month = jul, year = "2002", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/TIT.2002.1013132", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A12 (41A30 42C40 94A34) 68P30", MRnumber = "1929999", MRreviewer = "Gilbert Walter", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", ZMnumber = "1061.94004", acknowledgement = ack-nhfb, article-number = "PII S0018-9448(02)05170-2", fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Approximation methods; approximation theory; Besov smoothness; Besov spaces; compression performance; data compression; Decorrelation; Discrete cosine transforms; Discrete wavelet transforms; functions/random processes; functions/stochastic processes; image coding; Image coding; Linear approximation; linear approximation theory; locally smooth signals; Mathematical analysis; nonlinear approximation theory; rate distortion theory; Rate-distortion; rate-distortion estimates; Signal processing; singularities; stochastic processes; Stochastic processes; transform codecs; transform coding; transform compression; wavelet transforms; wavelet-based nonlinear approximation", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000176445200011", } @InProceedings{Cvetkovic:2002:IBF, author = "Z. Cvetkovic and Ingrid Daubechies and B. F. Logan", title = "Interpolation of bandlimited functions from quantized irregular samples", crossref = "Storer:2002:DPD", pages = "412--421", year = "2002", DOI = "https://doi.org/10.1109/DCC.2002.999981", ISSN = "1068-0314 (print), 2375-0359 (electronic)", ISSN-L = "1068-0314", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=999981", acknowledgement = ack-nhfb, keywords = "A/D conversion; Analog-digital conversion; average uniform density; bandlimited functions; bandlimited signals; binary sequences; Costs; interpolation; Interpolation; irregular sequence; Lagrangian functions; Lagrangian interpolation; linear low-pass filtering; low-pass filters; oversampled analog-to-digital conversion; pi-bandlimited signal; Predictive models; quantisation (signal); Quantization; quantized irregular samples; sample estimation; Signal analysis; signal reconstruction; Signal resolution; signal sampling; Signal sampling; Statistical analysis", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2002:AGT, author = "Ingrid Daubechies and Fabrice Planchon", title = "Adaptive {Gabor} transforms", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "13", number = "1", pages = "1--21", month = jul, year = "2002", DOI = "https://doi.org/10.1016/S1063-5203(02)00003-9", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "94A12 (42C15 42C40); 94A11 94A12 42C40 42C15", MRnumber = "1930173", MRreviewer = "Lars F. Villemoes", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1032.94001", acknowledgement = ack-nhfb, article-number = "PII S1063-5203(02)00003-9", fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000178554600001", } @InProceedings{Daubechies:2002:BEN, author = "Ingrid Daubechies and Ronald DeVore and C. Sinan G{\"u}nt{\"u}rk and Vinay A. Vaishampayan", booktitle = "{2002 IEEE International Symposium on Circuits and Systems. Proceedings}", title = "Beta expansions: a new approach to digitally corrected {A/D} conversion", volume = "2", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "II-784--II-787", year = "2002", DOI = "https://doi.org/10.1109/ISCAS.2002.1011470", ISSN = "????", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "IEEE Catalog Number 02CH37353.", acknowledgement = ack-nhfb, keywords = "A/D converter architecture; algorithmic A/D converters; beta converter; beta expansions; bit rate; comparators (circuits); Computer architecture; constant input; Delta-sigma modulation; digitally corrected A/D conversion; error analysis; Error analysis; error correction; Error correction; exponentially accurate conversion; Fourier transforms; imperfect comparator; Mathematics; pipeline processing; pipelined A/D converters; pipelined multistage A/D converters; quantisation (signal); Quantization; Redundancy; refinement quantization algorithm; Sampling methods; self-correction property; sigma--delta converter error analysis; sigma--delta modulation; Voltage", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2002:CDF, author = "Ingrid Daubechies and Bin Han", title = "The canonical dual frame of a wavelet frame", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "12", number = "3", pages = "269--285", month = may, year = "2002", DOI = "https://doi.org/10.1006/acha.2002.0381", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40 (42C15)", MRnumber = "1912147", MRreviewer = "Marcin M. Bownik", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1013.42023", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000176632400001", } @InCollection{Balan:2003:OSE, author = "Radu Balan and Ingrid Daubechies", booktitle = "Advances in {Gabor} Analysis", title = "Optimal stochastic encoding and approximation schemes using {Weyl--Heisenberg} sets", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "259--320", year = "2003", ISBN = "0-8176-4239-0 (hardcover)", ISBN-13 = "978-0-8176-4239-6 (hardcover)", MRclass = "94A12 68P30 60G10 42C40; 94A12 (42C15 60G07 62M10)", MRnumber = "1955939", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Appl. Numer. Harmon. Anal.", ZMnumber = "1033.94001", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:2003:HAS, author = "Albert Cohen and Wolfgang Dahmen and Ingrid Daubechies and Ronald DeVore", title = "Harmonic analysis of the space {BV}", journal = j-REV-MATH-IBER, volume = "19", number = "1", pages = "235--263", year = "2003", DOI = "https://doi.org/10.4171/RMI/345", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", MRclass = "42C40 (42B25 42B35 46E35); 42C40 46B70 26B35 42B25 46E35", MRnumber = "1993422", MRreviewer = "Charles K. Chui", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1044.42028", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000184289400010", } @Article{Daubechies:2003:ABF, author = "Ingrid Daubechies and Ronald DeVore", title = "Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma--delta modulators of arbitrary order", journal = j-ANN-MATH-2, volume = "158", number = "2", pages = "679--710", month = sep, year = "2003", CODEN = "ANMAAH", DOI = "https://doi.org/10.4007/annals.2003.158.679", ISSN = "0003-486x (print), 1939-8980 (electronic)", ISSN-L = "0003-486X", MRclass = "42C40 (41A30 94A12); 94A12 94A05 41A25 94C05", MRnumber = "2018933", MRreviewer = "Gitta Kutyniok", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/3597299", ZMnumber = "1058.94004", acknowledgement = ack-nhfb, fjournal = "Annals of Mathematics. Second Series", journal-URL = "http://annals.math.princeton.edu/; http://www.jstor.org/action/showPublication?journalCode=annamath", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000187222300009", } @Article{Daubechies:2003:FMB, author = "Ingrid Daubechies and Bin Han and Amos Ron and Zuowei W. Shen", title = "Framelets: {MRA}-based constructions of wavelet frames", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "14", number = "1", pages = "1--46", month = jan, year = "2003", DOI = "https://doi.org/10.1016/S1063-5203(02)00511-0", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40 42C15; 42C40 (42-02 42C15)", MRnumber = "1971300", MRreviewer = "Kai Bittner", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1035.42031", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012 Shen, Zuowei/A-9455-2012", unique-id = "ISI:000182414900001", } @Article{Daubechies:2003:ITA, author = "Ingrid Daubechies and Michel Defrise and Christine {De Mol}", title = "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint", journal = "arXiv.org", volume = "??", number = "??", pages = "1--30", day = "10", month = jul, year = "2003", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/math/0307152", abstract = "We consider linear inverse problems where the solution is assumed to have a sparse expansion on an arbitrary pre-assigned orthonormal basis. We prove that replacing the usual quadratic regularizing penalties by weighted $ l^p$-penalties on the coefficients of such expansions, with $ 1 \leq p \leq 2$, still regularizes the problem. If $ p < 2$, regularized solutions of such $ l^p$-penalized problems will have sparser expansions, with respect to the basis under consideration. To compute the corresponding regularized solutions we propose an iterative algorithm that amounts to a Landweber iteration with thresholding (or nonlinear shrinkage) applied at each iteration step. We prove that this algorithm converges in norm. We also review some potential applications of this method.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "30 pages, 3 figures; this is version 2 - changes with respect to v1: small correction in proof (but not statement of) lemma 3.15; description of Besov spaces in intro and app A clarified (and corrected); smaller pointsize (making 30 instead of 38 pages).", subject = "Functional Analysis (math.FA); Numerical Analysis (math.NA)", } @Article{Rudin:2003:DAC, author = "Cynthia Rudin and Ingrid Daubechies and Robert E. Schapire", title = "The dynamics of {AdaBoost}: cyclic behavior and convergence of margins", journal = j-J-MACH-LEARN-RES, volume = "5", pages = "1557--1595", year = "2003--2004", CODEN = "JMLRAJ", ISSN = "1532-4435 (print), 1533-7928 (electronic)", ISSN-L = "1532-4435", MRclass = "68T05", MRnumber = "2248027", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "J. Mach. Learn. Res.", fjournal = "Journal of Machine Learning Research (JMLR)", journal-URL = "http://jmlr.csail.mit.edu/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Rudin:2003:DB, author = "Cynthia Rudin and Ingrid Daubechies and Robert E. Schapire", title = "On the Dynamics of Boosting", crossref = "Thrun:2004:ANI", pages = "1101--1108", year = "2004", bibdate = "Mon Mar 12 18:38:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://papers.nips.cc/paper/2535-on-the-dynamics-of-boosting.pdf", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2004:ITA, author = "Ingrid Daubechies and Michel Defrise and Christine {De Mol}", title = "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint", journal = j-COMM-PURE-APPL-MATH, volume = "57", number = "11", pages = "1413--1457", month = nov, year = "2004", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.20042", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "65J10 65J22 65J20 47A52 42C40 65T60; 65J22 (35R30 47A52 65J20 65R30 90C30)", MRnumber = "2077704", MRreviewer = "Hans-Peter Helfrich", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1077.65055", acknowledgement = ack-nhfb, fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000224146400001", } @Article{Daubechies:2004:NMA, author = "Ingrid Daubechies and Olof Runborg and Wim Sweldens", title = "Normal multiresolution approximation of curves", journal = j-CONST-APPROX, volume = "20", number = "3", pages = "399--463", month = may, year = "2004", DOI = "https://doi.org/10.1007/s00365-003-0543-4", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42C40 (41A05 41A25); 42C40 65D10 65D17 65T60 68U07", MRnumber = "2057535", MRreviewer = "Kai Bittner", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1051.42025", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Runborg, Olof/D-1510-2016 Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000221343900004", } @Article{Daubechies:2004:PDW, author = "Ingrid Daubechies and Bin Han", title = "Pairs of dual wavelet frames from any two refinable functions", journal = j-CONST-APPROX, volume = "20", number = "3", pages = "325--352", year = "2004", DOI = "https://doi.org/10.1007/s00365-004-0567-4", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42C40 42C15 41A15; 42C40 (41A15 42C15)", MRnumber = "2057532", MRreviewer = "W. Christopher Lang", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1055.42025", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2004:WBI, author = "Ingrid Daubechies and Gerd Teschke", editor = "Frederic Truchetet", booktitle = "Wavelet Applications in Industrial Processing: Photonics Technologies for Robotics, Automation, and Manufacturing, 2003, {Providence, RI, USA}", title = "Wavelet-based image decomposition by variational functionals", journal = j-PROC-SPIE, volume = "5266", pages = "94--105", day = "27", month = feb, year = "2004", CODEN = "PSISDG", DOI = "https://doi.org/10.1117/12.516051", ISSN = "0277-786X (print), 1996-756X (electronic)", ISSN-L = "0277-786X", bibdate = "Fri Mar 9 11:04:38 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the SPIE --- The International Society for Optical Engineering", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Pierpaoli:2004:RSZ, author = "E. Pierpaoli and S. Anthoine and K. Huffenberger and Ing Daubechies", title = "Reconstructing {Sunyaev--Zeldovich} clusters in future {CMB} experiments", journal = "arXiv.org", volume = "??", number = "??", pages = "1--12", day = "9", month = dec, year = "2004", CODEN = "????", DOI = "https://doi.org/10.1111/j.1365-2966.2005.08896.x", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Mon.Not.Roy.Astron.Soc. 359 (2005) 261-271", URL = "https://arxiv.org/abs/astro-ph/0412197", abstract = "We present a new method for component separation aimed to extract Sunyaev-Zeldovich (SZ) galaxy clusters from multifrequency maps of Cosmic Microwave Background (CMB) experiments. This method is designed to recover non-Gaussian, spatially localized and sparse signals. We first characterize the cluster non-Gaussianity by studying it on simulated SZ maps. We the apply our estimator on simulated observations of the Planck and Atacama Cosmology Telescope (ACT) experiments. The method presented here outperforms multi-frequency Wiener filtering both in the reconstructed average intensity for given input and in the associated error. In the absence of point source contamination, this technique reconstructs the ACT (Planck) bright (big) clusters central y parameter with an intensity which is about 84 (43) per cent of the original input value. The associated error in the reconstruction is about 12 and 27 per cent for the 50 (12) ACT (Planck) clusters considered. For ACT, the error is dominated by beam smearing. In the Planck case the error in the reconstruction is largely determined by the noise level: a noise reduction by a factor 7 would imply almost perfect reconstruction and 10 per cent error for a large sample of clusters. We conclude that the selection function of Planck clusters will strongly depend on the noise properties in different sky regions, as well as from the specific cluster extraction method assumed.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "12 pages, 12 figures. Submitted to MNRAS.", subject = "Astrophysics (astro-ph)", } @InProceedings{Rudin:2004:BBS, author = "Cynthia Rudin and Robert E. Schapire and Ingrid Daubechies", editor = "John Shawe-Taylor and Yoram Singer", booktitle = "{Learning Theory. 17th Annual Conference on Learning Theory, COLT 2004, Banff, Canada, July 1--4, 2004. Proceedings}", title = "Boosting based on a smooth margin", volume = "3120", publisher = pub-SV, address = pub-SV:adr, pages = "502--517", year = "2004", DOI = "https://doi.org/10.1007/978-3-540-27819-1_35; https://doi.org/10.1007/b98522", ISBN = "3-540-22282-0, 3-540-27819-2", ISBN-13 = "978-3-540-22282-8, 978-3-540-27819-1", ISSN = "0302-9743 (print), 1611-3349 (electronic)", LCCN = "Q334-342", MRclass = "68T05 (62H30)", MRnumber = "2177931", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = ser-LNAI, ZMnumber = "1078.68724", acknowledgement = ack-nhfb, book-DOI = "https://doi.org/10.1007/b98522", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000222864400035", } @Article{Rudin:2004:DAC, author = "Cynthia Rudin and Ingrid Daubechies and Robert E. Schapire", title = "The dynamics of {AdaBoost}: Cyclic behavior and convergence of margins", journal = j-J-MACH-LEARN-RES, volume = "5", pages = "1557--1595", month = dec, year = "2004", CODEN = "JMLRAJ", ISSN = "1532-4435 (print), 1533-7928 (electronic)", ISSN-L = "1532-4435", MRnumber = "68T05", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1222.68293", acknowledgement = ack-nhfb, fjournal = "Journal of Machine Learning Research (JMLR)", journal-URL = "http://jmlr.csail.mit.edu/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000236328500001", } @Article{Zou:2004:TEA, author = "Jing Zou and Anna Gilbert and Martin Strauss and Ingrid Daubechies", title = "Theoretical and Experimental Analysis of a Randomized Algorithm for Sparse {Fourier} Transform Analysis", journal = "arXiv.org", volume = "??", number = "??", pages = "1--21", day = "4", month = nov, year = "2004", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/math/0411102", abstract = "We analyze a sublinear RAlSFA (Randomized Algorithm for Sparse Fourier Analysis) that finds a near-optimal $B$-term Sparse Representation $R$ for a given discrete signal $S$ of length $N$, in time and space $ \poly (B, \log (N))$, following the approach given in \cite{GGIMS}. Its time cost $ \poly (\log (N))$ should be compared with the superlinear $ O(N \log N)$ time requirement of the Fast Fourier Transform (FFT). A straightforward implementation of the RAlSFA, as presented in the theoretical paper \cite{GGIMS}, turns out to be very slow in practice. Our main result is a greatly improved and practical RAlSFA. We introduce several new ideas and techniques that speed up the algorithm. Both rigorous and heuristic arguments for parameter choices are presented. Our RAlSFA constructs, with probability at least $ 1 - \delta $, a near-optimal $B$-term representation $R$ in time $ \poly (B) \log (N) \log (1 / \delta) / \epsilon^2 \log (M)$ such that $ ||S - R||^2 \leq (1 + \epsilon)||S - R_{\rm opt}||^2$. Furthermore, this RAlSFA implementation already beats the FFTW for not unreasonably large $N$. We extend the algorithm to higher dimensional cases both theoretically and numerically. The crossover point lies at $ N = 70000$ in one dimension, and at $ N = 900$ for data on a $ N \times N$ grid in two dimensions for small $B$ signals where there is noise.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "21 pages, 8 figures, submitted to Journal of Computational Physics.", subject = "Numerical Analysis (math.NA)", } @Article{Daubechies:2005:DSA, author = "Ingrid Daubechies and Konstantinos Drakakis and Tanya Khovanova", title = "A detailed study of the attachment strategies of new autonomous systems in the {AS} connectivity graph", journal = j-INTERNET-MATH, volume = "2", number = "2", pages = "185--246", year = "2005", DOI = "https://doi.org/10.1080/15427951.2005.10129103", ISSN = "1542-7951 (print), 1944-9488 (electronic)", ISSN-L = "1542-7951", MRclass = "05C80 68R10 05C90; 05C80 (68R10 68U35 94C99)", MRnumber = "2193159", MRreviewer = "Anthony Bonato", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://projecteuclid.org/euclid.im/1137446621", ZMnumber = "1087.05051", acknowledgement = ack-nhfb, fjournal = "Internet Mathematics", journal-URL = "http://projecteuclid.org/info/euclid.im", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:2005:OER, author = "Ingrid Daubechies and Elliott H. Lieb", title = "One-Electron Relativistic Molecules with {Coulomb} Interaction", crossref = "Lieb:2005:OER", pages = "471--484", year = "2005", DOI = "https://doi.org/10.1007/3-540-27056-6_33", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:2005:TP, author = "Ingrid Daubechies", title = "Thought problems", crossref = "Case:2005:CWM", pages = "358--360", year = "2005", bibdate = "Mon Mar 26 08:23:38 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, } @Article{Daubechies:2005:VIR, author = "Ingrid Daubechies and G. Teschke", title = "Variational image restoration by means of wavelets: Simultaneous decomposition, deblurring, and denoising", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "19", number = "1", pages = "1--16", month = jul, year = "2005", DOI = "https://doi.org/10.1016/j.acha.2004.12.004", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "94A08 (65T60); 68U10 49N90 65T60 94A08", MRnumber = "2147059", MRreviewer = "Marcello Sanguineti", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1079.68104", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000230223500001", } @Article{Pierpaoli:2005:RSZ, author = "Elena Pierpaoli and S. Anthoine and Kevin M. Huffenberger and Ingrid Daubechies", title = "Reconstructing {Sunyaev--Zel'dovich} clusters in future cosmic microwave background experiments", journal = j-MONTHLY-NOT-ROY-ASTRON-SOC, volume = "359", number = "1", pages = "261--271", day = "1", month = may, year = "2005", CODEN = "MNRAA4", DOI = "https://doi.org/10.1111/j.1365-2966.2005.08896.x", ISSN = "0035-8711 (print), 1365-2966 (electronic)", ISSN-L = "0035-8711", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "astro-ph/0412197", fjournal = "Monthly Notices of the Royal Astronomical Society", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Huffenberger, Kevin/0000-0001-7109-0099; Pierpaoli, Elena/0000-0002-7957-8993", primaryclass = "astro-ph", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", slaccitation = "ASTRO-PH/0412197", unique-id = "ISI:000228488800023", xxtitle = "Reconstructing {Sunyaev--Zeldovich} clusters in future {CMB} experiments", } @InProceedings{Roussos:2005:VBL, author = "E. Roussos and S. Roberts and Ingrid Daubechies", booktitle = "{AIP} Conference Proceedings", title = "Variational {Bayesian} Learning for Wavelet Independent Component Analysis", journal = j-AIP-CONF-PROC, volume = "803", publisher = pub-AIP, address = pub-AIP:adr, pages = "274--281", year = "2005", CODEN = "APCPCS", DOI = "https://doi.org/10.1063/1.2149805", ISSN = "0094-243X (print), 1551-7616 (electronic), 1935-0465", ISSN-L = "0094-243X", bibdate = "Thu Mar 8 16:10:24 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "AIP Conference Proceedings", journal-URL = "http://scitation.aip.org/content/aip/proceeding/aipcp", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", xxpages = "273--??", } @Article{Anthoine:2006:DMD, author = "S. Anthoine and E. Pierpaoli and Ingrid Daubechies", title = "Deux m{\'e}thodes de d{\'e}convolution et s{\'e}paration simultan{\'e}es: application {\`a} la reconstruction des amas de galaxies. ({French}) [{Two} methods of simultaneous deconvolution and separation: application to the reconstruction of clusters of galaxies]", journal = j-TRAITE-SIGNAL, volume = "23", number = "5--6", pages = "439--447", year = "2006", ISSN = "0765-0019 (print), 1958-5608 (electronic)", ISSN-L = "0765-0019", MRclass = "94A08 65T60 68T10 85-04", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1245.94013", acknowledgement = ack-nhfb, ajournal = "Trait. Signal", fjournal = "Traitement du Signal", language = "French", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2006:DCI, author = "Ingrid Daubechies and Ronald A. DeVore and C. Sinan G{\"u}nt{\"u}rk and Vinay A. Vaishampayan", title = "{A/D} conversion with imperfect quantizers", journal = j-IEEE-TRANS-INF-THEORY, volume = "52", number = "3", pages = "874--885", month = mar, year = "2006", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/TIT.2005.864430", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A14 (94A20)", MRnumber = "2238058", MRreviewer = "David J. Santos", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", note = "IEEE International Symposium on Circuits and Systems, Phoenix, AZ, May 26--29, 2002.", ZMnumber = "1231.94036", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Analog-digital conversion; Analog-to-digital (A/D) conversion; analog-to-digital converter; beta expansion; Bit rate; circuit implementation; coarse quantization; Delta-sigma modulation; encoder; encoding; Modulation coding; oversampling; PCM; Phase change materials; Pulse circuits; pulse code modulation; Pulse modulation; Pulse width modulation converters; quantisation (signal); Quantization; quantization; Rate-distortion; rate-distortion sense; robustness; self-correction property; sigma--delta modulation; signal sampling", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Vaishampayan, Vinay/0000-0001-7781-0990", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000236126000007", } @InCollection{Daubechies:2006:F, author = "Ingrid Daubechies", title = "Foreword", crossref = "Heil:2006:FPW", pages = "xv--xvi", year = "2006", DOI = "https://doi.org/10.1515/9781400827268.xv", bibdate = "Fri Mar 09 07:39:14 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:2006:OBC, author = "Ingrid Daubechies", title = "Orthonormal bases of compactly supported wavelets", crossref = "Heil:2006:FPW", pages = "564--654", year = "2006", DOI = "https://doi.org/10.1515/9781400827268.564", bibdate = "Fri Mar 09 07:39:14 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Reprint of \cite{Daubechies:1988:OBC}.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daubechies:2006:PNE, author = "Ingrid Daubechies and Alex Grossmann and Yves Meyer", title = "Painless nonorthogonal expansions", crossref = "Heil:2006:FPW", pages = "372--384", year = "2006", DOI = "https://doi.org/10.1515/9781400827268.372", bibdate = "Fri Mar 09 07:39:14 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Reprint of \cite{Daubechies:1986:PNE}.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2006:RPA, author = "Ingrid Daubechies and {\"O}zg{\"u}r Y{\i}lmaz", title = "Robust and Practical Analog-to-Digital Conversion With Exponential Precision", journal = j-IEEE-TRANS-INF-THEORY, volume = "52", number = "8", pages = "3533--3545", month = aug, year = "2006", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/TIT.2006.878220", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A14; 94A14 94A20", MRnumber = "2242363", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1231.94037", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Analog-digital conversion; Analog-to-digital (A/D) conversion; analog-to-digital conversion; beta-encoder; beta-encoders; beta-expansions; Circuits; decoder; Decoding; decoding; delta; error correction; Error correction; error correction codes; Phase change materials; Pulse modulation; quantisation (signal); quantization; quantizer imperfection; rate distortion theory; Rate-distortion; rate-distortion property; Redundancy; Robustness; sampling; sigma--delta Uncertainty", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000239408700009", } @InCollection{Daubechies:2006:WTT, author = "Ingrid Daubechies", title = "The wavelet transform, time-frequency localization and signal analysis", crossref = "Heil:2006:FPW", pages = "442--486", year = "2006", DOI = "https://doi.org/10.1515/9781400827268.442", bibdate = "Fri Mar 09 07:39:14 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Reprint of \cite{Daubechies:1990:WTT}.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Hughes:2006:SAI, author = "Shannon M. Hughes and Ingrid Daubechies", booktitle = "2006 International Conference on Image Processing", title = "Simpler Alternatives to Information Theoretic Similarity Metrics for Multimodal Image Alignment", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "365--368", month = oct, year = "2006", DOI = "https://doi.org/10.1109/ICIP.2006.313169", ISSN = "1522-4880 (print), 2381-8549 (electronic)", ISSN-L = "1522-4880", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Application software; Histograms; image registration; Image registration; information theoretic similarity metrics; Mathematics; multimodal image alignment; Mutual information; mutual information based method; Noise robustness; Optimization methods; Pixel; Random variables; Stochastic processes", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Loris:2006:TIU, author = "Ignace Loris and Guust Nolet and Ingrid Daubechies and F. A. Dahlen", title = "Tomographic inversion using $ \ell_1 $-norm regularization of wavelet coefficients", journal = "arXiv.org", volume = "??", number = "??", pages = "1--19", day = "8", month = aug, year = "2006", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Geophysical Journal International 170 (2007) 359-370", URL = "https://arxiv.org/abs/physics/0608094", abstract = "We propose the use of $ \ell_1 $ regularization in a wavelet basis for the solution of linearized seismic tomography problems $ A m = d $, allowing for the possibility of sharp discontinuities superimposed on a smoothly varying background. An iterative method is used to find a sparse solution $m$ that contains no more fine-scale structure than is necessary to fit the data $d$ to within its assigned errors.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "19 pages, 14 figures. Submitted to GJI July 2006. This preprint does not use GJI style files (which gives wrong received/accepted dates). Corrected typo.", subject = "Geophysics (physics.geo-ph)", } @Article{Zou:2006:TEA, author = "Jing Zou and Anna Gilbert and Martin Strauss and Ingrid Daubechies", title = "Theoretical and experimental analysis of a randomized algorithm for {Sparse Fourier Transform} analysis", journal = j-J-COMPUT-PHYS, volume = "211", number = "2", pages = "572--595", day = "20", month = jan, year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2005.06.005", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65T50 (42A10 94A12); 65T50 65T40 68W20 42A10", MRnumber = "2173397", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2000.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999105002883", ZMnumber = "1085.65128", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000232736800010", } @Article{Brodie:2007:SSM, author = "Joshua Brodie and Ingrid Daubechies and Christine {De Mol} and Domenico Giannone and Ignace Loris", title = "Sparse and stable {Markowitz} portfolios", journal = "arXiv.org", volume = "??", number = "??", pages = "1--17", day = "31", month = jul, year = "2007", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0708.0046", abstract = "We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the objective function a penalty proportional to the sum of the absolute values of the portfolio weights. This penalty regularizes (stabilizes) the optimization problem, encourages sparse portfolios (i.e. portfolios with only few active positions), and allows to account for transaction costs. Our approach recovers as special cases the no-short-positions portfolios, but does allow for short positions in limited number. We implement this methodology on two benchmark data sets constructed by Fama and French. Using only a modest amount of training data, we construct portfolios whose out-of-sample performance, as measured by Sharpe ratio, is consistently and significantly better than that of the naive evenly-weighted portfolio which constitutes, as shown in recent literature, a very tough benchmark.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Better emphasis of main result, new abstract, new examples and figures. New appendix with full details of algorithm. 17 pages, 6 figures.", subject = "Portfolio Management (q-fin.PM); Functional Analysis (math.FA); Applications (stat.AP)", } @Article{Cvetkovic:2007:SBO, author = "Zoran Cvetkovi{\'c} and Ingrid Daubechies and Benjamin F. {Logan, Jr.}", title = "Single-bit oversampled {A/D} conversion with exponential accuracy in the bit rate", journal = j-IEEE-TRANS-INF-THEORY, volume = "53", number = "11", pages = "3979--3989", month = nov, year = "2007", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/TIT.2007.907508", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A20 (94A34)", MRnumber = "2446550", MRreviewer = "David J. Santos", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", note = "Data Compression Conference (DCC 2002), Snowbird, UT, April 02--04, 2002.", ZMnumber = "1231.94041", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "Analog-to-digital (A/D) conversion; analogue-digital conversion; Bit rate; Costs; Data compression; Distortion; distortion-rate characteristic; dither; Helium; input band-limited signal; interpolation; Interpolation; Mathematics; oversampling factor; quantisation (signal); Quantization; quantization; sampling; Sampling methods; signal reconstruction; Signal resolution; signal sampling; single bit; single-bit oversampled A/D conversion; single-bit quantization; zero-crossings", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000250448800010", } @Article{Daubechies:2007:APG, author = "Ingrid Daubechies and Massimo Fornasier and Ignace Loris", title = "Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints", journal = "arXiv.org", volume = "??", number = "??", pages = "1--24", day = "28", month = jun, year = "2007", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0706.4297", abstract = "Regularization of ill-posed linear inverse problems via $ \ell_1 $ penalization has been proposed for cases where the solution is known to be (almost) sparse. One way to obtain the minimizer of such an $ \ell_1 $ penalized functional is via an iterative soft-thresholding algorithm. We propose an alternative implementation to $ \ell_1$-constraints, using a gradient method, with projection on $ \ell_1$-balls. The corresponding algorithm uses again iterative soft-thresholding, now with a variable thresholding parameter. We also propose accelerated versions of this iterative method, using ingredients of the (linear) steepest descent method. We prove convergence in norm for one of these projected gradient methods, without and with acceleration.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "24 pages, 5 figures. v2: added reference, some amendments, 27 pages.", subject = "Numerical Analysis (math.NA)", } @Article{Daubechies:2007:ISL, author = "Ingrid Daubechies and Gerd Teschke and Luminita Vese", title = "Iteratively solving linear inverse problems under general convex constraints", journal = j-INVERSE-PROBL-IMAGING, volume = "1", number = "1", pages = "29--46", month = feb, year = "2007", DOI = "https://doi.org/10.3934/ipi.2007.1.29", ISSN = "1930-8337 (print), 1930-8345 (electronic)", ISSN-L = "1930-8337", MRclass = "65J10 65J22 47A50; 35R30 (15A29 49N45 65R32 68U10 94A08)", MRnumber = "2262744", MRreviewer = "Taufiquar Rahman Khan", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1123.65044", acknowledgement = ack-nhfb, fjournal = "Inverse Problems and Imaging", journal-URL = "http://www.aimsciences.org/journals/homeAllIssue.jsp?journalID=11", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000255070500004", } @Article{Daubechies:2007:LER, author = "Ingrid Daubechies and Robert Lazarsfeld and John Morgan and Andrei Okounkov and Terence Tao", title = "Letter to the {Editor}: Reply to {Davey, Henriksen, Markovic and Pratt}", journal = j-NAMS, volume = "54", number = "6", pages = "694--694", month = jun # "\slash " # jul, year = "2007", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Tue Mar 13 07:04:17 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.ams.org/notices/200706/200706-full-issue.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Response to a letter on the same page about rejection of a submitted paper for lack of ``interaction with other areas of mathematics''.", } @Article{Daubechies:2007:SSM, author = "Ingrid Daubechies and Olof Runborg and Jing Zou", title = "A Sparse Spectral Method for Homogenization Multiscale Problems", journal = j-MULTISCALE-MODELING-SIMUL, volume = "6", number = "3", pages = "711--740", month = "????", year = "2007", CODEN = "MMSUBT", DOI = "https://doi.org/10.1137/060676258", ISSN = "1540-3459 (print), 1540-3467 (electronic)", ISSN-L = "1540-3459", MRclass = "65M70 (68W20); 65M70 65T50 35K15 35B27", MRnumber = "2368964", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/MMS/6/3; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siammms.bib", ZMnumber = "1152.65099", acknowledgement = ack-nhfb, fjournal = "Multiscale Modeling and Simulation", journal-URL = "http://epubs.siam.org/mms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Runborg, Olof/D-1510-2016 Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000252254800001", } @Article{Loris:2007:TIU, author = "Ignace Loris and Guust Nolet and Ingrid Daubechies and F. A. Dahlen", title = "Tomographic inversion using l(1)-norm regularization of wavelet coefficients", journal = j-GEOPHYS-J-INT, volume = "170", number = "1", pages = "359--370", month = jul, year = "2007", CODEN = "GJINEA", DOI = "https://doi.org/10.1111/j.1365-246X.2007.03409.x", ISSN = "0956-540x (print), 1365-246x (electronic)", ISSN-L = "0956-540X", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Geophysical journal international", journal-URL = "http://gji.oxfordjournals.org/content/by/year", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000247606400026", } @Article{Rudin:2007:ABA, author = "Cynthia Rudin and Robert E. Schapire and Ingrid Daubechies", title = "Analysis of boosting algorithms using the smooth margin function", journal = j-ANN-STAT, volume = "35", number = "6", pages = "2723--2768", month = dec, year = "2007", CODEN = "ASTSC7", DOI = "https://doi.org/10.1214/009053607000000785", ISSN = "0090-5364 (print), 2168-8966 (electronic)", ISSN-L = "0090-5364", MRclass = "62H30 (68T05); 68W40 68Q25 68Q32", MRnumber = "2382664", MRreviewer = "Witold Pedrycz", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/annstat2000.bib", URL = "http://projecteuclid.org/euclid.aos/1201012978; http://www.jstor.org/stable/25464607", ZMnumber = "1132.68827", abstract = "We introduce a useful tool for analyzing boosting algorithms called the ``smooth margin function,'' a differentiable approximation of the usual margin for boosting algorithms. We present two boosting algorithms based on this smooth margin, ``coordinate ascent boosting'' and ``approximate'' coordinate ascent boosting,'' which are similar to Freund and Schapire's AdaBoost algorithm and Breiman's arc-gv algorithm. We give convergence rates to the maximum margin solution for both of our algorithms and for arc-gv. We then study AdaBoost's convergence properties using the smooth margin function. We precisely bound the margin attained by AdaBoost when the edges of the weak classifiers fall within a specified range. This shows that a previous bound proved by R{\"a}tsch and Warmuth is exactly tight. Furthermore, we use the smooth margin to capture explicit properties of AdaBoost in cases where cyclic behavior occurs.", acknowledgement = ack-nhfb, fjournal = "Annals of Statistics", journal-URL = "http://projecteuclid.org/all/euclid.aos/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000253077800021", } @InProceedings{Rudin:2007:PSC, author = "Cynthia Rudin and Robert E. Schapire and Ingrid Daubechies", booktitle = "{Prediction and Discovery. AMS-IMS-SIAM Joint Summer Research Conference on Machine and Statistical Learning: Prediction and Discovery, Snowbird, UT, USA, June 25--29, 2006}", title = "Precise statements of convergence for {AdaBoost} and arc-gv", volume = "443", publisher = pub-AMS, address = pub-AMS:adr, pages = "131--145", year = "2007", DOI = "https://doi.org/10.1090/conm/443/08559", ISBN = "0-8218-4195-5 (paperback)", ISBN-13 = "978-0-8218-4195-2 (paperback)", MRclass = "68W40 68Q25 68Q32; 68W40 (62H30 68Q32 68T05)", MRnumber = "2433289", MRreviewer = "Henning Fernau", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Contemp. Math.", ZMnumber = "1141.68722", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2008:APG, author = "Ingrid Daubechies and Massimo Fornasier and Ignace Loris", title = "Accelerated Projected Gradient Method for Linear Inverse Problems with Sparsity Constraints", journal = j-FOURIER-ANAL-APPL, volume = "14", number = "5--6", pages = "764--792", month = dec, year = "2008", DOI = "https://doi.org/10.1007/s00041-008-9039-8", ISSN = "1069-5869 (print), 1531-5851 (electronic)", MRclass = "65K10 (15A29 49N45 52A41 65F22); 65J10 65J20 65J22 47A52 15A29 49M30 65F22 65K10 90C25 52A41", MRnumber = "2461606", MRreviewer = "Rosemary A. Renaut", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1175.65062", acknowledgement = ack-nhfb, fjournal = "The Journal of Fourier Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000261411300008", } @Article{Daubechies:2008:GRE, author = "Ingrid Daubechies and C. S. G{\"u}nt{\"u}rk and Y. Wang and {\"O}. Y{\i}lmaz", title = "The Golden Ratio Encoder", journal = "arXiv.org", volume = "??", number = "??", pages = "1--24", day = "7", month = sep, year = "2008", CODEN = "????", DOI = "https://doi.org/10.1109/TIT.2010.2059750", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0809.1257", abstract = "This paper proposes a novel Nyquist-rate analog-to-digital (A/D) conversion algorithm which achieves exponential accuracy in the bit-rate despite using imperfect components. The proposed algorithm is based on a robust implementation of a beta-encoder where the value of the base beta is equal to golden mean. It was previously shown that beta-encoders can be implemented in such a way that their exponential accuracy is robust against threshold offsets in the quantizer element. This paper extends this result by allowing for imperfect analog multipliers with imprecise gain values as well. A formal computational model for algorithmic encoders and a general test bed for evaluating their robustness is also proposed.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "24 pages, 9 figures.", subject = "Information Theory (cs.IT)", } @TechReport{Daubechies:2008:IRWa, author = "Ingrid Daubechies and Ronald DeVore and Massimo Fornasier and C. Sinan G{\"u}nt{\"u}rk", title = "Iteratively Re-weighted Least Squares Minimization for Sparse Recovery", type = "Report", institution = "Program in Applied and Computational Mathematics, Princeton University", address = "Princeton, NJ, USA", pages = "36", day = "14", month = jun, year = "2008", DOI = "https://doi.org/10.21236/ada528510", bibdate = "Fri Mar 9 11:16:10 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.dtic.mil/dtic/tr/fulltext/u2/a528510.pdf", abstract = "Under certain conditions (known as the Restricted Isometry Property or RIP) on the m x N matrix (where m N), vectors x included in R(sup N) that are sparse (i.e. have most of their entries equal to zero) can be recovered exactly from y:= Phi-x even though Phi(inverse)(y) is typically an (N - m)- dimensional hyperplane; in addition x is then equal to the element in Phi(inverse)(y) of minimal L1-norm. This minimal element can be identified via linear programming algorithms. We study an alternative method of determining x, as the limit of an Iteratively Re-weighted Least Squares (IRLS) algorithm. The main step of this IRLS finds, for a given weight vector w, the element in Phi(inverse)(y) with smallest L2(w)-norm. If x(n) is the solution at iteration step n then the new weight w(n) is defined by wi(n):= [magnitude-xi(n)(exp 2) + epsilon(n)exp(2)]exp( -1/2) i = 1, \ldots{}, N, for a decreasing sequence of adaptively defined epsilon-n; this updated weight is then used to obtain x(n+1) and the process is repeated. We prove that when satisfies the RIP conditions, the sequence x(n) converges for all y, regardless of whether Phi(inverse)(y) contains a sparse vector. If there is a sparse vector in Phi(inverse)(y), then the limit is this sparse vector, and when x(n) is sufficiently close to the limit, the remaining steps of the algorithm converge exponentially fast (linear convergence in the terminology of numerical optimization). The same algorithm with the heavier weight [magnitude-xi(n)(exp 1 + lambda/2) + epsilon(n)exp(2)]exp( -1/2) , i = 1, \ldots{}, N, where lambda is between 0 and 1, can recover sparse solutions as well more importantly, we show its local convergence is superlinear and approaches a quadratic rate for lambda approaching to zero.", acknowledgement = ack-nhfb, keywords = "120100, numerical mathematics; 120500, computer programming and software; algorithms; convergence; irls(iteratively reweighted least squares); iterations; least squares method; linear programming; numerical methods and procedures; optimization; rip(restricted isometry property); sparse matrix; vector analysis", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2008:IRWb, author = "Ingrid Daubechies and Ronald DeVore and Massimo Fornasier and C. Sinan G{\"u}nt{\"u}rk", title = "Iteratively re-weighted least squares minimization for sparse recovery", journal = "arXiv.org", volume = "??", number = "??", pages = "1--35", day = "3", month = jul, year = "2008", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0807.0575", abstract = "We analyze an Iteratively Re-weighted Least Squares (IRLS) algorithm for promoting l1-minimization in sparse and compressible vector recovery. We prove its convergence and we estimate its local rate. We show how the algorithm can be modified in order to promote lt-minimization for $ t < 1 $, and how this modification produces superlinear rates of convergence.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "35 pages, 4 figures.", subject = "Numerical Analysis (math.NA)", } @InProceedings{Daubechies:2008:IRWc, author = "Ingrid Daubechies and Ronald DeVore and Massimo Fornasier and C. Sinan G{\"u}nt{\"u}rk", booktitle = "{2008 42nd Annual Conference on Information Sciences and Systems (CISS 2008)}", title = "Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery", volume = "????", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "26--29", month = mar, year = "2008", DOI = "https://doi.org/10.1109/CISS.2008.4558489", ISSN = "????", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Algorithm design and analysis; compressive sensing; Equations; iterative methods; Iterative methods; iteratively re-weighted least squares minimization; Least squares approximation; least squares approximations; Least squares methods; linear programming; Linear programming; linear rate; Linear systems; Mathematics; Minimization methods; restricted isometry property; Sparse matrices; sparse recovery", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2008:SIC, author = "Ingrid Daubechies and Gerd Teschke and Luminita Vese", editor = "P. W. Hawkes", title = "On some iterative concepts for image restoration", journal = "Advances in Imaging and Electron Physics", volume = "150", pages = "1--51", year = "2008", DOI = "https://doi.org/10.1016/S1076-5670(07)00001-8", ISBN = "0-12-374217-X", ISBN-13 = "978-0-12-374217-9", ISSN = "1076-5670", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Advances in Imaging and Electron Physics", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000254216500001", } @InCollection{Daubechies:2008:VWA, author = "Ingrid Daubechies", title = "{VII.3} Wavelets and Applications", crossref = "Gowers:2008:PCM", pages = "848--862", year = "2008", DOI = "https://doi.org/10.1515/9781400830398.848", bibdate = "Fri Mar 09 10:56:27 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Johnson:2008:IPA, author = "C. Richard {Johnson, Jr.} and Ella Hendriks and Igor J. Berezhnoy and Eugene Brevdo and Shannon M. Hughes and Ingrid Daubechies and Jia Li and Eric Postma and James Z. Wang", title = "Image processing for artist identification: Computerized analysis of {Vincent van Gogh}'s painting brushstrokes", journal = j-IEEE-SIGNAL-PROCESS-MAG, volume = "25", number = "4", pages = "37--48", month = jul, year = "2008", CODEN = "ISPRE6", DOI = "https://doi.org/10.1109/MSP.2008.923513", ISSN = "1053-5888 (print), 1558-0792 (electronic)", ISSN-L = "1053-5888", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Magazine", keywords = "art; Art; art historian; artist identification; Brushes; brushwork analysis; Educational institutions; Guidelines; High-resolution imaging; image processing; Image processing; image processing tool; Kroller-Muller Museum; Painting; Shape; Subspace constraints; Surface topography; Van Gogh Museum", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Magazine, Signal Processing/E-9947-2015 Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000257074500007", } @Article{Loris:2008:NRT, author = "Ignace Loris and H. Douma and G. Nolet and Ingrid Daubechies and C. Regone", title = "Nonlinear regularization techniques for seismic tomography", journal = "arXiv.org", volume = "??", number = "??", pages = "1--23", day = "26", month = aug, year = "2008", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0808.3472", abstract = "The effects of several nonlinear regularization techniques are discussed in the framework of 3D seismic tomography. Traditional, linear, $ \ell_2 $ penalties are compared to so-called sparsity promoting $ \ell_1 $ and $ \ell_0 $ penalties, and a total variation penalty. Which of these algorithms is judged optimal depends on the specific requirements of the scientific experiment. If the correct reproduction of model amplitudes is important, classical damping towards a smooth model using an $ \ell_2 $ norm works almost as well as minimizing the total variation but is much more efficient. If gradients (edges of anomalies) should be resolved with a minimum of distortion, we prefer $ \ell_1 $ damping of Daubechies-4 wavelet coefficients. It has the additional advantage of yielding a noiseless reconstruction, contrary to simple $ \ell_2 $ minimization (`Tikhonov regularization') which should be avoided. In some of our examples, the $ \ell_0 $ method produced notable artifacts. In addition we show how nonlinear $ \ell_1 $ methods for finding sparse models can be competitive in speed with the widely used $ \ell_2 $ methods, certainly under noisy conditions, so that there is no need to shun $ \ell_1 $ penalizations.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "23 pages, 7 figures. Typographical error corrected in accelerated algorithms (14) and (20).", subject = "Geophysics (physics.geo-ph)", } @Article{Rudin:2008:ABA, author = "Cynthia Rudin and Robert E. Schapire and Ingrid Daubechies", title = "Analysis of boosting algorithms using the smooth margin function", journal = "arXiv.org", volume = "??", number = "??", pages = "1--49", day = "28", month = mar, year = "2008", CODEN = "????", DOI = "https://doi.org/10.1214/009053607000000785", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Annals of Statistics 2007, Vol. 35, No. 6, 2723-2768", URL = "https://arxiv.org/abs/0803.4092", abstract = "We introduce a useful tool for analyzing boosting algorithms called the ``smooth margin function,'' a differentiable approximation of the usual margin for boosting algorithms. We present two boosting algorithms based on this smooth margin, ``coordinate ascent boosting'' and ``approximate coordinate ascent boosting,'' which are similar to Freund and Schapire's AdaBoost algorithm and Breiman's arc-gv algorithm. We give convergence rates to the maximum margin solution for both of our algorithms and for arc-gv. We then study AdaBoost's convergence properties using the smooth margin function. We precisely bound the margin attained by AdaBoost when the edges of the weak classifiers fall within a specified range. This shows that a previous bound proved by R{\"a}tsch and Warmuth is exactly tight. Furthermore, we use the smooth margin to capture explicit properties of AdaBoost in cases where cyclic behavior occurs.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Published in at this http URL the Annals of Statistics ( this http URL ) by the Institute of Mathematical Statistics ( this http URL ).", subject = "Machine Learning (stat.ML); Statistics Theory (math.ST)", } @Article{Brodie:2009:SSM, author = "Joshua Brodie and Ingrid Daubechies and Christine {De Mol} and Domenico Giannone and Ignace Loris", title = "Sparse and stable {Markowitz} portfolios", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "106", number = "30", pages = "12267--12272", day = "28", month = jul, year = "2009", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.0904287106", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", MRclass = "91G10", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/40484125", ZMnumber = "1203.91271", abstract = "We consider the problem of portfolio selection within the classical Markowitz mean-variance framework, reformulated as a constrained least-squares regression problem. We propose to add to the objective function a penalty proportional to the sum of the absolute values of the portfolio weights. This penalty regularizes (stabilizes) the optimization problem, encourages sparse portfolios (i.e., portfolios with only few active positions), and allows accounting for transaction costs. Our approach recovers as special cases the no-short-positions portfolios, but does allow for short positions in limited number. We implement this methodology on two benchmark data sets constructed by Fama and French. Using only a modest amount of training data, we construct portfolios whose out-of-sample performance, as measured by Sharpe ratio, is consistently and significantly better than that of the naive evenly weighted portfolio.", acknowledgement = ack-nhfb, fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Giannone, Domenico/0000-0003-3850-2586", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000268440200014", } @Article{Bunn:2009:WCW, author = "Jonathan Bunn and Doug Boyer and Jukka Jernvall and Yaron Lipman and Ingrid Daubechies", title = "Who cares which way is up? {An} orientation and landmark-free quantification of tooth shape", journal = "Journal of Vertebrate Paleontology", volume = "29", number = "S", pages = "72A-73A", year = "2009", ISSN = "0272-4634", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000207952400106", } @Article{Daubechies:2009:ICA, author = "Ingrid Daubechies and E. Roussos and S. Takerkart and M. Benharrosh and C. Golden and K. D'Ardenne and W. Richter and J. D. Cohen and J. Haxby", title = "Independent component analysis for brain {fMRI} does not select for independence", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "106", number = "26", pages = "10415--10422", day = "30", month = jun, year = "2009", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.0903525106", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/40483565", abstract = "InfoMax and FastICA are the independent component analysis algorithms most used and apparently most effective for brain fMRI. We show that this is linked to their ability to handle effectively sparse components rather than independent components as such. The mathematical design of better analysis tools for brain fMRI should thus emphasize other mathematical characteristics than independence.", acknowledgement = ack-nhfb, fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000267564300006", } @Article{Daubechies:2009:SWT, author = "Ingrid Daubechies and Jianfeng Lu and Hau-Tieng Wu", title = "Synchrosqueezed Wavelet Transforms: a Tool for Empirical Mode Decomposition", journal = "arXiv.org", volume = "??", number = "??", pages = "1--23", day = "12", month = dec, year = "2009", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0912.2437", abstract = "The EMD algorithm, first proposed in [11], made more robust as well as more versatile in [12], is a technique that aims to decompose into their building blocks functions that are the superposition of a (reasonably) small number of components, well separated in the time-frequency plane, each of which can be viewed as approximately harmonic locally, with slowly varying amplitudes and frequencies. The EMD has already shown its usefulness in a wide range of applications including meteorology, structural stability analysis, medical studies -- see, e.g. [13]. On the other hand, the EMD algorithm contains heuristic and ad-hoc elements that make it hard to analyze mathematically. In this paper we describe a method that captures the flavor and philosophy of the EMD approach, albeit using a different approach in constructing the components. We introduce a precise mathematical definition for a class of functions that can be viewed as a superposition of a reasonably small number of approximately harmonic components, and we prove that our method does indeed succeed in decomposing arbitrary functions in this class. We provide several examples, for simulated as well as real data.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "23 pages.", subject = "Numerical Analysis (math.NA)", } @InProceedings{Jafarpour:2009:SAP, author = "S. Jafarpour and G. Polatkan and E. Brevdo and Shannon Hughes and A. Brasoveanu and Ingrid Daubechies", booktitle = "2009 17th European Signal Processing Conference", title = "Stylistic analysis of paintings using wavelets and machine learning", volume = "????", number = "", publisher = "????", address = "????", pages = "1220--1224", month = aug, year = "2009", DOI = "", ISSN = "????", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Abstracts; art; dual tree complex wavelet transform; hidden Markov models; hidden Markov tree modeling; image classification; Image resolution; learning (artificial intelligence); machine learning; painting stylistic analysis; Radio frequency; random forest classifier; Support vector machines; trees (mathematics); Vincent van Gogh paintings; wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lipman:2009:SCM, author = "Yaron Lipman and Ingrid Daubechies", title = "Surface Comparison with Mass Transportation", journal = "arXiv.org", volume = "??", number = "??", pages = "1--36", day = "17", month = dec, year = "2009", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0912.3488", abstract = "We use mass-transportation as a tool to compare surfaces (2-manifolds). In particular, we determine the ``similarity'' of two given surfaces by solving a mass-transportation problem between their conformal densities. This mass transportation problem differs from the standard case in that we require the solution to be invariant under global M{\"o}bius transformations. Our approach provides a constructive way of defining a metric in the abstract space of simply-connected smooth surfaces with boundary (i.e. surfaces of disk-type); this metric can also be used to define meaningful intrinsic distances between pairs of ``patches'' in the two surfaces, which allows automatic alignment of the surfaces. We provide numerical experiments on ``real-life'' surfaces to demonstrate possible applications in natural sciences.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Numerical Analysis (math.NA); Differential Geometry (math.DG)", } @InProceedings{Polatkan:2009:DFP, author = "Gungor Polatkan and Sina Jafarpour and Andrei Brasoveanu and Shannon Hughes and Ingrid Daubechies", booktitle = "{2009 16th IEEE International Conference on Image Processing (ICIP)}", title = "Detection of forgery in paintings using supervised learning", volume = "????", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2921--2924", month = nov, year = "2009", DOI = "https://doi.org/10.1109/icip.2009.5413338", ISSN = "1522-4880 (print), 2381-8549 (electronic)", ISSN-L = "1522-4880", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "art; Art; authentication; Blur Identification; confounding-factor-free dataset; Digital Painting Analysis; Forgery; forgery detection; Forgery Detection; ground truth data set; Hidden Markov models; hidden Markov models; hidden Markov tree modeling; Hidden Markov Trees; image acquisition; Image analysis; image analysis tools; image classification; Image Classification; Image color analysis; image painting; learning (artificial intelligence); Machine learning; object detection; Painting; painting wavelet coefficients; Statistics; Supervised learning; supervised machine learning; Wavelet coefficients; wavelet transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2010:GRE, author = "Ingrid Daubechies and Sinan G{\"u}nt{\"u}rk and Yang Wang and {\"O}zg{\"u}r Y{\i}lmaz", title = "The Golden Ratio Encoder", journal = j-IEEE-TRANS-INF-THEORY, volume = "56", number = "10", pages = "5097--5110", month = oct, year = "2010", CODEN = "IETTAW", DOI = "https://doi.org/10.1109/TIT.2010.2059750", ISSN = "0018-9448 (print), 1557-9654 (electronic)", ISSN-L = "0018-9448", MRclass = "94A12 (94A14); 94A24 94A29 94A12 94A14", MRnumber = "2808667", MRreviewer = "Reginaldo Palazzo, Jr.", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1366.94231", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Information Theory", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=18", keywords = "A/D conversion algorithm; Accuracy; algorithmic encoders; Analog-to-digital conversion; analogue-digital conversion; Approximation algorithms; Approximation methods; beta encoders; beta expansions; beta- encoder; codecs; Computational modeling; Converters; golden ratio; golden ratio encoder; Modulation; Nyquist-rate analog-to-digital conversion algorithm; quantization; quantizer element; Robustness; robustness", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Wang, Yang/0000-0002-8903-2388", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000283260900022", } @Article{Daubechies:2010:IRL, author = "Ingrid Daubechies and Ronald DeVore and Massimo Fornasier and C. Sinan G{\"u}nt{\"u}rk", title = "Iteratively Reweighted Least Squares Minimization for Sparse Recovery", journal = j-COMM-PURE-APPL-MATH, volume = "63", number = "1", pages = "1--38", month = jan, year = "2010", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.20303", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "94A08 (42C40 65K10 90C30); 65F20 94A08 42C40 65K10 90C30", MRnumber = "2588385", MRreviewer = "Joseph D. Lakey", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1202.65046", acknowledgement = ack-nhfb, fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000272307900001", } @InProceedings{Daubechies:2010:WYM, author = "Ingrid Daubechies", booktitle = "{Proceedings of the International Congress of Mathematicians. Volume I}", title = "The work of {Yves Meyer}", publisher = "Hindustan Book Agency", address = "New Delhi, India", pages = "115--124", year = "2010", ISBN = "981-4324-30-2 (set); 81-85931-08-9 (hardcover); 981-4324-31-0 (hardcover); 981-4324-35-3 (e-book)", ISBN-13 = "978-981-4324-30-4 (set); 978-81-85931-08-1 (hardcover); 978-981-4324-31-1 (hardcover); 978-981-4324-35-9 (e-book)", MRclass = "01A70 (42-03) 42C40 94-03 94A08", MRnumber = "2827886", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1225.01059", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kobiler:2010:HCB, author = "Oren Kobiler and Yaron Lipman and Kate Therkelsen and Ingrid Daubechies and Lynn W. Enquist", title = "Herpesviruses carrying a {Brainbow} cassette reveal replication and expression of limited numbers of incoming genomes", journal = j-NATURE-COMMUN, volume = "1", number = "9", pages = "146--153", day = "21", month = dec, year = "2010", CODEN = "NCAOBW", DOI = "https://doi.org/10.1038/ncomms1145", ISSN = "2041-1723 (electronic)", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.nature.com/ncomms/journal/v1/n9/full/ncomms1145.html", acknowledgement = ack-nhfb, article-number = "146", fjournal = "Nature Communications", journal-URL = "http://www.nature.com/ncomms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Kobiler, Oren/0000-0001-9914-3770", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012 Kobiler, Oren/J-2268-2012", unique-id = "ISI:000288225300014", } @Article{Lipman:2010:SFE, author = "Yaron Lipman and Xiaobai Chen and Ingrid Daubechies and Thomas Funkhouser", title = "Symmetry Factored Embedding And Distance", journal = j-TOG, volume = "29", number = "4", pages = "103:1--103:??", month = jul, year = "2010", CODEN = "ATGRDF", DOI = "https://doi.org/10.1145/1778765.1778840; https://doi.org/10.1145/1833349.1778840", ISSN = "0730-0301 (print), 1557-7368 (electronic)", ISSN-L = "0730-0301", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/tog.bib", abstract = "We introduce the Symmetry Factored Embedding (SFE) and the Symmetry Factored Distance (SFD) as new tools to analyze and represent symmetries in a point set. The SFE provides new coordinates in which symmetry is 'factored out,' and the SFD is the Euclidean distance in that space. These constructions characterize the space of symmetric correspondences between points -- i.e., orbits. A key observation is that a set of points in the same orbit appears as a clique in a correspondence graph induced by pairwise similarities. As a result, the problem of finding approximate and partial symmetries in a point set reduces to the problem of measuring connectedness in the correspondence graph, a well-studied problem for which spectral methods provide a robust solution. We provide methods for computing the SFE and SFD for extrinsic global symmetries and then extend them to consider partial extrinsic and intrinsic cases. During experiments with difficult examples, we find that the proposed methods can characterize symmetries in inputs with noise, missing data, non-rigid deformations, and complex symmetries, without a priori knowledge of the symmetry group. As such, we believe that it provides a useful tool for automatic shape analysis in applications such as segmentation and stationary point detection.", acknowledgement = ack-nhfb, article-number = "103", articleno = "103", fjournal = "ACM Transactions on Graphics", journal-URL = "http://portal.acm.org/browse_dl.cfm?idx=J778", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000279806600073", } @Article{Loris:2010:NRT, author = "Ignace Loris and H. Douma and G. Nolet and Ingrid Daubechies and C. Regone", title = "Nonlinear regularization techniques for seismic tomography", journal = j-J-COMPUT-PHYS, volume = "229", number = "3", pages = "890--905", day = "1", month = feb, year = "2010", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2009.10.020", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "86A15 (65N21); 86A15 86A22 42C40", MRnumber = "2566369", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/jcomputphys2010.bib", URL = "http://www.sciencedirect.com/science/article/pii/S0021999109005725", ZMnumber = "1182.86003", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000273084800018", } @InProceedings{Anitha:2011:VUR, author = "A. Anitha and A. Brasoveanu and M. F. Duarte and Shannon M. Hughes and Ingrid Daubechies and J. Dik and K. Janssens and M. Alfeld", booktitle = "2011 19th European Signal Processing Conference", title = "Virtual underpainting reconstruction from {X}-ray fluorescence imaging data", volume = "????", number = "", publisher = "????", address = "????", pages = "1239--1243", month = aug, year = "2011", DOI = "", ISSN = "2076-1465", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "acquisition artifacts; art; canvases; chemical element data; Chemical elements; Chemicals; fluorescence; Image color analysis; image colour analysis; image reconstruction; image restoration; Imaging; information loss; noninvasive X-ray fluorescence imaging data; paint color estimation; painting; Painting; pigments; surface painting; underpainting features; underpainting recovery; virtual underpainting reconstruction; visual appearance; visual image reconstruction; X-ray imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Boyer:2011:AAQa, author = "Doug M. Boyer and Yaron Lipman and Elizabeth {St.Clair} and Jesus Puente and Thomas Funkhouser and Biren A. Patel and Jukka Jernvall and Ingrid Daubechies", title = "Algorithms to automatically quantify the geometric similarity of anatomical surfaces", journal = "arXiv.org", volume = "??", number = "??", pages = "1--6", day = "17", month = oct, year = "2011", CODEN = "????", DOI = "https://doi.org/10.1073/pnas.1112822108", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in PNAS 2011 108 (45) 18221-18226", URL = "https://arxiv.org/abs/1110.3649", abstract = "We describe new approaches for distances between pairs of 2-dimensional surfaces (embedded in 3-dimensional space) that use local structures and global information contained in inter-structure geometric relationships. We present algorithms to automatically determine these distances as well as geometric correspondences. This is motivated by the aspiration of students of natural science to understand the continuity of form that unites the diversity of life. At present, scientists using physical traits to study evolutionary relationships among living and extinct animals analyze data extracted from carefully defined anatomical correspondence points (landmarks). Identifying and recording these landmarks is time consuming and can be done accurately only by trained morphologists. This renders these studies inaccessible to non-morphologists, and causes phenomics to lag behind genomics in elucidating evolutionary patterns. Unlike other algorithms presented for morphological correspondences our approach does not require any preliminary marking of special features or landmarks by the user. It also differs from other seminal work in computational geometry in that our algorithms are polynomial in nature and thus faster, making pairwise comparisons feasible for significantly larger numbers of digitized surfaces. We illustrate our approach using three datasets representing teeth and different bones of primates and humans, and show that it leads to highly accurate results.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Changes with respect to v1, v2: an Erratum was added, correcting the references for one of the three datasets. Note that the datasets and code for this paper can be obtained from the Data Conservancy (see Download column on v1, v2).", subject = "Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV); Graphics (cs.GR)", } @Article{Boyer:2011:AAQb, author = "Doug M. Boyer and Yaron Lipman and Elizabeth {St.Clair} and Jesus Puente and Biren A. Patel and Thomas Funkhouser and Jukka Jernvall and Ingrid Daubechies", title = "Algorithms to automatically quantify the geometric similarity of anatomical surfaces", journal = j-PROC-NATL-ACAD-SCI-USA, volume = "108", number = "45", pages = "18221--18226", day = "8", month = nov, year = "2011", CODEN = "PNASA6", DOI = "https://doi.org/10.1073/pnas.1112822108", ISSN = "0027-8424 (print), 1091-6490 (electronic)", ISSN-L = "0027-8424", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/41352695", abstract = "We describe approaches for distances between pairs of two-dimensional surfaces (embedded in three-dimensional space) that use local structures and global information contained in interstructure geometric relationships. We present algorithms to automatically determine these distances as well as geometric correspondences. This approach is motivated by the aspiration of students of natural. science to understand the continuity of form that unites the diversity of life. At present scientists using physical traits to study evolutionary relationships among living and extinct animals analyze data extracted from carefully defined anatomical correspondence points (landmarks). Identifying and recording these landmarks is time consuming and can be done accurately only by trained morphologists. This necessity renders these studies inaccessible to nonmorphologists and causes phenomics to lag behind genomics in elucidating evolutionary patterns. Unlike other algorithms presented for morphological correspondences, our approach does not require any preliminary marking of special features or landmarks by the user. It also differs from other seminal work in computational geometry in that our algorithms are polynomial in nature and thus faster, making pairwise comparisons feasible for significantly larger numbers of digitized surfaces. We illustrate our approach using three datasets representing teeth and different bones of primates and humans, and show that it leads to highly accurate results.", acknowledgement = ack-nhfb, fjournal = "Proceedings of the National Academy of Sciences of the United States of America", journal-URL = "http://www.pnas.org/content/by/year", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012 Patel, Biren/B-8373-2016", unique-id = "ISI:000296700000020", } @Article{Bunn:2011:CDN, author = "Jonathan M. Bunn and Doug M. Boyer and Yaron Lipman and Elizabeth M. St Clair and Jukka Jernvall and Ingrid Daubechies", title = "Comparing {Dirichlet} Normal Surface Energy of Tooth Crowns, a New Technique of Molar Shape Quantification for Dietary Inference, With Previous Methods in Isolation and in Combination", journal = j-AM-J-PHYS-ANTHROPOL, volume = "145", number = "2", pages = "247--261", month = jun, year = "2011", CODEN = "AJPNA9", DOI = "https://doi.org/10.1002/ajpa.21489", ISSN = "0002-9483 (print), 1096-8644 (electronic)", ISSN-L = "0002-9483", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "American Journal of Physical Anthropology", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-8644", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Rastelli, Marcio/B-8034-2011 Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000290772000007", } @Article{Daubechies:2011:CPD, author = "Yaron Lipman Reema Al-Aifari Ingrid Daubechies", title = "The continuous {Procrustes} distance between two surfaces", journal = "arXiv.org", volume = "??", number = "??", pages = "1--21", day = "22", month = jun, year = "2011", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1106.4588", abstract = "The Procrustes distance is used to quantify the similarity or dissimilarity of (3-dimensional) shapes, and extensively used in biological morphometrics. Typically each (normalized) shape is represented by $N$ landmark points, chosen to be homologous (i.e. corresponding to each other), as far as possible, and the Procrustes distance is then computed as the infimum, over all Euclidean transformations $R$, of the sum of the squared Euclidean distances between $ R x_j$ and $ x'_j$, and the correspondences $ x_j \leftrightarrow x'_j$ are picked in an optimal way. The discrete Procrustes distance has the drawback that each shape is represented by only a finite number of points, which may not capture all the geometric aspects of interest; a need has been expressed for alternatives that are still easy to compute. We propose in this paper the concept of continuous Procrustes distance, and prove that it provides a true metric for two-dimensional surfaces embedded in three dimensions. The continuous Procrustes distance leads to a hard optimization problem over the group of area-preserving diffeomorphisms. One of the core observations of our paper is that for small continuous Procrustes distances, the global optimum of the Procrustes distance can be uniformly approximated by a conformal map. This observation leads to an efficient algorithm to calculate approximations to this new distance.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "4 figures, full version of work presented first at Third Workshop on Non-Rigid Shape Analysis and Deformable Image Alignment (in conjunction with CVPR'10), June 2010.", subject = "Differential Geometry (math.DG); Metric Geometry (math.MG)", } @Article{Daubechies:2011:SWT, author = "Ingrid Daubechies and Jianfeng Lu and Hau-Tieng Wu", title = "Synchrosqueezed wavelet transforms: An empirical mode decomposition-like tool", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "30", number = "2", pages = "243--261", month = mar, year = "2011", DOI = "https://doi.org/10.1016/j.acha.2010.08.002", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C15 (65T60) 42C40", MRnumber = "2754779", MRreviewer = "Georg Zimmermann", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1213.42133", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Lu, Jianfeng/0000-0001-6255-5165; Wu, Hau-Tieng/0000-0002-0253-3156", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000286705400008", } @InBook{Dooms:2011:W, author = "Ann Dooms and Ingrid Daubechies", booktitle = "Optical and Digital Image Processing", title = "Wavelets", publisher = "Wiley-VCH Verlag GmbH \& Co. KGaA", address = "????", pages = "135--154", year = "2011", DOI = "https://doi.org/10.1002/9783527635245.ch7", ISBN = "3-527-63524-6", ISBN-13 = "978-3-527-63524-5", bibdate = "Thu Mar 8 16:48:01 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "compression, signal decomposition, denoising, shearlet transform, time-frequency windows, wavelet transform, multiresolution analysis, directional transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lipman:2011:CWDa, author = "Yaron Lipman and Ingrid Daubechies", title = "Conformal {Wasserstein} distances: comparing surfaces in polynomial time", journal = "arXiv.org", volume = "??", number = "??", pages = "1--23", day = "22", month = mar, year = "2011", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Advances in Mathematics, vol. 227 (2010) pp. 1047-1077", URL = "https://arxiv.org/abs/1103.4408", abstract = "We present a constructive approach to surface comparison realizable by a polynomial-time algorithm. We determine the ``similarity'' of two given surfaces by solving a mass-transportation problem between their conformal densities. This mass transportation problem differs from the standard case in that we require the solution to be invariant under global M{\"o}bius transformations. We present in detail the case where the surfaces to compare are disk-like; we also sketch how the approach can be generalized to other types of surfaces.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "23 pages, 3 figures.", subject = "Differential Geometry (math.DG); Metric Geometry (math.MG)", } @Article{Lipman:2011:CWDb, author = "Yaron Lipman and Ingrid Daubechies", title = "Conformal {Wasserstein} distances: comparing surfaces in polynomial time", journal = j-ADV-MATH, volume = "227", number = "3", pages = "1047--1077", day = "20", month = jun, year = "2011", CODEN = "ADMTA4", DOI = "https://doi.org/10.1016/j.aim.2011.01.020", ISSN = "0001-8708 (print), 1090-2082 (electronic)", ISSN-L = "0001-8708", MRclass = "53C23; 53B50 58D17 53B20", MRnumber = "2799600", MRreviewer = "Melanie Pivarski", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1217.53026", acknowledgement = ack-nhfb, fjournal = "Advances in Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/00018708", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", researcherid-numbers = "Daubechies, Ingrid/B-5886-2012", unique-id = "ISI:000290827500001", } @Article{Lipman:2011:CWDc, author = "Yaron Lipman and Jesus Puente and Ingrid Daubechies", title = "Conformal {Wasserstein} Distance: {II}. {Computational} Aspects and Extensions", journal = "arXiv.org", volume = "??", number = "??", pages = "1--42", day = "24", month = mar, year = "2011", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Math. Comp. 82 (2013), 331--381.", URL = "https://arxiv.org/abs/1103.4681", abstract = "This paper is a companion paper to [Lipman and Daubechies 2011]. We provide numerical procedures and algorithms for computing the alignment of and distance between two disk type surfaces. We provide a convergence analysis of the discrete approximation to the arising mass-transportation problems. We furthermore generalize the framework to support sphere-type surfaces, and prove a result connecting this distance to local geodesic distortion. Lastly, we provide numerical experiments on several surfaces' datasets and compare to state of the art method.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Numerical Analysis (math.NA)", } @InProceedings{Platisa:2011:SFC, author = "L. Plati{\v{s}}a and B. Cornells and T. Ru{\v{z}}i{\'c} and A. Pi{\v{z}}urica and A. Dooms and M. Martens and M. {De Mey} and Ingrid Daubechies", booktitle = "{2011 18th IEEE International Conference on Image Processing}", title = "Spatiogram features to characterize pearls in paintings", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "801--804", month = sep, year = "2011", DOI = "https://doi.org/10.1109/ICIP.2011.6116677", ISSN = "1522-4880 (print), 2381-8549 (electronic)", ISSN-L = "1522-4880", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "art; Art; art historians; contemporary optical theory; content similarity; digital images; feature extraction; Ghent Altarpiece; Histograms; histograms; history; image analysis; image analysis techniques; Image processing; image representation; jewels characterization; Light sources; Measurement; Painting; paintings; pearls characterization; spatiogram features; spatiogram image representation; spatiograms; visual appearance; Visualization; visually observed image features", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Ruzic:2011:VRG, author = "Tijana Ru{\v{z}}i{\'c} and Bruno Cornelis and Ljiljana Plati{\v{s}}a and Aleksandra Pi{\v{z}}urica and Ann Dooms and Wilfried Philips and Maximiliaan Martens and Marc De Mey and Ingrid Daubechies", editor = "Jacques Blanc-Talon", booktitle = "{Advanced concepts for intelligent vision systems: 13th International Conference, ACIVS 2011, Ghent, Belgium, August 22-25, 2011, proceedings}", title = "Virtual Restoration of the {Ghent} Altarpiece Using Crack Detection and Inpainting", volume = "6915", publisher = pub-SV, address = pub-SV:adr, pages = "417--428", year = "2011", DOI = "https://doi.org/10.1007/978-3-642-23687-7_38", ISBN = "3-642-23687-1", ISBN-13 = "978-3-642-23687-7", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", LCCN = "TA1634 .A25 2011", bibdate = "Mon Mar 12 19:17:21 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = ser-LNCS, acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Simons:2011:SRGa, author = "Frederik J. Simons and Ignace Loris and Guust Nolet and Ingrid C. Daubechies and S. Voronin and J. S. Judd and P. A. Vetter and J. Charlety and C. Vonesch", title = "Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity", journal = "arXiv.org", volume = "??", number = "??", pages = "1--43", day = "14", month = apr, year = "2011", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1104.3151", abstract = "We propose a class of spherical wavelet bases for the analysis of geophysical models and forthe tomographic inversion of global seismic data. Its multiresolution character allows for modeling with an effective spatial resolution that varies with position within the Earth. Our procedure is numerically efficient and can be implemented with parallel computing. We discuss two possible types of discrete wavelet transforms in the angular dimension of the cubed sphere. We discuss benefits and drawbacks of these constructions and apply them to analyze the information present in two published seismic wavespeed models of the mantle, for the statistics and power of wavelet coefficients across scales. The localization and sparsity properties of wavelet bases allow finding a sparse solution to inverse problems by iterative minimization of a combination of the $ \ell_2 $ norm of data fit and the $ \ell_1 $ norm on the wavelet coefficients. By validation with realistic synthetic experiments we illustrate the likely gains of our new approach in future inversions of finite-frequency seismic data and show its readiness for global seismic tomography.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "43 pages, 11 figures, submitted to Geophysical Journal International.", subject = "Geophysics (physics.geo-ph); Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)", } @Article{Simons:2011:SRGb, author = "Frederik J. Simons and Ignace Loris and Guust Nolet and Ingrid C. Daubechies and S. Voronin and J. S. Judd and P. A. Vetter and J. Charlety and C. Vonesch", title = "Solving or resolving global tomographic models with spherical wavelets, and the scale and sparsity of seismic heterogeneity", journal = j-GEOPHYS-J-INT, volume = "187", number = "2", pages = "969--988", month = nov, year = "2011", CODEN = "GJINEA", DOI = "https://doi.org/10.1111/j.1365-246X.2011.05190.x", ISSN = "0956-540x (print), 1365-246x (electronic)", ISSN-L = "0956-540X", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Geophysical journal international", journal-URL = "http://gji.oxfordjournals.org/content/by/year", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Simons, Frederik/0000-0003-2021-6645", researcherid-numbers = "Simons, Frederik/A-3427-2008", unique-id = "ISI:000297116200030", } @Article{Simons:2011:WWL, author = "Frederik J. Simons and Ignace Loris and Eugene Brevdo and Ingrid C. Daubechies", editor = "Manos Papadakis and Dimitri Van De Ville and Vivek K. Goyal", booktitle = "Wavelets and Sparsity {XIV}", title = "Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion", journal = j-PROC-SPIE, volume = "8138", pages = "??--??", year = "2011", CODEN = "PSISDG", DOI = "https://doi.org/10.1117/12.892285", ISSN = "0277-786X (print), 1996-756X (electronic)", ISSN-L = "0277-786X", bibdate = "Mon Mar 12 19:12:18 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the SPIE --- The International Society for Optical Engineering", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Simons:2011:WWLa, author = "Frederik J. Simons and Ignace Loris and Eugene Brevdo and Ingrid C. Daubechies", title = "Wavelets and wavelet-like transforms on the sphere and their application to geophysical data inversion", journal = "arXiv.org", volume = "??", number = "??", pages = "1--15", day = "8", month = sep, year = "2011", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1109.1718", abstract = "Many flexible parameterizations exist to represent data on the sphere. In addition to the venerable spherical harmonics, we have the Slepian basis, harmonic splines, wavelets and wavelet-like Slepian frames. In this paper we focus on the latter two: spherical wavelets developed for geophysical applications on the cubed sphere, and the Slepian ``tree'', a new construction that combines a quadratic concentration measure with wavelet-like multiresolution. We discuss the basic features of these mathematical tools, and illustrate their applicability in parameterizing large-scale global geophysical (inverse) problems.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "15 pages, 11 figures, submitted to the Proceedings of the SPIE 2011 conference Wavelets and Sparsity XIV.", subject = "Data Analysis, Statistics and Probability (physics.data-an); Geophysics (physics.geo-ph)", } @InProceedings{Wolff:2011:UES, author = "J. Wolff and M. Martens and S. Jafarpour and Ingrid Daubechies and Robert Calderbank", booktitle = "{2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}", title = "Uncovering elements of style", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "1017--1020", month = may, year = "2011", DOI = "https://doi.org/10.1109/ICASSP.2011.5946579", ISSN = "1520-6149 (print), 2379-190X (electronic)", ISSN-L = "1520-6149", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "16th century Flemish painting style; Accuracy; art; Art; art historian; Artwork Classification; boosting algorithm; finished painting; Hidden Markov models; hidden Markov models; hidden Markov trees; Hidden Markov Trees; history; image analysis; Image Analysis; image classification; Machine Learning; Painting; preliminary sketch style; psychology; trees (mathematics); underpainting classification; underpainting style; wavelet analysis; Wavelet analysis; wavelet transforms; Wavelet transforms; Wavelet Transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Wu:2011:OTF, author = "Hau-Tieng Wu and Patrick Flandrin and Ingrid Daubechies", title = "One or two frequencies? {The} synchrosqueezing answers", journal = "Advances in Adaptive Data Analysis. Theory and Applications", volume = "3", number = "1--2", pages = "29--39", year = "2011", DOI = "https://doi.org/10.1142/S179353691100074X", ISSN = "1793-5369 (print), 1793-7175 (electronic)", ISSN-L = "1793-7175", MRclass = "94A12 42C40 65T60; 42C40 (65T60 94A12)", MRnumber = "2835580", MRreviewer = "Gerald B. Folland", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1234.94018", acknowledgement = ack-nhfb, ajournal = "Adv. Adapt. Data Anal.", fjournal = "Advances in Adaptive Data Analysis. Theory and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:2012:CRF, author = "Albert Cohen and Ingrid Daubechies and Ronald DeVore and Gerard Kerkyacharian and Dominique Picard", title = "Capturing Ridge Functions in High Dimensions from Point Queries", journal = j-CONST-APPROX, volume = "35", number = "2", pages = "225--243", month = apr, year = "2012", DOI = "https://doi.org/10.1007/s00365-011-9147-6", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "62M45 62G08 65D05 94A12; 62M45 (62G08 65D05 68Q32)", MRnumber = "2891227", MRreviewer = "Roberto Baragona", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1318.62286", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000300521500004", } @Article{Daubechies:2012:AHA, author = "Ingrid Daubechies and Gitta Kutyniok and Holger Rauhut and Thomas Strohmer", title = "Applied harmonic analysis and sparse approximation. {Abstracts} from the workshop held {June 10--16, 2012}", journal = "Oberwolfach Reports", volume = "9", number = "2", pages = "1759--1843", year = "2012", DOI = "https://doi.org/10.4171/OWR/2012/29", ISSN = "1660-8933 (print), 1660-8941 (electronic)", ISSN-L = "1660-8933", MRclass = "00B05 00B25 42-06 65-06 65Txx 94Axx 65K05 15B52", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1349.00127", acknowledgement = ack-nhfb, fjournal = "Oberwolfach Reports", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Polatkan:2012:BNA, author = "Gungor Polatkan and Mingyuan Zhou and Lawrence Carin and David Blei and Ingrid Daubechies", title = "A {Bayesian} Nonparametric Approach to Image Super-resolution", journal = "arXiv.org", volume = "??", number = "??", pages = "1--30", day = "22", month = sep, year = "2012", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1209.5019", abstract = "Super-resolution methods form high-resolution images from low-resolution images. In this paper, we develop a new Bayesian nonparametric model for super-resolution. Our method uses a beta-Bernoulli process to learn a set of recurring visual patterns, called dictionary elements, from the data. Because it is nonparametric, the number of elements found is also determined from the data. We test the results on both benchmark and natural images, comparing with several other models from the research literature. We perform large-scale human evaluation experiments to assess the visual quality of the results. In a first implementation, we use Gibbs sampling to approximate the posterior. However, this algorithm is not feasible for large-scale data. To circumvent this, we then develop an online variational Bayes (VB) algorithm. This algorithm finds high quality dictionaries in a fraction of the time needed by the Gibbs sampler.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "30 pages, 11 figures.", subject = "Learning (cs.LG); Machine Learning (stat.ML)", } @Article{Roussos:2012:VBL, author = "E. Roussos and S. Roberts and Ingrid Daubechies", title = "Variational {Bayesian} learning of sparse representations and its application in functional neuroimaging", journal = j-LECT-NOTES-COMP-SCI, volume = "7263", pages = "218--225", year = "2012", CODEN = "LNCSD9", ISSN = "0302-9743 (print), 1611-3349 (electronic)", ISSN-L = "0302-9743", bibdate = "Mon Mar 12 19:05:57 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Lecture Notes in Computer Science", journal-URL = "http://link.springer.com/bookseries/558", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Abry:2013:SII, author = "Patrice Abry and Jim Coddington and Ingrid Daubechies and Ella Hendriks and Shannon Hughes and Don H. Johnson and Eric Postma", title = "Special Issue: Image Processing for Digital Art Work Foreword", journal = j-SIG-PROC, volume = "93", number = "3, SI", pages = "525--526", month = mar, year = "2013", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/j.sigpro.2012.09.018", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", ORCID-numbers = "Abry, Patrice/0000-0002-7096-8290; Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000312521400001", } @Article{Al-Aifari:2013:CPD, author = "Reema Al-Aifari and Ingrid Daubechies and Yaron Lipman", title = "Continuous {Procrustes} distance between two surfaces", journal = j-COMM-PURE-APPL-MATH, volume = "66", number = "6", pages = "934--964", month = jun, year = "2013", CODEN = "CPAMAT, CPMAMV", DOI = "https://doi.org/10.1002/cpa.21444", ISSN = "0010-3640 (print), 1097-0312 (electronic)", ISSN-L = "0010-3640", MRclass = "51F99 (92B15 94A08 94A40) 68U05 65K10 30C30", MRnumber = "3043386", MRreviewer = "James W. Anderson", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1276.68157", acknowledgement = ack-nhfb, fjournal = "Communications on Pure and Applied Mathematics (New York)", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0312", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000317362200004", } @Article{Anitha:2013:RXR, author = "Anila Anitha and Andrei Brasoveanu and Marco Duarte and Shannon Hughes and Ingrid Daubechies and Joris Dik and Koen Janssens and Matthias Alfeld", title = "Restoration of {X}-ray fluorescence images of hidden paintings", journal = j-SIG-PROC, volume = "93", number = "3, SI", pages = "592--604", month = mar, year = "2013", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/j.sigpro.2012.09.027", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", ORCID-numbers = "Alfeld, Matthias/0000-0001-7974-9564; Daubechies, Ingrid/0000-0002-6472-1056; Janssens, Koen/0000-0002-6752-6408", researcherid-numbers = "Alfeld, Matthias/L-6748-2016 Janssens, Koen/B-8049-2011", unique-id = "ISI:000312521400007", } @Article{Charlety:2013:GST, author = "Jean Charlety and Sergey Voronin and Guust Nolet and Ignace Loris and Frederik J. Simons and Karin Sigloch and Ingrid C. Daubechies", title = "Global seismic tomography with sparsity constraints: Comparison with smoothing and damping regularization", journal = j-J-GEOPHYS-RES-SOLID-EARTH, volume = "118", number = "9", pages = "4887--4899", month = sep, year = "2013", DOI = "https://doi.org/10.1002/jgrb.50326", ISSN = "2169-9313 (print), 2169-9356 (electronic)", ISSN-L = "2169-9313", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Geophysical Research. Solid Earth", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)2169-9356", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Sigloch, Karin/0000-0002-9876-4628; Simons, Frederik/0000-0003-2021-6645", researcherid-numbers = "Simons, Frederik/A-3427-2008", unique-id = "ISI:000325553000014", } @Article{Cornelis:2013:BCDa, author = "Bruno Cornelis and Yun Yang and Joshua T. Vogelstein and Ann Dooms and Ingrid Daubechies and David Dunson", title = "{Bayesian} crack detection in ultra high resolution multimodal images of paintings", journal = "arXiv.org", volume = "??", number = "??", pages = "1--8", day = "22", month = apr, year = "2013", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1304.5894", abstract = "The preservation of our cultural heritage is of paramount importance. Thanks to recent developments in digital acquisition techniques, powerful image analysis algorithms are developed which can be useful noninvasive tools to assist in the restoration and preservation of art. In this paper we propose a semi-supervised crack detection method that can be used for high-dimensional acquisitions of paintings coming from different modalities. Our dataset consists of a recently acquired collection of images of the Ghent Altarpiece (1432), one of Northern Europe's most important art masterpieces. Our goal is to build a classifier that is able to discern crack pixels from the background consisting of noncrack pixels, making optimal use of the information that is provided by each modality. To accomplish this we employ a recently developed nonparametric Bayesian classifier, that uses tensor factorizations to characterize any conditional probability. A prior is placed on the parameters of the factorization such that every possible interaction between predictors is allowed while still identifying a sparse subset among these predictors. The proposed Bayesian classifier, which we will refer to as conditional Bayesian tensor factorization or CBTF, is assessed by visually comparing classification results with the Random Forest (RF) algorithm.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "8 pages, double column.", subject = "Computer Vision and Pattern Recognition (cs.CV); Learning (cs.LG)", } @InProceedings{Cornelis:2013:BCDb, author = "Bruno Cornelis and Yun Yang and Joshua T. Vogelstein and Ann Dooms and Ingrid Daubechies and David Dunson", booktitle = "{2013 18th International Conference on Digital Signal Processing (DSP)}", title = "{Bayesian} crack detection in ultra high resolution multimodal images of paintings", volume = "????", number = "", publisher = "????", address = "????", pages = "1--8", month = jul, year = "2013", DOI = "https://doi.org/10.1109/ICDSP.2013.6622710", ISSN = "1546-1874", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "art; art preservation; art restoration; Bayes methods; Bayesian crack detection; CBTF; classification; conditional Bayesian tensor factorization; conditional probability; crack detection; crack pixel; cracks; cultural heritage preservation; digital acquisition technique; Ghent Altarpiece; Gray-scale; high-dimensional acquisition; image analysis algorithm; image resolution; image restoration; noninvasive tool; nonparametric Bayes; nonparametric Bayesian classifier; Painting; paintings; Paints; random forest algorithm; semisupervised crack detection; Tensile stress; tensor factorization; ultrahigh resolution multimodal image; variable selection; Vectors; X-ray imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cornelis:2013:CDI, author = "B. Cornelis and T. Ru{\v{z}}i{\'c} and E. Gezels and A. Dooms and A. Pizurica and L. Plati{\v{s}}a and J. Cornelis and M. Martens and M. {De Mey} and Ingrid Daubechies", title = "Crack detection and inpainting for virtual restoration of paintings: The case of the Ghent Altarpiece", journal = j-SIG-PROC, volume = "93", number = "3, SI", pages = "605--619", month = mar, year = "2013", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/j.sigpro.2012.07.022", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Pizurica, Aleksandra/0000-0002-9322-4999", researcherid-numbers = "Dooms, Ann/B-7867-2008 Pizurica, Aleksandra/K-6866-2015", unique-id = "ISI:000312521400008", } @Article{Lipman:2013:CWD, author = "Yaron Lipman and Jesus Puente and Ingrid Daubechies", title = "Conformal {Wasserstein} distance: {II}. {Computational} aspects and extensions", journal = j-MATH-COMPUT, volume = "82", number = "281", pages = "331--381", month = jan, year = "2013", CODEN = "MCMPAF", DOI = "https://doi.org/10.1090/S0025-5718-2012-02569-5", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", MRclass = "65D18 (68U05); 65D18 53D20 53A05", MRnumber = "2983027", MRreviewer = "Krzysztof Gdawiec", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.ams.org/mcom/2013-82-281; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/mathcomp2010.bib", URL = "http://www.ams.org/journals/mcom/2013-82-281/S0025-5718-2012-02569-5; http://www.ams.org/journals/mcom/2013-82-281/S0025-5718-2012-02569-5/S0025-5718-2012-02569-5.pdf", ZMnumber = "1281.65034", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000326285800015", } @Article{Puente:2013:AAG, author = "Jesus Puente and Douglas M. Boyer and Justin T. Gladman and Ingrid C. Daubechies", title = "Automated approaches to geometric morphometrics", journal = j-AM-J-PHYS-ANTHROPOL, volume = "150", number = "56, SI", pages = "226--226", year = "2013", CODEN = "AJPNA9", ISSN = "0002-9483 (print), 1096-8644 (electronic)", ISSN-L = "0002-9483", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "82nd Annual Meeting of the American-Association-of-Physical-Anthropologists, Knoxville, TN, APR 09-13, 2013", acknowledgement = ack-nhfb, fjournal = "American Journal of Physical Anthropology", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-8644", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000318043202193", } @InProceedings{Wu:2013:PAU, author = "Tong Wu and Gungor Polatkan and David Steel and William Brown and Ingrid Daubechies and Robert Calderbank", booktitle = "{2013 IEEE International Conference on Image Processing}", title = "Painting analysis using wavelets and probabilistic topic models", volume = "????", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3264--3268", month = sep, year = "2013", DOI = "https://doi.org/10.1109/icip.2013.6738672", ISSN = "1522-4880 (print), 2381-8549 (electronic)", ISSN-L = "1522-4880", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Bayes methods; computer-based techniques; dual-tree complex wavelet transform; feature extraction; generative hierarchical Bayesian model; Giotto di Bondone; hidden Markov models; hidden Markov tree model; Hidden Markov Trees; hierarchical clustering; HMT model; image patches; keyword frequencies; keyword stylistic pattern learning; Machine Learning; Painting Analysis; pattern clustering; Peruzzi Altarpiece; probabilistic topic models; probability; stylistic keyword identification; stylistic painting analysis; stylistic pattern learning; subimage style characterization; Topic Models; trees (mathematics); unsupervised learning; unsupervised probabilistic topic models; wavelet transforms; Wavelet Transforms", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Bourguignon:2014:WSS, author = "Jean-Pierre Bourguignon and Ingrid Daubechies and Myung-Hwan Kim and Youngah Park", booktitle = "Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. I: Plenary lectures and ceremonies", title = "Why {STEM} (science, technology, engineering and mathematics)?", publisher = "Kyung Moon Sa", address = "Seoul, South Korea", pages = "787--797", year = "2014", ISBN = "89-6105-804-5 (hardcover); 89-6105-803-7 (set)", ISBN-13 = "978-89-6105-804-9 (hardcover); 978-89-6105-803-2 (set)", MRclass = "01A80 00A35", MRnumber = "3728508", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1373.01031", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Clemens:2014:NIN, author = "Herbert Clemens and Ingrid Daubechies and Carol Wood", title = "The new {IMU} needs you!", journal = j-NAMS, volume = "61", number = "6", pages = "632--534", year = "2014", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "01A80", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1338.01082", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Jacques:2014:PSI, author = "L. Jacques and C. {De Vleeschouwer} and Y. Boursier and P. Sudhakar and C. {De Mol} and A. Pizurica and S. Anthoine and P. Vandergheynst and P. Frossard and C. Bilen and S. Kitic and N. Bertin and R. Gribonval and N. Boumal and B. Mishra and P.-A. Absil and R. Sepulchre and S. Bundervoet and C. Schretter and A. Dooms and P. Schelkens and O. Chabiron and F. Malgouyres and J.-Y. Tourneret and N. Dobigeon and P. Chainais and C. Richard and B. Cornelis and I. Daubechies and D. Dunson and M. Dankova and P. Rajmic and K. Degraux and V. Cambareri and B. Geelen and G. Lafruit and G. Setti and J.-F. Determe and J. Louveaux and F. Horlin and A. Dr{\'e}meau and P. Heas and C. Herzet and V. Duval and G. Peyr{\'e} and A. Fawzi and M. Davies and N. Gillis and S. A. Vavasis and C. Soussen and L. Le Magoarou and J. Liang and J. Fadili and A. Liutkus and D. Martina and S. Gigan and L. Daudet and M. Maggioni and S. Minsker and N. Strawn and C. Mory and F. Ngole and J.-L. Starck and Ignace Loris and S. Vaiter and others", title = "Proceedings of the Second International Traveling Workshop on Interactions between Sparse models and Technology {(iTWIST'14)}", journal = "arXiv.org", volume = "??", number = "??", pages = "1--69", day = "2", month = oct, year = "2014", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1410.0719", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "69 pages, 24 extended abstracts, iTWIST'14 website: this http URL.", subject = "Numerical Analysis (cs.NA); Computer Vision and Pattern Recognition (cs.CV); Information Theory (cs.IT); Learning (cs.LG); Optimization and Control (math.OC); Statistics Theory (math.ST)", } @Article{Wu:2014:EPD, author = "Hau-Tieng Wu and Shu-Shua Hseu and Mauo-Ying Bien and Yu Ru Kou and Ingrid Daubechies", title = "Evaluating Physiological Dynamics via Synchrosqueezing: Prediction of Ventilator Weaning", journal = j-IEEE-TRANS-BIOMED-ENG, volume = "61", number = "3", pages = "736--744", month = mar, year = "2014", CODEN = "IEBEAX", DOI = "https://doi.org/10.1109/TBME.2013.2288497", ISSN = "0018-9294 (print), 1558-2531 (electronic)", ISSN-L = "0018-9294", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Biomedical Engineering", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=10", keywords = "amplitude modulation; Amplitude modulation; biological signal; biomedical equipment; breath-breath variability; data acquisition; electrocardiography; Electrocardiography; Frequency modulation; Heart Rate; Heart rate variability (HRV); hidden dynamics; high predictive power; Humans; Indexes; inevitable noise; instantaneous frequency; medical signal processing; Models, Biological; Noise; Oscillators; oscillatory components; oscillatory pattern shape; oscillatory phenomena; physiological dynamics; Physiology; pneumodynamics; predictive power; Reproducibility of Results; Respiration; respiratory rate variability (RRV); robust time-frequency analysis tool; ROC area under curve; ROC Curve; sensitivity analysis; Signal Processing, Computer-Assisted; synchrosqueezing transform; time 20 min; time 3 min; Time-frequency analysis; time-frequency analysis; traditional respiration parameters; ventilation weaning prediction; Ventilator Weaning; ventilator weaning prediction", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Kou, Yu Ru/0000-0002-4681-9009; Wu, Hau-Tieng/0000-0002-0253-3156", unique-id = "ISI:000333273000012", } @Article{Wu:2014:PAU, author = "Tong Wu and Gungor Polatkan and David Steel and William Brown and Ingrid Daubechies and Robert Calderbank", title = "Painting Analysis Using Wavelets and Probabilistic Topic Models", journal = "arXiv.org", volume = "??", number = "??", pages = "1--5", day = "26", month = jan, year = "2014", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1401.6638", abstract = "In this paper, computer-based techniques for stylistic analysis of paintings are applied to the five panels of the 14th century Peruzzi Altarpiece by Giotto di Bondone. Features are extracted by combining a dual-tree complex wavelet transform with a hidden Markov tree (HMT) model. Hierarchical clustering is used to identify stylistic keywords in image patches, and keyword frequencies are calculated for sub-images that each contains many patches. A generative hierarchical Bayesian model learns stylistic patterns of keywords; these patterns are then used to characterize the styles of the sub-images; this in turn, permits to discriminate between paintings. Results suggest that such unsupervised probabilistic topic models can be useful to distill characteristic elements of style.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "5 pages, 4 figures, ICIP 2013.", subject = "Computer Vision and Pattern Recognition (cs.CV); Learning (cs.LG); Machine Learning (stat.ML)", } @InProceedings{Yin:2014:DCR, author = "Rujie Yin and David B. Dunson and Bruno Cornelis and Bill Brown and Noelle Ocon and Ingrid Daubechies", booktitle = "{2014 IEEE International Conference on Image Processing (ICIP)}", title = "Digital cradle removal in {X}-ray images of art paintings", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "4299--4303", month = oct, year = "2014", DOI = "https://doi.org/10.1109/ICIP.2014.7025873", ISBN = "1-4799-5751-8", ISBN-13 = "978-1-4799-5751-4", ISSN = "1522-4880 (print), 2381-8549 (electronic)", ISSN-L = "1522-4880", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "art; Art; art; art paintings; cradle; cradling effect; Dictionaries; digital cradle removal; image component; image separation; image texture; Integrated circuits; learning (artificial intelligence); Painting; painting; textural component; texture; texture learning; Transforms; Vectors; wooden panels; X-ray images; X-ray imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Boyer:2015:NFA, author = "Doug M. Boyer and Jesus Puente and Justin T. Gladman and Chris Glynn and Sayan Mukherjee and Gabriel S. Yapuncich and Ingrid Daubechies", title = "A New Fully Automated Approach for Aligning and Comparing Shapes", journal = "The Anatomical Record --- Advances in Integrative Anatomy and Evolutionary Biology", volume = "298", number = "1(SI)", pages = "249--276", month = jan, year = "2015", DOI = "https://doi.org/10.1002/ar.23084", ISSN = "1932-8486 (print), 1932-8494 (electronic)", ISSN-L = "1932-8486", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000346730500016", } @Article{Daubechies:2015:AHA, author = "Ingrid Daubechies and Gitta Kutyniok and Holger Rauhut and Thomas Strohmer", title = "Applied harmonic analysis and sparse approximation. {Abstracts} from the workshop held {August 16--22, 2015}", journal = "Oberwolfach Reports", volume = "12", number = "3", pages = "2189--2263", year = "2015", DOI = "https://doi.org/10.4171/OWR/2015/38", ISSN = "1660-8933 (print), 1660-8941 (electronic)", ISSN-L = "1660-8933", MRclass = "00B05 00B25 65Txx 65K05 15B52 94-06 65-06 42-06 42Bxx 42Cxx 94A08 94A11 94A12 94A20", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Oberwolfach Reports", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2015:CCF, author = "Ingrid Daubechies and Yi Wang and Hau-tieng Wu", title = "{ConceFT}: Concentration of Frequency and Time via a multitapered synchrosqueezed transform", journal = "arXiv.org", volume = "??", number = "??", pages = "1--44", day = "20", month = jul, year = "2015", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1507.05366", abstract = "A new method is proposed to determine the time-frequency content of time-dependent signals consisting of multiple oscillatory components, with time-varying amplitudes and instantaneous frequencies. Numerical experiments as well as a theoretical analysis are presented to assess its effectiveness.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Statistics Theory (math.ST); Numerical Analysis (cs.NA); Applications (stat.AP); Methodology (stat.ME)", } @Article{Daubechies:2015:DADa, author = "Ingrid Daubechies and Rayan Saab", title = "A Deterministic Analysis of Decimation for Sigma--Delta Quantization of Bandlimited Functions", journal = "arXiv.org", volume = "??", number = "??", pages = "1--9", day = "30", month = may, year = "2015", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1506.00179", abstract = "We study Sigma--Delta ($ \Sigma \Delta $) quantization of oversampled bandlimited functions. We prove that digitally integrating blocks of bits and then down-sampling, a process known as decimation, can efficiently encode the associated $ \Sigma \Delta $ bit-stream. It allows a large reduction in the bit-rate while still permitting good approximation of the underlying bandlimited function via an appropriate reconstruction kernel. Specifically, in the case of stable rth order $ \Sigma \Delta $ schemes we show that the reconstruction error decays exponentially in the bit-rate. For example, this result applies to the 1-bit, greedy, first-order $ \Sigma \Delta $ scheme.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Information Theory (cs.IT)", } @Article{Daubechies:2015:DADb, author = "Ingrid Daubechies and Rayan Saab", title = "A Deterministic Analysis of Decimation for Sigma--Delta Quantization of Bandlimited Functions", journal = j-IEEE-SIGNAL-PROCESS-LETT, volume = "22", number = "11", pages = "2093--2096", month = nov, year = "2015", CODEN = "ISPLEM", DOI = "https://doi.org/10.1109/LSP.2015.2459758", ISSN = "1070-9908 (print), 1558-2361 (electronic)", ISSN-L = "1070-9908", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Letters", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97", keywords = "Approximation methods; Bandlimited functions; bandlimited signals; bit-rate reduction; decimation; decimation deterministic analysis; digitally integrating block; down-sampling; Encoding; encoding; exponentially decay; Fourier transforms; Kernel; oversampled bandlimited function; quantisation (signal); quantization; Quantization (signal); rate-distortion; reconstruction error; reconstruction kernel; Robustness; Sigma--Delta; sigma--delta modulation; Sigma--Delta modulation; sigma--delta quantization; signal reconstruction; signal sampling; {$\Sigma \Delta$} bit-stream; {$\Sigma \Delta$} quantization", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000359207300001", } @InCollection{Daubechies:2015:OAPa, author = "Ingrid Daubechies", booktitle = "{The Proceedings of the 12th International Congress on Mathematical Education}", title = "Opening Address: President of {IMU}", publisher = "Springer International Publishing", address = "????", pages = "3--4", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-12688-3_1", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Pizurica:2015:DIP, author = "Aleksandra Pizurica and Ljiljana Plati{\v{s}}a and Tijana Ru{\v{z}}i{\'c} and Bruno Cornelis and Ann Dooms and Maximiliaan Martens and Helene Dubois and Bart Devolder and Marc {De Mey} and Ingrid Daubechies", title = "Digital Image Processing of The Ghent Altarpiece: Supporting the painting's study and conservation treatment", journal = j-IEEE-SIGNAL-PROCESS-MAG, volume = "32", number = "4", pages = "112--122", month = jul, year = "2015", CODEN = "ISPRE6", DOI = "https://doi.org/10.1109/MSP.2015.2411753", ISSN = "1053-5888 (print), 1558-0792 (electronic)", ISSN-L = "1053-5888", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Magazine", keywords = "Adoration of the Mystic Lamb; Altaussee salt mines; art; Art; art history; Belgium; digital image processing; Digital images; Filter banks; history; image restoration; Image restoration; Nazi; Painting; painting conservation treatment; painting study; restoration treatments; Saint Bavo Cathedral; The Ghent Altarpiece; U.S. Army", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Martens, Maximiliaan/0000-0002-0533-2106; Pizurica, Aleksandra/0000-0002-9322-4999", researcherid-numbers = "Pizurica, Aleksandra/K-6866-2015 Martens, Maximiliaan/Q-5814-2016", unique-id = "ISI:000356539400015", } @Article{Polatkan:2015:BNA, author = "Guengoer Polatkan and Mingyuan Zhou and Lawrence Carin and David Blei and Ingrid Daubechies", title = "A {Bayesian} Nonparametric Approach to Image Super-Resolution", journal = j-IEEE-TRANS-PATT-ANAL-MACH-INTEL, volume = "37", number = "2", pages = "346--358", month = feb, year = "2015", CODEN = "ITPIDJ", DOI = "https://doi.org/10.1109/TPAMI.2014.2321404", ISSN = "0162-8828", ISSN-L = "0162-8828", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Pattern Analysis and Machine Intelligence", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=34", keywords = "0; Bayes methods; Bayesian nonparametrics; Data models; Dictionaries; dictionary learning; factor analysis; gibbs sampling; Image resolution; image super-resolution; Inference algorithms; Signal resolution; stochastic optimization; Training; variational inference", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000349625500011", } @Article{Voronin:2015:IRL, author = "Sergey Voronin and Ingrid Daubechies", title = "An Iteratively Reweighted Least Squares Algorithm for Sparse Regularization", journal = "arXiv.org", volume = "??", number = "??", pages = "1--17", day = "29", month = nov, year = "2015", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1511.08970", abstract = "We present a new algorithm and the corresponding convergence analysis for the regularization of linear inverse problems with sparsity constraints, applied to a new generalized sparsity promoting functional. The algorithm is based on the idea of iteratively reweighted least squares, reducing the minimization at every iteration step to that of a functional including only $ \ell_2$-norms. This amounts to smoothing of the absolute value function that appears in the generalized sparsity promoting penalty we consider, with the smoothing becoming iteratively less pronounced. We demonstrate that the sequence of iterates of our algorithm converges to a limit that minimizes the original functional.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Numerical Analysis (math.NA)", } @Article{Wang:2015:AWD, author = "Yi (Grace) Wang and Hau-Tieng Wu and Ingrid Daubechies and Yabing Li and E. Harvey Estes and Elsayed Z. Soliman", title = "Automated {$J$} Wave Detection from Digital 12-lead Electrocardiogram", journal = j-J-ELECTROCARDIOL, volume = "48", number = "1", pages = "21--28", month = jan # "--" # feb, year = "2015", CODEN = "JECAB4", DOI = "https://doi.org/10.1016/j.jelectrocard.2014.10.006", ISSN = "0022-0736 (print), 1532-8430 (electronic)", ISSN-L = "0022-0736", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of electrocardiology", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Wu, Hau-Tieng/0000-0002-0253-3156", unique-id = "ISI:000348249100006", } @Article{Yang:2015:QCW, author = "Haizhao Yang and Jianfeng Lu and William P. Brown and Ingrid Daubechies and Lexing Ying", title = "Quantitative Canvas Weave Analysis Using {$2$-D} Synchrosqueezed Transforms: Application of time-frequency analysis to art investigation", journal = j-IEEE-SIGNAL-PROCESS-MAG, volume = "32", number = "4", pages = "55--63", month = jul, year = "2015", CODEN = "ISPRE6", DOI = "https://doi.org/10.1109/MSP.2015.2406882", ISSN = "1053-5888 (print), 1558-0792 (electronic)", ISSN-L = "1053-5888", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Magazine", keywords = "2D synchrosqueezed transforms; art; Art; art investigation; canvas rollmate identification; computer vision; computer-assisted canvas weave analysis tools; dating; digital forensics; forensics; horizontal weave threads; Information analysis; overall canvas weave density estimation; Painting; painting canvas; Pattern analysis; priming agent; Quantitative analysis; quantitative canvas weave analysis; radiography; signal processing techniques; thread angles; time-frequency analysis; Time-frequency analysis; transforms; vertical weave threads; weave pattern variation; Weaving; X-radiographs; X-ray absorption; X-ray applications; X-ray images; X-ray imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Lu, Jianfeng/0000-0001-6255-5165", researcherid-numbers = "Yang, Haizhao/Q-6524-2016", unique-id = "ISI:000356539400009", } @Article{Alaifari:2016:RRV, author = "Rima Alaifari and Ingrid Daubechies and Philipp Grohs and Gaurav Thakur", title = "Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames", journal = "arXiv.org", volume = "??", number = "??", pages = "1--14", day = "27", month = jun, year = "2016", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1601.07579", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "minor updates in the references.", subject = "Functional Analysis (math.FA)", } @Article{Alaifari:2016:SPR, author = "Rima Alaifari and Ingrid Daubechies and Philipp Grohs and Rujie Yin", title = "Stable Phase Retrieval in Infinite Dimensions", journal = "arXiv.org", volume = "??", number = "??", pages = "1--27", day = "31", month = aug, year = "2016", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1609.00034", abstract = "The problem of phase retrieval is to determine a signal $ f \in H $, with $H$ a Hilbert space, from intensity measurements $ |F(\omega)|$, where $ F(\omega) := \lt f, \phi \omega \gt $ are measurements of $f$ with respect to a measurement system $ (\phi \omega) \omega \in \Omega \subset H$. Although phase retrieval is always stable in the finite dimensional setting whenever it is possible (i.e. injectivity implies stability for the inverse problem), the situation is drastically different if H is infinite-dimensional: in that case phase retrieval is never uniformly stable [8, 4]; moreover the stability deteriorates severely in the dimension of the problem [8]. On the other hand, all empirically observed instabilities are of a certain type: they occur whenever the function $ |F|$ of intensity measurements is concentrated on disjoint sets $ D_j \subset \Omega $, i.e., when $ F = \sum^k_{j = 1}F_j$ where each $ F_j$ is concentrated on $ D_j$ (and $ k \geq 2$). Motivated by these considerations we propose a new paradigm for stable phase retrieval by considering the problem of reconstructing $F$ up to a phase factor that is not global, but that can be different for each of the subsets $ D_j$, i.e., recovering $F$ up to the equivalence $$ F \sim \sum_{j = 1}^k e^{i \alpha_j} F_j $$. We present concrete applications (for example in audio processing) where this new notion of stability is natural and meaningful and show that in this setting stable phase retrieval can actually be achieved, for instance if the measurement system is a Gabor frame or a frame of Cauchy wavelets.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Functional Analysis (math.FA)", } @Article{Cahill:2016:PRIa, author = "Jameson Cahill and Peter G. Casazza and Ingrid Daubechies", title = "Phase retrieval in infinite-dimensional {Hilbert} spaces", journal = "arXiv.org", volume = "??", number = "??", pages = "1--16", day = "24", month = jun, year = "2016", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1601.06411", abstract = "The main result of this paper states that phase retrieval in infinite-dimensional Hilbert spaces is never uniformly stable, in sharp contrast to the finite dimensional setting in which phase retrieval is always stable. This leads us to derive stability results for signals depending on how well they are approximated by finite expansions.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Functional Analysis (math.FA)", } @Article{Cahill:2016:PRIb, author = "Jameson Cahill and Peter G. Casazza and Ingrid Daubechies", title = "Phase retrieval in infinite-dimensional {Hilbert} spaces", journal = "Transactions of the American Mathematical Society. Series B", volume = "3", pages = "63--76", year = "2016", DOI = "https://doi.org/10.1090/btran/12", ISSN = "2330-0000 (electronic)", MRclass = "46C05 (94A15); 46C05 42C15 94A15", MRnumber = "3554699", MRreviewer = "Peter R. Massopust", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "Trans. Amer. Math. Soc. Ser. B", fjournal = "Transactions of the American Mathematical Society. Series B", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Daubechies:2016:CCF, author = "Ingrid Daubechies and Yi (Grace) Wang and Hau-tieng Wu", title = "{ConceFT}: concentration of frequency and time via a multitapered synchrosqueezed transform", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "374", number = "2065", pages = "20150193", day = "13", month = apr, year = "2016", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.2015.0193", ISSN = "1364-503X (print), 1471-2962 (electronic)", ISSN-L = "1364-503X", MRclass = "42C40 (62M09 65T50)", MRnumber = "3479895", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1353.42031", acknowledgement = ack-nhfb, ajournal = "Philos. Trans. Roy. Soc. A", article-number = "20150193", fjournal = "Philosophical Transactions of the Royal Society A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Wu, Hau-Tieng/0000-0002-0253-3156", pagecount = "19", unique-id = "ISI:000372553500002", } @Article{Daubechies:2016:SER, author = "Ingrid Daubechies and Michel Defrise and Christine {De Mol}", title = "Sparsity-enforcing regularisation and {ISTA} revisited", journal = j-INVERSE-PROBLEMS, volume = "32", number = "10", pages = "104001, 15", month = oct, year = "2016", CODEN = "INPEEY", DOI = "https://doi.org/10.1088/0266-5611/32/10/104001", ISSN = "0266-5611 (print), 1361-6420 (electronic)", ISSN-L = "0266-5611", MRclass = "65J22", MRnumber = "3627017", MRreviewer = "Dirk A. Lorenz", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, article-number = "104001", fjournal = "Inverse Problems. An International Journal on the Theory and Practice of Inverse Problems, Inverse Methods and Computerized Inversion of Data", journal-URL = "http://iopscience.iop.org/0266-5611/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000402974200001", } @Article{Daubechies:2016:UMR, author = "Ingrid Daubechies", title = "Using Mathematics to Repair a Masterpiece: the author shows how new mathematical techniques can be used to revitalize a 650-year-old work of art", journal = "Quanta Magazine", volume = "??", number = "??", pages = "??--??", day = "29", month = sep, year = "2016", bibdate = "Sat Mar 10 17:07:52 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://www.quantamagazine.org/using-mathematics-to-repair-a-masterpiece-20160929", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Deligiannis:2016:MMD, author = "Nikos Deligiannis and Joao F. C. Mota and Bruno Cornelis and Miguel R. D. Rodrigues and Ingrid Daubechies", title = "Multi-modal dictionary learning for image separation with application in art investigation", journal = "arXiv.org", volume = "??", number = "??", pages = "1--13", day = "14", month = jul, year = "2016", CODEN = "????", DOI = "https://doi.org/10.1109/TIP.2016.2623484", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1607.04147", abstract = "In support of art investigation, we propose a new source separation method that unmixes a single X-ray scan acquired from double-sided paintings. In this problem, the X-ray signals to be separated have similar morphological characteristics, which brings previous source separation methods to their limits. Our solution is to use photographs taken from the front and back-side of the panel to drive the separation process. The crux of our approach relies on the coupling of the two imaging modalities (photographs and X-rays) using a novel coupled dictionary learning framework able to capture both common and disparate features across the modalities using parsimonious representations; the common component models features shared by the multi-modal images, whereas the innovation component captures modality-specific information. As such, our model enables the formulation of appropriately regularized convex optimization procedures that lead to the accurate separation of the X-rays. Our dictionary learning framework can be tailored both to a single- and a multi-scale framework, with the latter leading to a significant performance improvement. Moreover, to improve further on the visual quality of the separated images, we propose to train coupled dictionaries that ignore certain parts of the painting corresponding to craquelure. Experimentation on synthetic and real data --- taken from digital acquisition of the Ghent Altarpiece (1432) --- confirms the superiority of our method against the state-of-the-art morphological component analysis technique that uses either fixed or trained dictionaries to perform image separation.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "submitted to IEEE Transactions on Images Processing.", subject = "Computer Vision and Pattern Recognition (cs.CV)", } @Article{Deligiannis:2016:XRIa, author = "Nikos Deligiannis and Jo{\~a}o F. C. Mota and Bruno Cornelis and Miguel R. D. Rodrigues and Ingrid Daubechies", title = "{X}-ray image separation via coupled dictionary learning", journal = "arXiv.org", volume = "??", number = "??", pages = "1--6", day = "20", month = may, year = "2016", CODEN = "????", DOI = "https://doi.org/10.1109/ICIP.2016.7533017", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1605.06474", abstract = "In support of art investigation, we propose a new source separation method that unmixes a single X-ray scan acquired from double-sided paintings. Unlike prior source separation methods, which are based on statistical or structural incoherence of the sources, we use visual images taken from the front- and back-side of the panel to drive the separation process. The coupling of the two imaging modalities is achieved via a new multi-scale dictionary learning method. Experimental results demonstrate that our method succeeds in the discrimination of the sources, while state-of-the-art methods fail to do so.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "To be presented at the IEEE International Conference on Image Processing (ICIP), 2016.", subject = "Computer Vision and Pattern Recognition (cs.CV)", } @InProceedings{Deligiannis:2016:XRIb, author = "N. Deligiannis and J. F. C. Mota and B. Cornelis and M. R. D. Rodrigues and Ingrid Daubechies", booktitle = "{2016 IEEE International Conference on Image Processing (ICIP)}", title = "{X}-ray image separation via coupled dictionary learning", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "3533--3537", month = sep, year = "2016", DOI = "https://doi.org/10.1109/ICIP.2016.7533017", ISBN = "1-4673-9961-2", ISBN-13 = "978-1-4673-9961-6", ISSN = "1522-4880 (print), 2381-8549 (electronic)", ISSN-L = "1522-4880", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Art; coupled dictionary learning; Dictionaries; dictionary learning; double-sided paintings; image decomposition; image processing; Image separation; imaging modalities; learning (artificial intelligence); Matching pursuit algorithms; multi-modal imaging; multiscale dictionary learning method; Painting; side information; Source separation; source separation; source separation method; statistical analysis; statistical incoherence; structural incoherence; visual images; Visualization; X-ray image separation; X-ray imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Huang:2016:ADA, author = "Norden E. Huang and Ingrid Daubechies and Thomas Y. Hou", title = "Adaptive data analysis: theory and applications", journal = j-PHILOS-TRANS-R-SOC-LOND-SER-A, volume = "374", number = "2065", pages = "20150207", day = "13", month = apr, year = "2016", CODEN = "PTRMAD, PTMSFB", DOI = "https://doi.org/10.1098/rsta.2015.0207", ISSN = "1364-503X (print), 1471-2962 (electronic)", ISSN-L = "1364-503X", MRclass = "94-06 (62-06) 00B15 62-06 94-06", MRnumber = "3479893", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1354.00073", acknowledgement = ack-nhfb, ajournal = "Philos. Trans. Roy. Soc. A", article-number = "20150207", fjournal = "Philosophical Transactions of the Royal Society A. Mathematical, Physical and Engineering Sciences", journal-URL = "http://rsta.royalsocietypublishing.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "3", unique-id = "ISI:000372553500013", } @Article{ONeal:2016:EJW, author = "Wesley T. O'Neal and Yi (Grace) Wang and Hau-Tieng Wu and Zhu-Ming Zhang and Yabing Li and Larisa G. Tereshchenko and E. Harvey Estes and Ingrid Daubechies and Elsayed Z. Soliman", title = "Electrocardiographic {J} Wave and Cardiovascular Outcomes in the General Population (from the. {Atherosclerosis Risk In Communities Study})", journal = j-AM-J-CARDIOL, volume = "118", number = "6", pages = "811--815", day = "15", month = sep, year = "2016", CODEN = "AJCDAG", DOI = "https://doi.org/10.1016/j.amjcard.2016.06.047", ISSN = "0002-9149 (print), 1879-1913 (electronic)", ISSN-L = "0002-9149", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "American journal of cardiology", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Tereshchenko, Larisa/0000-0002-6976-1313; Wu, Hau-Tieng/0000-0002-0253-3156", unique-id = "ISI:000385053300006", } @Article{Wu:2016:OEI, author = "Hau-Tieng Wu and Gregory F. Lewis and Maria I. Davila and Ingrid Daubechies and Stephen W. Porges", title = "Optimizing Estimates of Instantaneous Heart Rate from Pulse Wave Signals with the Synchrosqueezing Transform", journal = j-METH-INFO-MED, volume = "55", number = "5", pages = "463--472", year = "2016", CODEN = "MIMCAI", DOI = "https://doi.org/10.3414/ME16-01-0026", ISSN = "0026-1270", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Methods of Information in Medicine = Methodik der Information in der Medizin", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Wu, Hau-Tieng/0000-0002-0253-3156", unique-id = "ISI:000385899000009", } @Article{Xu:2016:RDB, author = "Jieren Xu and Haizhao Yang and Ingrid Daubechies", title = "Recursive Diffeomorphism-Based Regression for Shape Functions", journal = "arXiv.org", volume = "??", number = "??", pages = "1--31", day = "12", month = oct, year = "2016", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1610.03819", abstract = "This paper proposes a recursive diffeomorphism based regression method for one-dimensional generalized mode decomposition problem that aims at extracting generalized modes $ \alpha k(t) s_k (2 \pi N k \phi k(t)) $ from their superposition $ \sum^K_{k = 1} \alphak (t) s_k (2 \pi N k \phi k(t)) $. First, a one-dimensional synchrosqueezed transform is applied to estimate instantaneous information, e.g., $ \alpha k(t) $ and $ N k \phi k(t) $. Second, a novel approach based on diffeomorphisms and nonparametric regression is proposed to estimate wave shape functions $ s_k(t) $. These two methods lead to a framework for the generalized mode decomposition problem under a weak well-separation condition. Numerical examples of synthetic and real data are provided to demonstrate the fruitful applications of these methods.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV); Statistics Theory (math.ST)", } @Article{Yin:2016:DWB, author = "Rujie Yin and Ingrid Daubechies", title = "Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling", journal = "arXiv.org", volume = "??", number = "??", pages = "1--36", day = "17", month = feb, year = "2016", CODEN = "????", DOI = "https://doi.org/10.1007/s00041-017-9540-z", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1602.05469", abstract = "We construct directional wavelet systems that will enable building efficient signal representation schemes with good direction selectivity. In particular, we focus on wavelet bases with dyadic quincunx subsampling. In our previous work, We show that the supports of orthonormal wavelets in our framework are discontinuous in the frequency domain, yet this irregularity constraint can be avoided in frames, even with redundancy factor less than 2. In this paper, we focus on the extension of orthonormal wavelets to biorthogonal wavelets and show that the same obstruction of regularity as in orthonormal schemes exists in biorthogonal schemes. In addition, we provide a numerical algorithm for biorthogonal wavelets construction where the dual wavelets can be optimized, though at the cost of deteriorating the primal wavelets due to the intrinsic irregularity of biorthogonal schemes.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Functional Analysis (math.FA)", } @InProceedings{Yin:2016:ORA, author = "R. Yin and E. Monson and E. Honig and Ingrid Daubechies and M. Maggioni", booktitle = "{2016 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)}", title = "Object recognition in art drawings: Transfer of a neural network", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "2299--2303", month = mar, year = "2016", DOI = "https://doi.org/10.1109/ICASSP.2016.7472087", ISBN = "1-4799-9988-1", ISBN-13 = "978-1-4799-9988-0", ISSN = "1520-6149 (print), 2379-190X (electronic)", ISSN-L = "1520-6149", LCCN = "????", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "art; Art; art drawings; CNN; convolution; convolutional neural network; Feature extraction; high-level classification output; Image recognition; Jan Brueghel Wiki; labelled natural images; low-level features detection; neural nets; neural network; Neural networks; object recognition; Object recognition; object recognition; Robustness; signal processing; standard descriptor-based methods; Training; transfer learning", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Yin:2016:RCA, author = "Rujie Yin and Bruno Cornelis and Gabor Fodor and Noelle Ocon and David Dunson and Ingrid Daubechies", title = "Removing Cradle Artifacts in {X}-Ray Images of Paintings", journal = j-SIAM-J-IMAGING-SCI, volume = "9", number = "3", pages = "1247--1272", month = "????", year = "2016", CODEN = "SJISBI", DOI = "https://doi.org/10.1137/15M1053554", ISSN = "1936-4954", ISSN-L = "1936-4954", MRclass = "94A08 (68U10); 94A08 68U10 00A66", MRnumber = "3541996", MRreviewer = "Krzysztof Gdawiec", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/SIIMS/siims_toc.html; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjimagingsci.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Imaging Sciences", journal-URL = "http://epubs.siam.org/siims", onlinedate = "January 2016", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000385277200015", } @Article{Yin:2016:TTB, author = "Rujie Yin and Tingran Gao and Yue M. Lu and Ingrid Daubechies", title = "A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets", journal = "arXiv.org", volume = "??", number = "??", pages = "1--51", day = "4", month = jun, year = "2016", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1606.01377", abstract = "We propose an image representation scheme combining the local and nonlocal characterization of patches in an image. Our representation scheme can be shown to be equivalent to a tight frame constructed from convolving local bases (e.g. wavelet frames, discrete cosine transforms, etc.) with nonlocal bases (e.g. spectral basis induced by nonlinear dimension reduction on patches), and we call the resulting frame elements {\it convolution framelets}. Insight gained from analyzing the proposed representation leads to a novel interpretation of a recent high-performance patch-based image inpainting algorithm using Point Integral Method (PIM) and Low Dimension Manifold Model (LDMM) [Osher, Shi and Zhu, 2016]. In particular, we show that LDMM is a weighted $ \ell_2$-regularization on the coefficients obtained by decomposing images into linear combinations of convolution framelets; based on this understanding, we extend the original LDMM to a reweighted version that yields further improved inpainting results. In addition, we establish the energy concentration property of convolution framelet coefficients for the setting where the local basis is constructed from a given nonlocal basis via a linear reconstruction framework; a generalization of this framework to unions of local embeddings can provide a natural setting for interpreting BM3D, one of the state-of-the-art image denoising algorithms.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Computer Vision and Pattern Recognition (cs.CV)", } @Article{Alaifari:2017:RRV, author = "Rima Alaifari and Ingrid Daubechies and Philipp Grohs and Gaurav Thakur", title = "Reconstructing Real-Valued Functions from Unsigned Coefficients with Respect to Wavelet and Other Frames", journal = j-FOURIER-ANAL-APPL, volume = "23", number = "6", pages = "1480--1494", month = dec, year = "2017", DOI = "https://doi.org/10.1007/s00041-016-9513-7", ISSN = "1069-5869 (print), 1531-5851 (electronic)", MRclass = "42C15 49N45 94A12 94A20; 42C15 (49N45 94A12 94A20)", MRnumber = "3735589", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "The Journal of Fourier Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000415364100008", } @Article{Cornelis:2017:RCP, author = "Bruno Cornelis and Haizhao Yang and Alex Goodfriend and Noelle Ocon and Jianfeng Lu and Ingrid Daubechies", title = "Removal of Canvas Patterns in Digital Acquisitions of Paintings", journal = j-IEEE-TRANS-IMAGE-PROCESS, volume = "26", number = "1", pages = "160--171", month = jan, year = "2017", CODEN = "IIPRE4", DOI = "https://doi.org/10.1109/TIP.2016.2621413", ISSN = "1057-7149 (print), 1941-0042 (electronic)", ISSN-L = "1057-7149", MRclass = "94A08", MRnumber = "3579347", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Image Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83", keywords = "adaptive multiscale thresholding; art; Art; art conservation; art experts; art history; canvas artifacts; canvas patterns removal; canvas removal; cartoon-texture decomposition method; computer graphics; computer-aided canvas removal; denoising; Dictionaries; digital painting acquisitions; Digital painting analysis; frequency domain; Frequency-domain analysis; high-resolution digital photographs; history; image resolution; Image restoration; image segmentation; image texture; imaging modalities; morphological component analysis; Painting; Paints; periodic noise; restoration campaign; source separation; visual photographs; Wiener filtering; Wiener filters; X-ray images; X-ray imaging", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000402822500012", } @Article{Deligiannis:2017:MMD, author = "Nikos Deligiannis and Jo{\~a}o F. C. Mota and Bruno Cornelis and Miguel R. D. Rodrigues and Ingrid Daubechies", title = "Multi-Modal Dictionary Learning for Image Separation With Application in Art Investigation", journal = j-IEEE-TRANS-IMAGE-PROCESS, volume = "26", number = "2", pages = "751--764", month = feb, year = "2017", CODEN = "IIPRE4", DOI = "https://doi.org/10.1109/TIP.2016.2623484", ISSN = "1057-7149 (print), 1941-0042 (electronic)", ISSN-L = "1057-7149", MRclass = "94A08", MRnumber = "3604821", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "23rd IEEE International Conference on Image Processing (ICIP), Phoenix, AZ, SEP 25-28, 2016", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Image Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=83", keywords = "art; Art; art investigation; convex programming; coupled dictionary learning; Dictionaries; digital acquisition; double-sided paintings; fixed dictionaries; Ghent Altarpiece; image processing; image separation; Imaging; imaging modalities; learning (artificial intelligence); modality-specific information; morphological component analysis technique; multi-modal data analysis; multi-scale image decomposition; multimodal dictionary learning; multiscale framework; Painting; parsimonious representations; performance improvement; photographs; regularized convex optimization procedures; source separation; Source separation; source separation method; trained dictionaries; Visualization; X-ray imaging; X-ray signals", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056; Deligiannis, Nikos/0000-0001-9300-5860; Mota, Joao F. C./0000-0001-7263-8255", unique-id = "ISI:000404773100012", } @Article{Fodor:2017:CRX, author = "G{\'a}bor Fodor and Bruno Cornelis and Rujie Yin and Ann Dooms and Ingrid Daubechies", title = "Cradle removal in {X}-ray images of panel paintings", journal = "IPOL Journal. Image Processing Online", volume = "7", pages = "23--42", year = "2017", DOI = "https://doi.org/10.5201/ipol.2017.174", ISSN = "2105-1232", ISSN-L = "2105-1232", MRclass = "94A08", MRnumber = "3608123", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "IPOL J. Image Process. Online", fjournal = "IPOL Journal. Image Processing Online", journal-URL = "http://www.ipol.im/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000419393100002", } @Article{Fulwood:2017:ASM, author = "Ethan Lucas. Fulwood and Tingran Gao and Ingrid Daubechies and Doug M. Boyer", title = "Automatic segmentation of morphological structure into biologically corresponding features: implications for systematics and ecomorphology", journal = j-AM-J-PHYS-ANTHROPOL, volume = "162", number = "64", pages = "188", month = apr, year = "2017", CODEN = "AJPNA9", ISSN = "0002-9483 (print), 1096-8644 (electronic)", ISSN-L = "0002-9483", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "86th Annual Meeting of the American Association of Physical Anthropologists (AAPA), New Orleans, LA, April 19--22, 2017.", acknowledgement = ack-nhfb, fjournal = "American Journal of Physical Anthropology", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1096-8644", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000423063102334", } @InCollection{Voronin:2017:IRL, author = "Sergey Voronin and Ingrid Daubechies", booktitle = "Functional Analysis, Harmonic Analysis, and Image Processing: a Collection of Papers in Honor of {Bj{\"o}rn Jawerth}", title = "An iteratively reweighted least squares algorithm for sparse regularization", volume = "693", publisher = pub-AMS, address = pub-AMS:adr, pages = "391--411", month = jan, year = "2017", DOI = "https://doi.org/10.1090/conm/693/13941", MRclass = "65F22 (65F10 65K10)", MRnumber = "3682621", MRreviewer = "Silvia Gazzola", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Contemp. Math.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Yin:2017:DWB, author = "Rujie Yin and Ingrid Daubechies", title = "Directional Wavelet Bases Constructions with Dyadic Quincunx Subsampling", journal = j-FOURIER-ANAL-APPL, volume = "??", number = "??", pages = "1--36", day = "13", month = apr, year = "2017", DOI = "https://doi.org/10.1007/s00041-017-9540-z", ISSN = "1069-5869 (print), 1531-5851 (electronic)", bibdate = "Fri Mar 9 11:25:13 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of {Fourier} Analysis and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Yin:2017:TTB, author = "Rujie Yin and Tingran Gao and Yue M. Lu and Ingrid Daubechies", title = "A Tale of Two Bases: Local-Nonlocal Regularization on Image Patches with Convolution Framelets", journal = j-SIAM-J-IMAGING-SCI, volume = "10", number = "2", pages = "711--750", month = "????", year = "2017", CODEN = "SJISBI", DOI = "https://doi.org/10.1137/16M1091447", ISSN = "1936-4954", ISSN-L = "1936-4954", MRclass = "94A08 68Q25 68U10; 94A08 (68Q25 68U10)", MRnumber = "3650425", MRreviewer = "Dongeun Lee", bibdate = "Wed Mar 7 10:19:22 2018", bibsource = "http://epubs.siam.org/SIIMS/siims_toc.html; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjimagingsci.bib", ZMnumber = "1375.94029", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Imaging Sciences", journal-URL = "http://epubs.siam.org/siims", onlinedate = "January 2017", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", unique-id = "ISI:000404761200010", } @Article{Zhu:2017:LLD, author = "Wei Zhu and Qiang Qiu and Jiaji Huang and Robert Calderbank and Guillermo Sapiro and Ingrid Daubechies", title = "{LDMNet}: Low Dimensional Manifold Regularized Neural Networks", journal = "arXiv.org", volume = "??", number = "??", pages = "1--12", day = "16", month = nov, year = "2017", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1711.06246", abstract = "Deep neural networks have proved very successful on archetypal tasks for which large training sets are available, but when the training data are scarce, their performance suffers from overfitting. Many existing methods of reducing overfitting are data-independent, and their efficacy is often limited when the training set is very small. Data-dependent regularizations are mostly motivated by the observation that data of interest lie close to a manifold, which is typically hard to parametrize explicitly and often requires human input of tangent vectors. These methods typically only focus on the geometry of the input data, and do not necessarily encourage the networks to produce geometrically meaningful features. To resolve this, we propose a new framework, the Low-Dimensional-Manifold-regularized neural Network (LDMNet), which incorporates a feature regularization method that focuses on the geometry of both the input data and the output features. In LDMNet, we regularize the network by encouraging the combination of the input data and the output features to sample a collection of low dimensional manifolds, which are searched efficiently without explicit parametrization. To achieve this, we directly use the manifold dimension as a regularization term in a variational functional. The resulting Euler-Lagrange equation is a Laplace-Beltrami equation over a point cloud, which is solved by the point integral method without increasing the computational complexity. We demonstrate two benefits of LDMNet in the experiments. First, we show that LDMNet significantly outperforms widely-used network regularizers such as weight decay and DropOut. Second, we show that LDMNet can be designed to extract common features of an object imaged via different modalities, which proves to be very useful in real-world applications such as cross-spectral face recognition.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Computer Vision and Pattern Recognition (cs.CV)", } @Article{Gao:2018:DAF, author = "Tingran Gao and Gabriel S. Yapuncich and Ingrid Daubechies and Sayan Mukherjee and Doug M. Boyer", title = "Development and Assessment of Fully Automated and Globally Transitive Geometric Morphometric Methods, With Application to a Biological Comparative Dataset With High Interspecific Variation", journal = "The Anatomical Record --- Advances in Integrative Anatomy and Evolutionary Biology", volume = "301", number = "4", pages = "656--658", month = apr, year = "2018", DOI = "https://doi.org/10.1002/ar.23700", ISSN = "1932-8486 (print), 1932-8494 (electronic)", ISSN-L = "1932-8486", bibdate = "Thu Mar 8 16:48:01 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Procrustes, transformational homology, morphological disparity, shape analysis, phenomics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gao:2018:GPL, author = "Tingran Gao and Shahar Z. Kovalsky and Doug M. Boyer and Ingrid Daubechies", title = "{Gaussian} Process Landmarking on Manifolds", journal = "arXiv.org", volume = "??", number = "??", pages = "1--41", day = "9", month = feb, year = "2018", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 08:17:16 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1802.03479", abstract = "As a means of improving analysis of biological shapes, we propose a greedy algorithm for sampling a Riemannian manifold based on the uncertainty of a Gaussian process. This is known to produce a near optimal experimental design with the manifold as the domain, and appears to outperform the use of user-placed landmarks in representing geometry of biological objects. We provide an asymptotic analysis for the decay of the maximum conditional variance, which is frequently employed as a greedy criterion for similar variance- or uncertainty-based sequential experimental design strategies, to our knowledge this is the first result of this type for experimental design. The key observation is to link the greedy algorithm with reduced basis methods in the context of model reduction for partial differential equations. We apply the proposed landmarking algorithm to geometric morphometrics, a branch of evolutionary biology focusing on the analysis and comparisons of anatomical shapes, and compare the automatically sampled landmarks with the ``ground truth'' landmarks manually placed by evolutionary anthropologists, the results suggest that Gaussian process landmarks perform equally well or better, in terms of both spatial coverage and downstream statistical analysis. We expect this approach will find additional applications in other fields of research.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "41 pages, 10 figures.", subject = "Methodology (stat.ME); Computer Vision and Pattern Recognition (cs.CV)", } @Article{Xu:2018:RDB, author = "Jieren Xu and Haizhao Yang and Ingrid Daubechies", title = "Recursive Diffeomorphism-Based Regression for Shape Functions", journal = j-SIAM-J-MATH-ANA, volume = "50", number = "1", pages = "5--32", month = "????", year = "2018", CODEN = "SJMAAH", DOI = "https://doi.org/10.1137/16M1097535", ISSN = "0036-1410 (print), 1095-7154 (electronic)", ISSN-L = "0036-1410", MRclass = "65T40 62G08; 42A32 (65T99)", MRnumber = "3740323", bibdate = "Wed Mar 07 07:52:41 2018", bibsource = "http://epubs.siam.org/sam-bin/dbq/toc/SIMA/50/1; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathana2010.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematical Analysis", journal-URL = "http://epubs.siam.org/sima", onlinedate = "January 2018", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gao:2019:GPLa, author = "Tingran Gao and Shahar Z. Kovalsky and Ingrid Daubechies", title = "{Gaussian} Process Landmarking on Manifolds", journal = j-SIAM-J-MATH-DATA-SCI, volume = "1", number = "1", pages = "208--236", month = "????", year = "2019", CODEN = "SJMDAQ", DOI = "https://doi.org/10.1137/18M1184035", ISSN = "2577-0187", bibdate = "Fri Aug 23 06:14:14 MDT 2019", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathdatasci.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematics of Data Science", journal-URL = "https://epubs.siam.org/simods", onlinedate = "January 2019", } @Article{Gao:2019:GPLb, author = "Tingran Gao and Shahar Z. Kovalsky and Doug M. Boyer and Ingrid Daubechies", title = "{Gaussian} Process Landmarking for Three-Dimensional Geometric Morphometrics", journal = j-SIAM-J-MATH-DATA-SCI, volume = "1", number = "1", pages = "237--267", month = "????", year = "2019", CODEN = "SJMDAQ", DOI = "https://doi.org/10.1137/18M1203481", ISSN = "2577-0187", bibdate = "Fri Aug 23 06:14:14 MDT 2019", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathdatasci.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematics of Data Science", journal-URL = "https://epubs.siam.org/simods", onlinedate = "January 2019", } @Article{Zhu:2019:SMD, author = "Wei Zhu and Qiang Qiu and Bao Wang and Jianfeng Lu and Guillermo Sapiro and Ingrid Daubechies", title = "Stop Memorizing: a Data-Dependent Regularization Framework for Intrinsic Pattern Learning", journal = j-SIAM-J-MATH-DATA-SCI, volume = "1", number = "3", pages = "476--496", month = "????", year = "2019", CODEN = "SJMDAQ", DOI = "https://doi.org/10.1137/19M1236886", ISSN = "2577-0187", bibdate = "Thu Oct 10 08:39:38 MDT 2019", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamjmathdatasci.bib", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Mathematics of Data Science", journal-URL = "https://epubs.siam.org/simods", onlinedate = "January 2019", }

%%% ==================================================================== %%% Part 2: Publications about Ingrid Daubechies and/or her works %%% %%% Although at version 1.00 of this bibliography, there were 250 %%% entries in this part, the increasing use of Daubechies wavelets %%% suggests that this list could grow substantially in the future. %%% This part should therefore be viewed as a demonstration of research %%% activity up to early 2018, and makes no claim to continuing %%% exhaustive coverage.

@Article{Lewis:1991:VAD, author = "A. S. Lewis and G. Knowles", title = "{VLSI} architecture for {$2$-D} {Daubechies} wavelet transform without multipliers", journal = j-ELECT-LETTERS, volume = "27", number = "2", pages = "171", year = "1991", CODEN = "ELLEAK", DOI = "https://doi.org/10.1049/el:19910110", ISSN = "0013-5194 (print), 1350-911X (electronic)", ISSN-L = "0013-5194", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Electronics Letters", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=2220", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Grunbaum:1992:BRF, author = "F. Alberto Gr{\"u}nbaum", title = "Book Review: Functional Analysis: {{\booktitle{Ten Lectures on Wavelets}}, by Ingrid Daubechies; \booktitle{An Introduction to Wavelets}, by Charles K. Chui}", journal = j-SCIENCE, volume = "257", number = "5071", pages = "821--822", day = "7", month = aug, year = "1992", CODEN = "SCIEAS", ISSN = "0036-8075 (print), 1095-9203 (electronic)", ISSN-L = "0036-8075", bibdate = "Thu Mar 8 17:20:42 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/2877684", acknowledgement = ack-nhfb, fjournal = "Science", journal-URL = "http://www.sciencemag.org/archive/", reviewed-author = "Ingrid Daubechies and Charles K. Chui", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Heil:1992:BRI, author = "Christopher Heil", title = "Book Reviews: {Ingrid Daubechies, \booktitle{Ten Lectures on Wavelets}}", journal = j-COMPUT-PHYS, volume = "6", number = "6", pages = "697--697", month = nov, year = "1992", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4823127", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Fri Mar 9 11:12:52 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/computphys.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4823127", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lundberg:1992:BRW, author = "Matthew Lundberg", title = "Book Reviews: {{\booktitle{Wavelets: a Tutorial in Theory and Applications}} (Volume 2 in series `Wavelet Analysis and its Applications') Charles K. Chui Academic Press, Harcourt Brace Jovanovich, San Diego, CA, 1992; ISBN 0-12-174590-2, 736 pp., hardcover, \$69.95. \booktitle{Wavelets and Their Applications} Mary Beth Ruskai, Gregory Beylkin, Ronald Coifman, Ingrid Daubechies, Stephane Mallat, Yves Meyer and Louise Raphael, editors Jones and Bartlett, Boston, MA, 1992; ISBN 0-86720-225-4, 480 pp., hardcover, \$59.95}", journal = j-COMPUT-PHYS, volume = "6", number = "6", pages = "698--??", month = nov, year = "1992", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.4823128", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Mar 10 13:08:54 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/computphys.bib", URL = "https://aip.scitation.org/doi/10.1063/1.4823128", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{OldeDaalhuis:1992:CDW, author = "A. B. {Olde Daalhuis}", title = "Computing with {Daubechies}' wavelets", journal = j-CWI-QUARTERLY, volume = "5", number = "1", pages = "63--72", year = "1992", ISSN = "0922-5366", MRclass = "42C40 65T99 (65R10)", MRnumber = "1178157", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0755.42017", acknowledgement = ack-nhfb, fjournal = "CWI Quarterly", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Pollen:1992:DSF, author = "David Pollen", booktitle = "Wavelets: A tutorial in theory and applications", title = "{Daubechies}' scaling function on {$ [0, 3] $}", volume = "2", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "3--13", year = "1992", ISBN = "0-12-174590-2 (hardcover)", ISBN-13 = "978-0-12-174590-5 (hardcover)", MRclass = "42C15", MRnumber = "1161245", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Wavelet Anal. Appl.", ZMnumber = "0760.42017", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Pollen:1992:DXF, author = "David Pollen", booktitle = "Wavelets", title = "{Daubechies}' {xf} Scaling Function on {$ [0, 3] $}", publisher = "Elsevier", pages = "3--13", year = "1992", DOI = "https://doi.org/10.1016/b978-0-12-174590-5.50005-8", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Pollen:1992:DXS, author = "David Pollen", booktitle = "Wavelets", title = "{Daubechies}' {xf} Scaling Function on $ [0, 3] $", publisher = "Elsevier", pages = "3--13", year = "1992", DOI = "https://doi.org/10.1016/b978-0-12-174590-5.50005-8", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Strang:1992:OCD, author = "Gilbert Strang", title = "The optimal coefficients in {Daubechies} wavelets", journal = j-PHYSICA-D, volume = "60", number = "1--4", pages = "239--244", year = "1992", CODEN = "PDNPDT", DOI = "https://doi.org/10.1016/0167-2789(92)90240-N", ISSN = "0167-2789 (print), 1872-8022 (electronic)", ISSN-L = "0167-2789", MRclass = "42C15 42C40", MRnumber = "1195604", MRreviewer = "B. S. Rubin", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Experimental mathematics: computational issues in nonlinear science (Los Alamos, NM, 1991)", ZMnumber = "0780.42021", acknowledgement = ack-nhfb, fjournal = "Physica D. Nonlinear Phenomena", journal-URL = "http://www.sciencedirect.com/science/journal/01672789", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:1993:DSA, author = "Anonymous", title = "{Daubechies} and {Schneider} Among {1992 MacArthur Fellows}", journal = j-PHYS-TODAY, volume = "46", number = "1", pages = "83--84", month = jan, year = "1993", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.2808792", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Bates:1993:BRT, author = "Bruce J. Bates", title = "Book Review: {{\booktitle{Ten Lectures on Wavelets}}, by Ingrid Daubechies}", journal = j-J-ACOUST-SOC-AM, volume = "93", number = "3", pages = "1671--1671", month = mar, year = "1993", CODEN = "JASMAN", DOI = "https://doi.org/10.1121/1.406784", ISSN = "0001-4966", ISSN-L = "0001-4966", bibdate = "Thu Mar 8 16:12:59 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://asa.scitation.org/doi/abs/10.1121/1.406784", acknowledgement = ack-nhfb, fjournal = "Journal of the Acoustical Society of America", journal-URL = "http://scitation.aip.org/content/asa/journal/jasa", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Battle:1993:KGP, author = "Guy Battle", title = "{Klein--Gordon propagation} of {Daubechies} wavelets", journal = j-J-MATH-PHYS, volume = "34", number = "3", pages = "1095--1109", month = mar, year = "1993", CODEN = "JMAPAQ", DOI = "https://doi.org/10.1063/1.530240", ISSN = "0022-2488 (print), 1089-7658 (electronic)", ISSN-L = "0022-2488", MRclass = "35Q40 81Q05 35B40 35Q53 (42C15)", MRnumber = "1207971", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0776.35053", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Physics", journal-URL = "http://jmp.aip.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{C:1993:BRT, author = "E. W. C.", title = "Book Review: {{\booktitle{Ten Lectures on Wavelets}}, by Ingrid Daubechies}", journal = j-MATH-COMPUT, volume = "61", number = "204", pages = "941--942", month = oct, year = "1993", CODEN = "MCMPAF", DOI = "https://doi.org/10.2307/2153268", ISSN = "0025-5718 (print), 1088-6842 (electronic)", ISSN-L = "0025-5718", bibdate = "Thu Mar 8 17:20:42 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/2153268", acknowledgement = ack-nhfb, fjournal = "Mathematics of Computation", journal-URL = "http://www.ams.org/mcom/", reviewed-author = "Ingrid Daubechies", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Daalhuis:1993:CDW, author = "Adri B. Olde Daalhuis", booktitle = "Wavelets: an Elementary Treatment of Theory and Applications", title = "Computing with {Daubechies}' wavelets", volume = "1", publisher = pub-WORLD-SCI, address = pub-WORLD-SCI:adr, pages = "93--105", year = "1993", MRclass = "42C15 (42-02)", MRnumber = "1238557", MRreviewer = "Dinh Dung", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Ser. Approx. Decompos.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Durand:1993:CCA, author = "Sylvain Durand", title = "Convergence of cascade algorithms introduced by {I. Daubechies}", journal = j-NUMER-ALGORITHMS, volume = "4", number = "3", pages = "307--322", month = oct, year = "1993", CODEN = "NUALEG", DOI = "https://doi.org/10.1007/BF02145750", ISSN = "1017-1398 (print), 1572-9265 (electronic)", ISSN-L = "1017-1398", MRclass = "65T40 41A25 42C15; 65D15 (42C15)", MRnumber = "1226003", MRreviewer = "H. M. M{\"o}ller", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0774.65100", acknowledgement = ack-nhfb, fjournal = "Numerical Algorithms", journal-URL = "http://link.springer.com/journal/11075", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Heil:1993:BRT, author = "Christopher Heil", title = "Book Review: {{\booktitle{Ten Lectures on Wavelets}}, by Ingrid Daubechies}", journal = j-SIAM-REVIEW, volume = "35", number = "4", pages = "666--669", month = dec, year = "1993", CODEN = "SIREAD", DOI = "https://doi.org/10.1137/1035160", ISSN = "0036-1445 (print), 1095-7200 (electronic)", ISSN-L = "0036-1445", bibdate = "Thu Mar 8 17:20:42 2018", bibsource = "http://epubs.siam.org/toc/siread/35/4; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/siamreview.bib", URL = "http://www.jstor.org/stable/2132406", acknowledgement = ack-nhfb, fjournal = "SIAM Review", journal-URL = "http://epubs.siam.org/sirev", onlinedate = "December 1993", reviewed-author = "Ingrid Daubechies", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lina:1993:PDW, author = "Jean-Marc Lina and Michel Mayrand", title = "Parametrizations for {Daubechies} wavelets", journal = j-PHYS-REV-E, volume = "48", number = "6", pages = "R4160--R4163", day = "1", month = dec, year = "1993", CODEN = "PLEEE8", DOI = "https://doi.org/10.1103/physreve.48.r4160", ISSN = "1539-3755 (print), 1550-2376 (electronic)", ISSN-L = "1539-3755", MRclass = "42C15 (65D15)", MRnumber = "1376977", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Physical Review E (Statistical physics, plasmas, fluids, and related interdisciplinary topics)", journal-URL = "http://pre.aps.org/browse", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Zeilberger:1993:ID, author = "Doron Zeilberger", title = "On an Identity of {Daubechies}", journal = j-AMER-MATH-MONTHLY, volume = "100", number = "5", pages = "487", month = may, year = "1993", CODEN = "AMMYAE", DOI = "https://doi.org/10.2307/2324306", ISSN = "0002-9890 (print), 1930-0972 (electronic)", ISSN-L = "0002-9890", MRclass = "05A30 05A19", MRnumber = "1215539", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/10.2307/2324306", ZMnumber = "0786.05009", acknowledgement = ack-nhfb, fjournal = "American Mathematical Monthly", journal-URL = "http://www.jstor.org/journals/00029890.html", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Aboulnasr:1994:MBD, author = "T. Aboulnasr", editor = "Mary Wallace", booktitle = "{1994 IEEE International Symposium on Circuits and Systems: ISCAS '94: the New Connaught Rooms, London, England, May 30--June 2, 1994}", title = "A mixed {Butterworth\slash Daubechies} wavelet analysis\slash synthesis system", volume = "6", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "453--456", year = "1994", DOI = "https://doi.org/10.1109/iscas.1994.409000", ISBN = "0-7803-1915-X (paperback), 0-7803-1916-8 (hardcover), 0-7803-1917-6 (microfiche)", ISBN-13 = "978-0-7803-1915-8 (paperback), 978-0-7803-1916-5 (hardcover), 978-0-7803-1917-2 (microfiche)", LCCN = "TK454.2 .In8 1994", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Best:1994:VDS, author = "Christoph Best and Andreas Schaefer", title = "Variational description of statistical field theories using {Daubechies}' wavelets", journal = "arXiv.org", volume = "??", number = "??", pages = "1--21", day = "16", month = feb, year = "1994", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Thu Mar 8 16:42:17 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/hep-lat/9402012", abstract = "We investigate the description of statistical field theories using Daubechies' orthonormal compact wavelets on a lattice. A simple variational approach is used to extend mean field theory and make predictions for the fluctuation strengths of wavelet coefficients and thus for the correlation function. The results are compared to Monte Carlo simulations. We find that wavelets provide a reasonable description of critical phenomena with only a small number of variational parameters. This lets us hope for an implementation of the renormalization group in wavelet space.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "hep-lat/9402012", primaryclass = "hep-lat", remark = "21pp, \LaTeX{} with Postscript figures.", reportnumber = "UFTP-357-1994", slaccitation = "HEP-LAT/9402012", subject = "High Energy Physics - Lattice (hep-lat); Cellular Automata and Lattice Gases (nlin.CG)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Doroslovacki:1994:DAD, author = "M. Doroslovacki", booktitle = "{Proceedings of IEEE--SP International Symposium on Time-Frequency and Time-Scale Analysis}", title = "Diminishing the asymmetry of {Daubechies}' wavelets", publisher = pub-IEEE, address = pub-IEEE:adr, year = "1994", DOI = "https://doi.org/10.1109/tfsa.1994.467376", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gagnon:1994:ACD, author = "Langis Gagnon and J. M. Lina and B. Goulard", title = "Application of Complex {Daubechies}' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation Model", journal = "arXiv.org", volume = "??", number = "??", pages = "1--4", day = "31", month = mar, year = "1994", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/comp-gas/9403006", abstract = "We report the first application of complex symmetric wavelets to the numerical simulation of a nonlinear signal propagation model. This model is the so-called nonlinear Schr{\"o}dinger equation that describes, for instance, the evolution of the electric field amplitude in nonlinear optical fibers. We propose and study a new way to implement a global space-time adaptive grid, based on interpolation properties of higher-order scaling functions.", acknowledgement = ack-nhfb, remark = "4 pages, compressed and uuencoded postcript file (final size: 720 Kbytes) Submitted to 7th SP Workshop on Signal Analysis and Array Processing.", subject = "Cellular Automata and Lattice Gases (nlin.CG)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gagnon:1994:SDW, author = "L. Gagnon and J.-M. M. Lina", title = "Symmetric {Daubechies}' wavelets and numerical solution of {NLS} equations", journal = j-J-PHYS-A, volume = "27", number = "24", pages = "8207--8230", year = "1994", CODEN = "JPHAC5", DOI = "https://doi.org/10.1088/0305-4470/27/24/027", ISSN = "0305-4470 (print), 1361-6447 (electronic)", ISSN-L = "0305-4470", MRclass = "65M60 35Q55 42C40; 65M99 (35Q55)", MRnumber = "1323591", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://stacks.iop.org/0305-4470/27/8207", ZMnumber = "0846.65050", acknowledgement = ack-nhfb, fjournal = "Journal of Physics. A. Mathematical and General", journal-URL = "http://iopscience.iop.org/1751-8121", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Lina:1994:PCD, author = "Jean-Marc Lina and Michel Mayrand", editor = "Harold H. Szu", booktitle = "Wavelet Applications", title = "Parameterizations for complex {Daubechies} wavelets", publisher = pub-SPIE, address = pub-SPIE:adr, month = mar, year = "1994", DOI = "https://doi.org/10.1117/12.170087", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Tieng:1994:CDW, author = "Quang Minh Tieng and W. W. Boles", booktitle = "{Proceedings of 1st International Conference on Image Processing}", title = "Complex {Daubechies} wavelet based affine invariant representation for object recognition", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "198--202", year = "1994", DOI = "https://doi.org/10.1109/icip.1994.413303", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gimbutas:1995:DCSa, author = "{\v{Z}}. Gimbutas and A. Bastys", title = "{I}. {Daubechies} compactly supported wavelets with minimal {Heisenberg} boxes", journal = "Lietuvos Matematikos Rinkinys", volume = "35", number = "4", pages = "432--455", year = "1995", DOI = "https://doi.org/10.1007/BF02348823", ISSN = "0132-2818", MRclass = "42C15", MRnumber = "1407442", MRreviewer = "Qing Tang Jiang", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Matematikos ir Informatikos Institutas. Lietuvos Matematik\polhk u\ Draugija. Vilniaus Universitetas. Lietuvos Matematikos Rinkinys", sjournal = "Liet. Mat. Rink.", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gimbutas:1995:DCSb, author = "{\v{Z}}. Gimbutas and A. Bastys", title = "{Daubechies} compactly supported wavelets with minimal {Heisenberg} boxes", journal = "Lithuanian Mathematical Journal", volume = "35", number = "4", pages = "343--362", year = "1995", DOI = "https://doi.org/10.1007/BF02348823", ISSN = "0363-1672 (print), 1573-8825 (electronic)", ISSN-L = "0363-1672", MRclass = "42C40", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0857.42024", acknowledgement = ack-nhfb, ajournal = "Lith. Math. J.", fjournal = "Lithuanian Mathematical Journal", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Griffel:1995:BRT, author = "D. H. Griffel", title = "Book Review: {{\booktitle{Ten Lectures on Wavelets}}, by Ingrid Daubechies}", journal = j-MATH-GAZ, volume = "79", number = "484", pages = "224--227", month = mar, year = "1995", CODEN = "MAGAAS", DOI = "https://doi.org/10.2307/3620105", ISSN = "0025-5572 (print), 2056-6328 (electronic)", bibdate = "Thu Mar 08 17:34:27 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/3620105", acknowledgement = ack-nhfb, fjournal = "Mathematical Gazette", journal-URL = "http://www.m-a.org.uk/jsp/index.jsp?lnk=620", reviewed-author = "Ingrid Daubechies", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kateb:1995:ABD, author = "Djalil Kateb and Pierre Gilles Lemari{\'e}-Rieusset", title = "Asymptotic behavior of the {Daubechies} filters", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "2", number = "4", pages = "398--399", year = "1995", DOI = "https://doi.org/10.1006/acha.1995.1029", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C15 (94A12)", MRnumber = "1354918", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0835.42020", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kateb:1995:PFD, author = "Djalil Kateb and Pierre-Gilles Lemari{\'e}-Rieusset", title = "Sur la phase des filtres de {Daubechies}", journal = j-C-R-ACAD-SCI-I, volume = "320", number = "1", pages = "5--8", year = "1995", CODEN = "CASMEI", ISSN = "0764-4442 (print), 1778-3577 (electronic)", ISSN-L = "0764-4442", MRclass = "42C15 (94A12)", MRnumber = "1320821", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0828.42023", acknowledgement = ack-nhfb, fjournal = "Comptes Rendus de l'Acad{\'e}mie des Sciences. S{\'e}rie I. Math{\'e}matique", language = "French", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lai:1995:DFA, author = "Ming-Jun Lai", title = "On the digital filter associated with {Daubechies}' wavelets", journal = j-IEEE-TRANS-SIG-PROC, volume = "43", number = "9", pages = "2203--2205", year = "1995", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/78.414786", ISSN = "1053-587X (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lina:1995:CDW, author = "Jean-Marc Lina and Michel Mayrand", title = "Complex {Daubechies} wavelets", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "2", number = "3", pages = "219--229", year = "1995", DOI = "https://doi.org/10.1006/acha.1995.1015", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C15 (65T20) 42C40", MRnumber = "1339802", MRreviewer = "Chang Bai Xiao", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0844.42017", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Novikov:1995:MDW, author = "I. Ya. Novikov", title = "Modified {Daubechies} wavelets preserving localization with growth of smoothness", journal = "East Journal on Approximations", volume = "1", number = "3", pages = "341--348", year = "1995", ISSN = "1310-6236", MRclass = "42C15 42C40", MRnumber = "1404351", MRreviewer = "Hans W. Volkmer", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0854.42025", acknowledgement = ack-nhfb, ajournal = "East J. Approx.", fjournal = "East Journal on Approximations", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Phillies:1995:MZD, author = "George D. J. Phillies and Jonathan Stott", title = "{Mori--Zwanzig--Daubechies} decomposition of {Ising}-model {Monte Carlo} dynamics", journal = j-COMPUT-PHYS, volume = "9", number = "2", pages = "225--??", month = mar, year = "1995", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.168527", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/computphys.bib", URL = "https://aip.scitation.org/doi/10.1063/1.168527", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Rosiek:1995:DBV, author = "Mark R. Rosiek and Mark L. McLeod", editor = "Harold H. Szu", booktitle = "Wavelet Applications {II}", title = "{Daubechies}-based visual table of contents", publisher = pub-SPIE, address = pub-SPIE:adr, month = apr, year = "1995", DOI = "https://doi.org/10.1117/12.205446", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Rowe:1995:DWM, author = "Alistair C. H. Rowe and Paul C. Abbott", title = "{Daubechies} wavelets and {Mathematica}", journal = j-COMPUT-PHYS, volume = "9", number = "6", pages = "635--??", month = nov, year = "1995", CODEN = "CPHYE2", DOI = "https://doi.org/10.1063/1.168556", ISSN = "0894-1866 (print), 1558-4208 (electronic)", ISSN-L = "0894-1866", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/computphys.bib; http://www.math.utah.edu/pub/tex/bib/mathematica.bib", URL = "https://aip.scitation.org/doi/10.1063/1.168556", acknowledgement = ack-nhfb, ajournal = "Comput. Phys", fjournal = "Computers in Physics", journal-URL = "https://aip.scitation.org/journal/cip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cohen:1996:WMB, author = "Albert Cohen and Jelena Kova{\v{c}}evi{\'c}", title = "Wavelets: the mathematical background", journal = j-PROC-IEEE, volume = "84", number = "4", pages = "514--522", month = apr, year = "1996", CODEN = "IEEPAD", DOI = "https://doi.org/10.1109/5.488697", ISSN = "0018-9219 (print), 1558-2256 (electronic)", ISSN-L = "0018-9219", bibdate = "Thu Mar 8 15:25:42 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings of the IEEE", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=5", keywords = "Ingrid Daubechies; wavelet history", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Dumont:1996:RPE, author = "S. Dumont and F. Lebon", title = "Representation of plane elastostatics operators in {Daubechies} wavelets", journal = j-COMP-STRUCTURES, volume = "60", number = "4", pages = "561--569", month = jun, year = "1996", CODEN = "CMSTCJ", DOI = "https://doi.org/10.1016/0045-7949(96)00003-X", ISSN = "0045-7949 (print), 1879-2243 (electronic)", ISSN-L = "0045-7949", MRclass = "73V20 (73C02); 74S30 74B05", MRnumber = "1400088", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0918.73357", acknowledgement = ack-nhfb, fjournal = "Computers and Structures", journal-URL = "http://www.sciencedirect.com/science/journal/00457949", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Durand:1996:EVC, author = "Sylvain Durand", title = "{{\'E}}tude de la vitesse de convergence de l'algorithme en cascade dans la construction des ondelettes d'{Ingrid Daubechies}. ({French}) [{Study} of the speed of convergence of the cascading algorithm in the construction of the wavelets of {Ingrid Daubechies}]", journal = j-REV-MATH-IBER, volume = "12", number = "2", pages = "277--297", year = "1996", DOI = "https://doi.org/10.4171/RMI/199", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", MRclass = "42C15 (65D15) 65T60 42C40", MRnumber = "1402669", MRreviewer = "Lars F. Villemoes", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0865.65103", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", language = "French", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Jameson:1996:DMD, author = "Leland Jameson", title = "The differentiation matrix for {Daubechies}-based wavelets on an interval", journal = j-SIAM-J-SCI-COMP, volume = "17", number = "2", pages = "498--516", year = "1996", CODEN = "SJOCE3", DOI = "https://doi.org/10.1137/S1064827593260176", ISSN = "1064-8275 (print), 1095-7197 (electronic)", ISSN-L = "1064-8275", MRclass = "65D25 65T60 42C40; 65D25 (65N30)", MRnumber = "1374293", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0848.65008", acknowledgement = ack-nhfb, fjournal = "SIAM Journal on Scientific Computing", journal-URL = "http://epubs.siam.org/sisc", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Lina:1996:IPS, author = "J.-M. Lina and P. Drouilly", booktitle = "Proceedings {IWISP} '96", title = "The Importance of the Phase of the Symmetric {Daubechies} Wavelets Representation of Signals", publisher = "Elsevier", pages = "61--64", year = "1996", DOI = "https://doi.org/10.1016/b978-044482587-2/50015-x", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Patton:1996:ODF, author = "Richard D. Patton and Patrick C. Marks", title = "One-dimensional finite elements based on the {Daubechies} family of wavelets", journal = j-AIAA-J, volume = "34", number = "8", pages = "1696--1698", year = "1996", CODEN = "AIAJAH", DOI = "https://doi.org/10.2514/3.13291", ISSN = "0001-1452 (print), 1533-385X (electronic)", ISSN-L = "0001-1452", MRclass = "74S05", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0900.73713", acknowledgement = ack-nhfb, fjournal = "AIAA Journal", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @TechReport{Restrepo:1996:PDW, author = "J. M. Restrepo and G. K. Leaf and G. Schlossnagle", title = "Periodized {Daubechies} wavelets", number = "MCS-P423-0394, DE96007647", institution = "Mathematics and Computer Science Division, Argonne National Laboratory", publisher = "Office of Scientific and Technical Information ({OSTI})", address = "Argonne, IL, USA", pages = "", day = "1", month = mar, year = "1996", DOI = "https://doi.org/10.2172/211651", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", abstract = "The properties of periodized Daubechies wavelets on $ [0, 1] $ are detailed and counterparts which form a basis for $ L^2 (R) $. Numerical examples illustrate the analytical estimates for convergence and demonstrated by comparison with Fourier spectral methods the superiority of wavelet projection methods for approximations. The analytical solution to inner products of periodized wavelets and their derivatives, which are known as connection coefficients, is presented, and their use ius illustrated in the approximation of two commonly used differential operators. The periodization of the connection coefficients in Galerkin schemes is presented in detail.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Shen:1996:AAD, author = "Jianhong Shen and Gilbert Strang", title = "Asymptotic analysis of {Daubechies} polynomials", journal = j-PROC-AM-MATH-SOC, volume = "124", number = "12", pages = "3819--3833", month = dec, year = "1996", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-96-03557-5", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "42C15", MRnumber = "1346987", MRreviewer = "Albert Cohen", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/10.2307/2161554", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Temme:1996:ANZ, author = "Nico M. Temme", title = "Asymptotics and numerics of zeros of polynomials that are related to {Daubechies} wavelets", journal = "arXiv.org", volume = "??", number = "??", pages = "1--13", day = "21", month = oct, year = "1996", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Report number OP-SF 21 October 1996.", URL = "https://arxiv.org/abs/math/9610225", abstract = "We give asymptotic approximations of the zeros of certain high degree polynomials. The zeros can be used to compute the filter coefficients in the dilation equations which define the compactly supported orthogonal Daubechies wavelets. Computational schemes are presented to obtain the numerical values of the zeros within high precision.", acknowledgement = ack-nhfb, subject = "Classical Analysis and ODEs (math.CA); Numerical Analysis (math.NA)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Culik:1997:IDW, author = "Karel {Culik II} and Simant Dube", title = "Implementing {Daubechies} wavelet transform with weighted finite automata", journal = j-ACTA-INFO, volume = "34", number = "5", pages = "347--366", month = may, year = "1997", CODEN = "AINFA2", DOI = "https://doi.org/10.1007/s002360050089", ISSN = "0001-5903 (print), 1432-0525 (electronic)", ISSN-L = "0001-5903", MRclass = "68Q68 (68U10) 68Q45", MRnumber = "1465285", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0876.68073", acknowledgement = ack-nhfb, ajournal = "Acta Inform.", fjournal = "Acta Informatica", journal-URL = "http://link.springer.com/journal/236", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Huang:1997:IRB, author = "Daren Huang and Qiyu Sun and Zeyin Zhang", title = "Integral representation of {$M$}-band filters of {Daubechies} type", journal = "Chinese Science Bulletin", volume = "42", number = "10", pages = "803--807", year = "1997", DOI = "https://doi.org/10.1007/BF02882486", ISSN = "1001-6538 (print), 1861-9541 (electronic)", ISSN-L = "1001-6538", MRclass = "42C15 42C40", MRnumber = "1460616", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0928.42019", acknowledgement = ack-nhfb, ajournal = "Chinese Sci. Bull.", fjournal = "Chinese Science Bulletin", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kateb:1997:PDF, author = "Djalil Kateb and Pierre Gilles Lemari{\'e}-Rieusset", title = "The phase of the {Daubechies} filters", journal = j-REV-MATH-IBER, volume = "13", number = "2", pages = "245--305", year = "1997", DOI = "https://doi.org/10.4171/RMI/221", ISSN = "0213-2230 (print), 2235-0616 (electronic)", ISSN-L = "0213-2230", MRclass = "42C10 (33C45 33E20) 42C15", MRnumber = "1617661", MRreviewer = "David F. Walnut", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0896.42021", acknowledgement = ack-nhfb, fjournal = "Revista Matem{\'a}tica Iberoamericana", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Klappenecker:1997:APS, author = "Andreas Klappenecker", booktitle = "{Proceedings of IEEE International Symposium on Information Theory: ISlT 1997, Ulm, Germany, June 29--July 4}", title = "On algebraic properties of selfreciprocal polynomials and of {Daubechies} filters of low order", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "80--80", year = "1997", DOI = "https://doi.org/10.1109/isit.1997.612995", ISBN = "0-7803-3956-8", ISBN-13 = "978-0-7803-3956-9", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @PhdThesis{Lin:1997:BFA, author = "Chien-Hsin Lin", title = "Basis function analysis in {Daubechies} wavelet transformation", school = "Department of Electrical Engineering and Computer Science, Tulane University", address = "New Orleans, LA 70118, USA", pages = "xi + 181", day = "16", month = dec, year = "1997", ISBN = "0-599-03948-5", ISBN-13 = "978-0-599-03948-3", MRnumber = "2698160", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Thesis (Ph.D.)--Tulane University", URL = "https://search.proquest.com/docview/304456212", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lina:1997:IPC, author = "Jean-Marc Lina", title = "Image processing with complex {Daubechies} wavelets", journal = j-J-MATH-IMAG-VIS, volume = "7", number = "3", pages = "211--223", year = "1997", CODEN = "JMIVEK", DOI = "https://doi.org/10.1023/A:1008274210946", ISSN = "0924-9907 (print), 1573-7683 (electronic)", ISSN-L = "0924-9907", MRclass = "68U10 (42C10)", MRnumber = "1463099", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Mathematical Imaging and Vision", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lu:1997:SRD, author = "X. G. Lu", title = "Series representation of {Daubechies}' wavelets", journal = j-J-COMP-MATH, volume = "15", number = "1", pages = "81--96", year = "1997", CODEN = "JCMMEB", ISSN = "0254-9409 (print), 1991-7139 (electronic)", ISSN-L = "0254-9409", MRclass = "42C15 42C40", MRnumber = "1429988", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0861.42023", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Restrepo:1997:IPC, author = "Juan Mario Restrepo and Gary K. Leaf", title = "Inner product computations using periodized {Daubechies} wavelets", journal = j-INT-J-NUMER-METHODS-ENG, volume = "40", number = "19", pages = "3557--3578", year = "1997", CODEN = "IJNMBH", DOI = "https://doi.org/10.1002/(SICI)1097-0207(19971015)40:19<3557::AID-NME227>3.0.CO;2-A", ISSN = "0029-5981 (print), 1097-0207 (electronic)", ISSN-L = "0029-5981", MRclass = "65T60 65N30 42C40; 65T99 (65D15)", MRnumber = "1473617", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0906.65138", acknowledgement = ack-nhfb, fjournal = "International Journal for Numerical Methods in Engineering", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1097-0207", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Sun:1997:IRA, author = "Qi Yu Sun and Ze Yin Zhang and Da Ren Huang", title = "An integral representation for $n$-ary {Daubechies} filters", journal = "Kexue Tongbao (Chinese)", volume = "42", number = "8", pages = "807--810", year = "1997", ISSN = "0023-074X", MRclass = "42C15", MRnumber = "1465383", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Kexue Tongbao. Chinese Science Bulletin", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Temme:1997:ANZ, author = "Nico M. Temme", title = "Asymptotics and numerics of zeros of polynomials that are related to {Daubechies} wavelets", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "4", number = "4", pages = "414--428", year = "1997", DOI = "https://doi.org/10.1006/acha.1997.0218", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C15 (41A10) 42C40", MRnumber = "1474097", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0903.42016", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:1998:ASA, author = "Anonymous", title = "{Academy of Sciences} Adds to Its Ranks", journal = j-PHYS-TODAY, volume = "51", number = "7", pages = "80--80", month = jul, year = "1998", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.2805878", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Mar 10 10:32:48 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://physicstoday.scitation.org/doi/abs/10.1063/1.2805878", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", remark = "Ingrid Daubechies is among the new members of the US NAS.", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Bi:1998:ABB, author = "N. Bi and L. Debnath and Q. Sun", title = "Asymptotic behavior of {$M$}-band scaling functions of {Daubechies} type", journal = j-Z-ANAL-ANWEND, volume = "17", number = "4", pages = "813--830", year = "1998", DOI = "https://doi.org/10.4171/ZAA/852", ISSN = "0232-2064 (print), 1661-4534 (electronic)", ISSN-L = "0232-2064", MRclass = "42C40", MRnumber = "1669897", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1055.42505", acknowledgement = ack-nhfb, fjournal = "Zeitschrift f{\"u}r Analysis und ihre Anwendungen. Journal for Analysis and its Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Brito:1998:DWQ, author = "N. S. D. Brito and B. A. Souza and F. A. C. Pires", booktitle = "8th International Conference on Harmonics and Quality of Power. Proceedings", title = "{Daubechies} wavelets in quality of electrical power", publisher = pub-IEEE, address = pub-IEEE:adr, year = "1998", DOI = "https://doi.org/10.1109/ichqp.1998.759961", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "IEEE Catalog Number 98EX227.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Jiankang:1998:TSS, author = "Zhang Jiankang and Bao Zheng and Jiao Licheng", booktitle = "{ICSP} '98. 1998 Fourth International Conference on Signal Processing", title = "Transformation of {Shannon}'s sampling points into {Daubechies}' wavelet sampling points", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "305--308", year = "1998", DOI = "https://doi.org/10.1109/icosp.1998.770212", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/authors/s/shannon-claude-elwood.bib", note = "IEEE catalog number 98TH8344.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Lina:1998:CDW, author = "J.-M. Lina", booktitle = "{Inverse problems, tomography, and image processing. Proceedings of sessions from the 1st international congress of ISAAC (International Society for Analysis, Applications and Computing), University of Delaware, Newark, DE, USA, June 3--7, 1997}", title = "Complex {Daubechies} wavelets: Filters design and applications", publisher = pub-PLENUM, address = pub-PLENUM:adr, pages = "95--112", year = "1998", ISBN = "0-306-45828-4", ISBN-13 = "978-0-306-45828-6", MRclass = "42C15 (94A11) 65T60 42C40 68U10", MRnumber = "1625258", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0904.65143", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Novikov:1998:UCM, author = "I. Ya. Novikov", title = "Uncertainty constants for modified {Daubechies} wavelets", journal = "Izv. Tul. Gos. Univ. Ser. Mat. Mekh. Inform.", volume = "4", number = "1", pages = "107--111, 165", year = "1998", MRclass = "42C40", MRnumber = "1754211", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Proceedings of the International Conference ``Approximation Theory and Harmonic Analysis'' (Russian) (Tula, 1998).", acknowledgement = ack-nhfb, fjournal = "Izvestiya Tul\cprime skogo Gosudarstvennogo Universiteta. Seriya Matematika. Mekhanika. Informatika", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Rakowski:1998:DFWa, author = "Waldemar Rakowski and Zbigniew Bartosiewicz", title = "{Daubechies} filters in wavelet image compression", journal = j-FUND-INFO, volume = "34", number = "4", pages = "455--467", year = "1998", CODEN = "FUMAAJ", ISSN = "0169-2968 (print), 1875-8681 (electronic)", ISSN-L = "0169-2968", MRclass = "94A08 (42C15 65T60 68U10)", MRnumber = "1659002", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0947.68158", acknowledgement = ack-nhfb, fjournal = "Fundamenta Informaticae", journal-URL = "http://content.iospress.com/journals/fundamenta-informaticae", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Rakowski:1998:DFWb, author = "Waldemar Rakowski and Zbigniew Bartosiewicz", booktitle = "Rough Sets and Current Trends in Computing", title = "{Daubechies} Filters for {$2$D} Wavelet Transforms", publisher = pub-SV, address = pub-SV:adr, pages = "369--372", year = "1998", DOI = "https://doi.org/10.1007/3-540-69115-4_50", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Shen:1998:ADF, author = "Jianhong Shen and Gilbert Strang", title = "Asymptotics of {Daubechies} filters, scaling functions, and wavelets", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "5", number = "3", pages = "312--331", year = "1998", DOI = "https://doi.org/10.1006/acha.1997.0234", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40 41A60 41A30 94A12 (42C15)", MRnumber = "1632541", MRreviewer = "Lars F. Villemoes", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0929.42022", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Anonymous:1999:DWa, author = "Anonymous", booktitle = "A Primer on Wavelets and Their Scientific Applications", title = "{Daubechies} wavelets", publisher = pub-CRC, address = pub-CRC:adr, month = mar, year = "1999", DOI = "https://doi.org/10.1201/9781420050011.ch2", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cai:1999:BRT, author = "Tianxi Cai and Jianhong Shen", title = "Boundedness is redundant in a theorem of {Daubechies}", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "6", number = "3", pages = "400--404", year = "1999", DOI = "https://doi.org/10.1006/acha.1997.0257", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40 (42C15)", MRnumber = "1685412", MRreviewer = "David F. Walnut", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0943.42021", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Drouiche:1999:DMW, author = "Karim Drouiche and Djalil Kateb and Daniel Boichu", title = "{Daubechies--Matzinger} wavelets and {Lorentz} polynomials", journal = j-ADV-COMPUT-MATH, volume = "10", number = "3--4", pages = "239--260", year = "1999", CODEN = "ACMHEX", DOI = "https://doi.org/10.1023/A:1018934800784", ISSN = "1019-7168 (print), 1572-9044 (electronic)", ISSN-L = "1019-7168", MRclass = "42C40 (65T60) 41A10", MRnumber = "1692247", MRreviewer = "Hans W. Volkmer", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0932.42027", acknowledgement = ack-nhfb, fjournal = "Advances in Computational Mathematics", journal-URL = "http://link.springer.com/journal/10444", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Nievergelt:1999:ADW, author = "Yves Nievergelt", booktitle = "Wavelets Made Easy", title = "Algorithms for {Daubechies} Wavelets", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "73--113", year = "1999", DOI = "https://doi.org/10.1007/978-1-4612-0573-9_3", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Nievergelt:1999:DWD, author = "Yves Nievergelt", booktitle = "Wavelets Made Easy", title = "{Daubechies} Wavelets Design", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "238--261", year = "1999", DOI = "https://doi.org/10.1007/978-1-4612-0573-9_8", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Sun:1999:SEE, author = "Qiyu Sun", title = "{Sobolev} exponent estimate and asymptotic regularity of the {$M$}-band {Daubechies}' scaling functions", journal = j-CONST-APPROX, volume = "15", number = "3", pages = "441--465", year = "1999", DOI = "https://doi.org/10.1007/s003659900116", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42C40 (46E35)", MRnumber = "1687787", MRreviewer = "Gerald B. Folland", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0962.42029", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Taswell:1999:LMD, author = "C. Taswell", booktitle = "1999 {IEEE} International Conference on Acoustics, Speech, and Signal Processing. Proceedings. {ICASSP99} (Cat. No.99CH36258)", title = "Least and most disjoint root sets for {Daubechies} wavelets", publisher = pub-IEEE, address = pub-IEEE:adr, year = "1999", DOI = "https://doi.org/10.1109/icassp.1999.756197", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Welstead:1999:DW, author = "Stephen Welstead", title = "{Daubechies} Wavelets", crossref = "Welstead:1999:FWI", chapter = "6", pages = "119--130", year = "1999", DOI = "https://doi.org/10.1117/3.353798.ch6", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2000:CMP, author = "Anonymous", title = "Contributions to Medical Physics Honored", journal = j-PHYS-TODAY, volume = "53", number = "11", pages = "71--71", month = nov, year = "2000", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/1.2405515", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Mar 10 10:30:06 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "News of Eduard Rhein Foundation Basic Research Award (2000) to Ingrid Daubechies ``for the invention, the mathematical development, and the applications of wavelets, which have found widespread applications as orthogonal functions in signal processing, radar, and image processing''", URL = "https://physicstoday.scitation.org/doi/abs/10.1063/1.2405515", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Du:2000:GFD, author = "Jingde Du and M. W. Wong", title = "{Gaussian} functions and {Daubechies} operators", journal = j-INT-EQN-OP-TH, volume = "38", number = "1", pages = "1--8", year = "2000", DOI = "https://doi.org/10.1007/BF01192298", ISSN = "0378-620X (print), 1420-8989 (electronic)", ISSN-L = "0378-620X", MRclass = "42C40 (46E30 47B38 47G10)", MRnumber = "1778175", MRreviewer = "Shijun Zheng", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0968.47014", acknowledgement = ack-nhfb, fjournal = "Integral Equations and Operator Theory", journal-URL = "http://link.springer.com/journal/20", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Du:2000:GSD, author = "Jingde Du and M. W. Wong", title = "{Gaussian} series and {Daubechies} operators", journal = j-APPL-ANAL, volume = "76", number = "1--2", pages = "83--91", month = oct, year = "2000", CODEN = "APANCC", DOI = "https://doi.org/10.1080/00036810008840867", ISSN = "0003-6811 (print), 1563-504X (electronic)", ISSN-L = "0003-6811", MRclass = "42C40 (46E30 47B38 47G10)", MRnumber = "1802821", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1020.47035", acknowledgement = ack-nhfb, fjournal = "Applicable Analysis. An International Journal", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lau:2000:ARD, author = "Ka-Sing Lau and Qiyu Sun", title = "Asymptotic regularity of {Daubechies}' scaling functions", journal = j-PROC-AM-MATH-SOC, volume = "128", number = "4", pages = "1087--1095", month = apr, year = "2000", CODEN = "PAMYAR", DOI = "https://doi.org/10.1090/S0002-9939-99-05251-X", ISSN = "0002-9939 (print), 1088-6826 (electronic)", ISSN-L = "0002-9939", MRclass = "42C40 65T60 42A05 42C15 (26A15)", MRnumber = "1654093", MRreviewer = "Don Hong", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.jstor.org/stable/10.2307/119783", ZMnumber = "0941.42016", acknowledgement = ack-nhfb, fjournal = "Proceedings of the American Mathematical Society", journal-URL = "http://www.ams.org/journals/proc", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Lin:2000:AIC, author = "W. Lin and Q. Li", booktitle = "{Proceedings of the second ISAAC congress. Vol. 1. Proceedings of the International Society for Analysis, its Applications and Computation congress, Fukuoka, Japan, August 16--21, 1999}", title = "The algorithm implementation of {Cauchy} singular integral in {Daubechies} wavelets on the interval", volume = "7", publisher = pub-KLUWER, address = pub-KLUWER:adr, pages = "153--161", year = "2000", DOI = "https://doi.org/10.1007/978-1-4613-0269-8_20", ISBN = "0-7923-6597-6 (hardcover)", ISBN-13 = "978-0-7923-6597-6 (hardcover)", MRclass = "41A50 (65T60) 65D32 30E20 65T60", MRnumber = "1940795", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Int. Soc. Anal. Appl. Comput.", ZMnumber = "1037.65033", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Taswell:2000:CSS, author = "Carl Taswell", title = "Constraint-selected and search-optimized families of {Daubechies} wavelet filters computable by spectral factorization", journal = j-J-COMPUT-APPL-MATH, volume = "121", number = "1--2", pages = "179--195", year = "2000", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/S0377-0427(00)00340-X", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65T60 42C40 65-02", MRnumber = "1780048", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Numerical analysis in the 20th century, Vol. I, Approximation theory", ZMnumber = "0966.65121", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Zhang:2000:DWS, author = "Bo Jian Zhang", title = "{Daubechies} wavelet solution on finite interval for the problem of acoustic scattering in a shallow ocean", journal = "J. Guangxi Univ. Nat. Sci. Ed.", volume = "25", number = "3", pages = "182--186", year = "2000", ISSN = "1001-7445", MRclass = "65N30 (65T60 76M25 76Q05)", MRnumber = "1848369", MRreviewer = "Don Hong", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Guangxi University. Natural Science Edition. Guangxi Daxue Xuebao. Ziran Kexue Ban", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Aboufadel:2001:BDS, author = "Edward Aboufadel and Amanda Cox and Amy {Vander Zee}", title = "Bivariate {Daubechies} Scaling Functions (Wavelets)", journal = "arXiv.org", volume = "??", number = "??", pages = "1--10", day = "28", month = mar, year = "2001", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/math/0103198", abstract = "Using the Daubechies conditions of compact support, orthogonal, and regularity, we were able to derive bivariate scaling functions with which to reproduce linear functions (planes). We describe how to create all possible masks of refinement coefficients that satisfy those conditions.", acknowledgement = ack-nhfb, remark = "10 pages.", subject = "Functional Analysis (math.FA); Mathematical Physics (math-ph)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Boese:2001:DZP, author = "F. G. Boese", title = "On the distribution of the zeros of polynomials related to the {Daubechies} wavelets", journal = j-Z-ANGE-MATH-MECH, volume = "81", pages = "709--710", year = "2001", CODEN = "ZAMMAX", DOI = "https://doi.org/10.1002/zamm.200108115130", ISSN = "0044-2267 (print), 1521-4001 (electronic)", ISSN-L = "0044-2267", MRclass = "42C40 65T60", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "0985.42022", acknowledgement = ack-nhfb, fjournal = "ZAMM. Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1521-4001", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Coburn:2001:BIG, author = "L. A. Coburn", booktitle = "{Systems, approximation, singular integral operators, and related topics. Proceedings of the 11th international workshop on operator theory and applications, IWOTA 2000, Bordeaux, France, June 13--16, 2000}", title = "The {Bargmann} isometry and {Gabor--Daubechies} wavelet localization operators", volume = "129", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "169--178", year = "2001", DOI = "https://doi.org/10.1007/978-3-0348-8362-7_7", ISBN = "3-7643-6645-1 (hardcover)", ISBN-13 = "978-3-7643-6645-2 (hardcover)", MRclass = "47B35 (42C40 81R30)", MRnumber = "1882695", MRreviewer = "Miroslav Engli{\v{s}}", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Oper. Theory Adv. Appl.", ZMnumber = "1005.47033", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Du:2001:EED, author = "Jingde Du and M. W. Wong", title = "Eigenvalues and eigenfunctions of {Daubechies} operators with radial symbols", journal = "Far East Journal of Mathematical Sciences (FJMS)", volume = "Spec. Vol.", number = "Special Volume, {Part III}", pages = "257--269", year = "2001", ISSN = "0972-0871", MRclass = "42C40 (47G10)", MRnumber = "1888097", MRreviewer = "M. Anne Dow", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1028.47036", acknowledgement = ack-nhfb, ajournal = "Far East J. Math. Sci. (FJMS)", fjournal = "Far East Journal of Mathematical Sciences (FJMS)", journal-URL = "http://www.pphmj.com/journals/fjms.htm", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Book{Du:2001:WTD, author = "Jingde Du", title = "{Weyl} transforms and {Daubechies} operators: Products, traces, eigenvalues and eigenfunctions", publisher = "ProQuest LLC", address = "Ann Arbor, MI, USA", pages = "87", year = "2001", ISBN = "0-612-70568-4", ISBN-13 = "978-0-612-70568-5", MRnumber = "2703635", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Thesis (Ph.D.)--York University (Canada)", URL = "http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:NQ70568", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Li:2001:CDD, author = "Dengfeng Li and Silong Peng", title = "A characterization of $n$-dimensional {Daubechies} type tensor product wavelet", journal = "Acta Mathematicae Applicatae Sinica. English Series. Yingyong Shuxue Xuebao", volume = "17", number = "3", pages = "382--392", year = "2001", DOI = "https://doi.org/10.1007/BF02677383", ISSN = "0168-9673 (print), 1618-3932 (electronic)", ISSN-L = "0168-9673", MRclass = "42C40", MRnumber = "1877606", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1095.42519", acknowledgement = ack-nhfb, ajournal = "Acta Math. Appl. Sinica (English Ser.)", fjournal = "Acta Mathematicae Applicatae Sinica. English Series. Yingyong Shuxue Xuebao", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Wang:2001:NDS, author = "Yang Wang", title = "On the number of {Daubechies} scaling functions and a conjecture of {Chyzak} et al", journal = j-EXP-MATH, volume = "10", number = "1", pages = "87--89", year = "2001", DOI = "https://doi.org/10.1080/10586458.2001.10504430", ISSN = "1058-6458 (print), 1944-950x (electronic)", ISSN-L = "1058-6458", MRclass = "42C40 12D05", MRnumber = "1822853", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://projecteuclid.org/euclid.em/999188422", ZMnumber = "0974.42028", acknowledgement = ack-nhfb, fjournal = "Experimental Mathematics", journal-URL = "http://www.tandfonline.com/loi/uexm20", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Hasiewicz:2002:INC, author = "Z. Hasiewicz and P. {\'S}liwi{\'n}ski", title = "Identification of nonlinear characteristics of a class of block-oriented nonlinear systems via {Daubechies} wavelet-based models", journal = j-INT-J-SYST-SCI, volume = "33", number = "14", pages = "1121--1144", year = "2002", CODEN = "IJSYA9", DOI = "https://doi.org/10.1080/0020772021000064171", ISSN = "0020-7721 (print), 1464-5319 (electronic)", ISSN-L = "0020-7721", MRclass = "93B30 93C10 65T60", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1060.93034", acknowledgement = ack-nhfb, fjournal = "International Journal of Systems Science", journal-URL = "http://www.tandfonline.com/loi/tsys20", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Hasiewicz:2002:INL, author = "Z. Hasiewicz and P. {\'S}liwi{\'n}ski", title = "Identification of non-linear characteristics of a class of block-oriented non-linear systems via {Daubechies} wavelet-based models", journal = j-INT-J-SYST-SCI, volume = "33", number = "14", pages = "1121--1144", year = "2002", CODEN = "IJSYA9", DOI = "https://doi.org/10.1080/0020772021000064171", ISSN = "0020-7721 (print), 1464-5319 (electronic)", ISSN-L = "0020-7721", MRclass = "93B30 (65L09 65T60)", MRnumber = "1968396", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Systems Science. Principles and Applications of Systems and Integration", journal-URL = "http://www.tandfonline.com/loi/tsys20", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Novikov:2002:ARBa, author = "I. Ya. Novikov", title = "Asymptotics of the roots of {Bernstein} polynomials used in the construction of modified {Daubechies} wavelets", journal = j-MAT-ZAMETKI, volume = "71", number = "2", pages = "239--253", year = "2002", DOI = "https://doi.org/10.1023/A:1013959231555", ISSN = "0025-567X", MRclass = "42C40 (33B20)", MRnumber = "1900797", MRreviewer = "D{\u{a}}ng V{\~u} Giang", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Matematicheskie Zametki", journal-URL = "http://link.springer.com/journal/11006", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Novikov:2002:ARBb, author = "I. Ya. Novikov", title = "Asymptotics of the roots of {Bernstein} polynomials used in the construction of modified {Daubechies} wavelets", journal = j-MATH-NOTES-ACAD-SCI-USSR, volume = "71", number = "2", pages = "217--229", year = "2002", CODEN = "MTHNB2", DOI = "https://doi.org/10.1023/A:1013959231555", ISSN = "0001-4346 (print), 1573-8876 (electronic)", ISSN-L = "0001-4346", MRclass = "42C40 33B20 33E20", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1034.42040", acknowledgement = ack-nhfb, ajournal = "Math. Notes", fjournal = "Mathematical Notes", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Novikov:2002:AZB, author = "I. Ya. Novikov", booktitle = "{Wavelet analysis and applications. Proceedings of an international conference, Guangzhou, China, November 15--20, 1999}", title = "Asymptotics of zeros of {Bernstein} polynomials that are related to modified {Daubechies} wavelets", volume = "25", publisher = pub-AMS, address = pub-AMS:adr, pages = "225--234", year = "2002", ISBN = "0-8218-2991-2 (paperback)", ISBN-13 = "978-0-8218-2991-2 (paperback)", MRclass = "42C40 41A17 (41A35)", MRnumber = "1887515", MRreviewer = "Maria A. Skopina", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "AMS/IP Stud. Adv. Math.", ZMnumber = "1024.42014", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Wong:2002:PDO, author = "M. W. Wong", booktitle = "Wavelet Transforms and Localization Operators", title = "Products of {Daubechies} Operators", publisher = pub-BIRKHAUSER, address = pub-BIRKHAUSER:adr, pages = "124--128", year = "2002", DOI = "https://doi.org/10.1007/978-3-0348-8217-0_22", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Wu:2002:WPI, author = "Ru-Shan Wu and Ling Chen", booktitle = "Theoretical and Computational Acoustics 2001", title = "Wave Propagation and Imaging Using Gabor-Daubechies Beamlets", publisher = "{WORLD} {SCIENTIFIC}", pages = "661--670", month = jul, year = "2002", DOI = "https://doi.org/10.1142/9789812777362_0069", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Bownik:2003:PD, author = "M. Bownik", title = "On a Problem of {Daubechies}", journal = j-CONST-APPROX, volume = "19", number = "2", pages = "179--190", month = mar, year = "2003", DOI = "https://doi.org/10.1007/s00365-001-0025-5", ISSN = "0176-4276 (print), 1432-0940 (electronic)", ISSN-L = "0176-4276", MRclass = "42C40", MRnumber = "1957383", MRreviewer = "Kai Bittner", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1020.42018", acknowledgement = ack-nhfb, fjournal = "Constructive Approximation. An International Journal for Approximations and Expansions", journal-URL = "http://link.springer.com/journal/365", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Karam:2003:CDW, author = "Jalal R. Karam", title = "Connecting {Daubechies} wavelet $ d b8 $ with the {Kakeya--Enestr{\"o}m} theorem", journal = j-INT-J-APPL-MATH, volume = "14", number = "2", pages = "175--186", year = "2003", ISSN = "1311-1728 (print), 1314-8060 (electronic)", ISSN-L = "1311-1728", MRclass = "42C40 65T60 94A12", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1050.42025", acknowledgement = ack-nhfb, fjournal = "International Journal of Applied Mathematics", journal-URL = "http://www.diogenes.bg/ijam/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cerna:2004:CSC, author = "Dana {\v{C}}ern{\'a} and V{\'a}clav Fin{\v{e}}k", title = "On the computation of scaling coefficients of {Daubechies}' wavelets", journal = "Central European Journal of Mathematics", volume = "2", number = "3", pages = "399--419", year = "2004", DOI = "https://doi.org/10.2478/BF02475237", ISSN = "1644-3616 (print), 1895-1074 (electronic)", ISSN-L = "1644-3616", MRclass = "65T60 (42C40)", MRnumber = "2113541", MRreviewer = "Alexander P. Petukhov", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1076.65126", acknowledgement = ack-nhfb, ajournal = "Cent. Eur. J. Math.", fjournal = "Central European Journal of Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Chen:2004:CAL, author = "Ling Chen and Ru-Shan Wu and Yong Chen", title = "Construction and Application of Local Scattering Matrix Based on Wavefield Extrapolation in {Gabor--Daubechies} Beamlet Domain", journal = "Chinese Journal of Geophysics", volume = "47", number = "2", pages = "322--332", year = "2004", DOI = "https://doi.org/10.1002/cjg2.488", ISSN = "2326-0440", bibdate = "Thu Mar 8 16:59:16 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Beamlet domain prestack migration, Angle domain imaging, Local scattering matrix, Seismic exploration", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Chen:2004:DSA, author = "Duan Chen and Chang Fa Xu and Yang Guang Sun", title = "Delta-sequence approach to solving {PDE} based on {Daubechies} wavelets", journal = "J. Huazhong Univ. Sci. Technol. Nat. Sci.", volume = "32", number = "10", pages = "114--116", year = "2004", ISSN = "1671-4512", MRclass = "35A25 (35K55)", MRnumber = "2121234", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Huazhong University of Science and Technology. Natural Science Edition. Huazhong Keji Daxue Xuebao. Ziran Kexue Ban", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Clonda:2004:CDW, author = "Diego Clonda and J.-M. Lina and Bernard Goulard", title = "Complex {Daubechies} wavelets: Properties and statistical image modelling", journal = j-SIG-PROC, volume = "84", number = "1", pages = "1--23", month = jan, year = "2004", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/j.sigpro.2003.06.001", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", MRclass = "94A08 68U10 42C40", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1145.94303", acknowledgement = ack-nhfb, ajournal = "Signal Process.", fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Finek:2004:DWI, author = "V{\'a}clav Fin{\v{e}}k", title = "{Daubechies} wavelets on intervals with application to {BVPs}", journal = j-APPL-MATH, volume = "49", number = "5", pages = "465--481", year = "2004", CODEN = "APMTEO", DOI = "https://doi.org/10.1023/B:APOM.0000048123.48173.c7", ISSN = "0862-7940 (print), 1572-9109 (electronic)", ISSN-L = "0862-7940", MRclass = "65T60 (34B05 42C40 65N30)", MRnumber = "2086089", MRreviewer = "Karsten Urban", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Applications of Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Finvek:2004:DWI, author = "V{\'a}clav Fin{\v{e}}k", title = "{Daubechies} wavelets on intervals with application to {BVPs}", journal = "Applications of Mathematics, Praha", volume = "49", number = "5", pages = "465--481", year = "2004", DOI = "https://doi.org/10.1023/B:APOM.0000048123.48173.c7", ISSN = "0862-7940 (print), 1572-9109 (electronic)", ISSN-L = "0862-7940", MRclass = "65T60 65N30 34B05", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1099.65146", acknowledgement = ack-nhfb, ajournal = "Appl. Math., Praha", fjournal = "Applications of Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Karam:2004:CDW, author = "Jalal R. Karam", title = "Connecting {Daubechies} wavelet {$ d b8 $} with the {Kakeya--Enestrom} theorem", journal = j-INT-J-APPL-MATH, volume = "14", number = "2", pages = "175--186", year = "2004", ISSN = "1311-1728 (print), 1314-8060 (electronic)", ISSN-L = "1311-1728", MRclass = "42C40", MRnumber = "2057225", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "International Journal of Applied Mathematics", journal-URL = "http://www.diogenes.bg/ijam/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Yamada:2004:HSD, author = "Ioya Yamada and Hisashi Kubota and Akifumi Inui and Yoshihiro Kawaguchi", title = "High Sensitive Distinction of Discharge in Air by {Daubechies} Wavelet Transform", journal = "{IEEJ} Transactions on Power and Energy", volume = "124", number = "12", pages = "1513--1519", year = "2004", DOI = "https://doi.org/10.1541/ieejpes.124.1513", ISSN = "0385-4213 (print), 1348-8147 (electronic)", ISSN-L = "0385-4213", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2005:WID, author = "Anonymous", title = "Wiskundige {Ingrid Daubechies} komt naar {VUB}. ({Dutch}) [{Mathematician Ingrid Daubechies} is coming to the {Free University of Brussels}]", journal = "Het Nieuwsblad", volume = "??", number = "??", pages = "??--??", day = "14", month = jun, year = "2005", bibdate = "Mon Mar 12 12:13:56 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://www.nieuwsblad.be/cnt/gnifk3me", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kovvali:2005:OAA, author = "Narayan Kovvali and Wenbin Lin and Lawrence Carin", title = "Order of accuracy analysis for multiresolution time-domain using {Daubechies} bases", journal = j-MICROW-OPT-TECHNOL-LETT, volume = "45", number = "4", pages = "290--293", year = "2005", CODEN = "MOTLEO", DOI = "https://doi.org/10.1002/mop.20798", ISSN = "1098-2760", ISSN-L = "0895-2477", bibdate = "Thu Mar 08 16:59:58 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Microwave and Optical Technology Letters", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1098-2760", keywords = "multiresolution, time-domain method, numerical methods", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Lin:2005:DAC, author = "Wenbin Lin and Narayan Kovvali and Lawrence Carin", title = "Direct algorithm for computation of derivatives of the {Daubechies} basis functions", journal = j-APPL-MATH-COMP, volume = "170", number = "2", pages = "1006--1013", year = "2005", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2004.12.038", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65T60 (42C20)", MRnumber = "2175263", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1103.65146", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Neelov:2005:ENQ, author = "A. I. Neelov and S. Goedecker", title = "An efficient numerical quadrature for the calculation of the potential energy of wavefunctions expressed in the {Daubechies} wavelet basis", journal = "arXiv.org", volume = "??", number = "??", pages = "1--35", day = "15", month = jun, year = "2005", CODEN = "????", DOI = "https://doi.org/10.1016/j.jcp.2006.01.003", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/physics/0506139", abstract = "An efficient numerical quadrature is proposed for the approximate calculation of the potential energy in the context of pseudo potential electronic structure calculations with Daubechies wavelet and scaling function basis sets. Our quadrature is also applicable in the case of adaptive spatial resolution. Our theoretical error estimates are confirmed by numerical test calculations of the ground state energy and wave function of the harmonic oscillator in one dimension with and without adaptive resolution. As a byproduct we derive a filter, which, upon application on the scaling function coefficients of a smooth function, renders the approximate grid values of this function. This also allows for a fast calculation of the charge density from the wave function.", acknowledgement = ack-nhfb, remark = "35 pages, 9 figures. Submitted to: Journal of Computational Physics.", subject = "Computational Physics (physics.comp-ph)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Paskyabi:2005:WAP, author = "Mostafa Bakhoday Paskyabi and Farzan Rashidi", title = "Wide angle parabolic equation based on one-periodic {Daubechies} wavelet for modelling underwater wave propagation", journal = j-WSEAS-TRANS-MATH, volume = "4", number = "3", pages = "204--211", year = "2005", ISSN = "1109-2769 (print), 2224-2880 (electronic)", ISSN-L = "1109-2769", MRclass = "65M60 (65T60 76B15 76M25)", MRnumber = "2194459", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "WSEAS Trans. Math.", fjournal = "WSEAS Transactions on Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Vonesch:2005:GBD, author = "Cedric Vonesch and Thierry Blu and Michael Unser", editor = "Manos Papadakis and Andrew F. Laine and Michael A. Unser", booktitle = "Wavelets {XI}", title = "Generalized biorthogonal {Daubechies} wavelets", publisher = pub-SPIE, address = pub-SPIE:adr, month = aug, year = "2005", DOI = "https://doi.org/10.1117/12.616536", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Vonesch:2005:GDW, author = "C. Vonesch and Thierry Blu and Michael Unser", booktitle = "Proceedings. ({ICASSP} '05). {IEEE} International Conference on Acoustics, Speech, and Signal Processing, 2005.", title = "Generalized {Daubechies} Wavelets", publisher = pub-IEEE, address = pub-IEEE:adr, year = "2005", DOI = "https://doi.org/10.1109/icassp.2005.1416078", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Wang:2005:NMC, author = "Yong Ge Wang and Li Zhong Peng", title = "A new method of constructing compactly supported and symmetric {Daubechies}'s 3-band wavelet systems", journal = "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue Xuebao", volume = "28", number = "4", pages = "659--667", year = "2005", ISSN = "0254-3079", MRclass = "42C40 (41A63 94A08 94A12)", MRnumber = "2199952", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "Acta Math. Appl. Sin.", fjournal = "Acta Mathematicae Applicatae Sinica. Yingyong Shuxue Xuebao", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Chen:2006:DML, author = "Xuefeng Chen and Zhengjia He and Jiawei Xiang and Bing Li", title = "A dynamic multiscale lifting computation method using {Daubechies} wavelet", journal = j-J-COMPUT-APPL-MATH, volume = "188", number = "2", pages = "228--245", year = "2006", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2005.04.015", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65T60 (42C40)", MRnumber = "2201578", MRreviewer = "Gitta Kutyniok", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1086.65127", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kozbial:2006:ADW, author = "Tomasz Kozbial", title = "Application of {Daubechies} wavelets approximation to plate bending", journal = j-PAMM, volume = "6", number = "1", pages = "231--232", month = dec, year = "2006", DOI = "https://doi.org/10.1002/pamm.200610096", ISSN = "1617-7061", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Proceedings in Applied Mathematics and Mechanics", journal-URL = "http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1617-7061", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Maleknejad:2006:CMH, author = "K. Maleknejad and H. Derili", title = "The collocation method for {Hammerstein} equations by {Daubechies} wavelets", journal = j-APPL-MATH-COMP, volume = "172", number = "2", pages = "846--864", year = "2006", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2005.02.042", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65R20 65T60 45G10", MRnumber = "2200846", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1092.65120", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Neelov:2006:ENQ, author = "A. I. Neelov and S. Goedecker", title = "An efficient numerical quadrature for the calculation of the potential energy of wavefunctions expressed in the {Daubechies} wavelet basis", journal = j-J-COMPUT-PHYS, volume = "217", number = "2", pages = "312--339", month = sep, year = "2006", CODEN = "JCTPAH", DOI = "https://doi.org/10.1016/j.jcp.2006.01.003", ISSN = "0021-9991 (print), 1090-2716 (electronic)", ISSN-L = "0021-9991", MRclass = "65N25 65T60 35Q40 35P15 35J10 65N30 65D30 (41A55 65T60)", MRnumber = "2260604", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1102.65110", acknowledgement = ack-nhfb, fjournal = "Journal of Computational Physics", journal-URL = "http://www.sciencedirect.com/science/journal/00219991", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{WANG:2006:DWC, author = "Yan Wang and De-Qun Liang and Bai-Suo Wang", booktitle = "Wavelet Active Media Technology and Information Processing", title = "{Daubechies} Wavelet Construction Using Continuation Method", publisher = "World Scientific Publishing Company", month = aug, year = "2006", DOI = "https://doi.org/10.1142/9789812772763_0122", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Xu:2006:SAT, author = "Chang Fa Xu and Kai Zhang and Duan Chen and Zhi Fang Min", title = "{$ \delta $}-sequence approach to a two-point boundary value problem using {Daubechies} wavelets", journal = "J. Huazhong Univ. Sci. Technol. Nat. Sci.", volume = "34", number = "5", pages = "40--42", year = "2006", ISSN = "1671-4512", MRclass = "65L10 (65T60)", MRnumber = "2258831", MRreviewer = "Zhong-Hua Yang", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Huazhong University of Science and Technology. Natural Science Edition. Huazhong Keji Daxue Xuebao. Ziran Kexue Ban", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Bagct:2007:CDG, author = "Ulas Bagct and Li Bai", booktitle = "2007 {IEEE} International Conference on Signal Processing and Communications", title = "A Comparison of {Daubechies} and {Gabor} Wavelets for Classification of {MR} Images", publisher = pub-IEEE, address = pub-IEEE:adr, year = "2007", DOI = "https://doi.org/10.1109/icspc.2007.4728409", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Karam:2007:RDP, author = "Jalal Karam", title = "On the roots of {Daubechies} polynomials", journal = j-INT-J-APPL-MATH, volume = "20", number = "8", pages = "1067--1074", year = "2007", ISSN = "1311-1728 (print), 1314-8060 (electronic)", ISSN-L = "1311-1728", MRclass = "42C40 65H05 30C15 42C05", MRnumber = "2379228", MRreviewer = "Tian-Xiao He", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1143.42039", acknowledgement = ack-nhfb, fjournal = "International Journal of Applied Mathematics", journal-URL = "http://www.diogenes.bg/ijam/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Maleknejad:2007:CMI, author = "K. Maleknejad and M. Yousefi and K. Nouri", title = "Computational methods for integrals involving functions and {Daubechies} wavelets", journal = j-APPL-MATH-COMP, volume = "189", number = "2", pages = "1828--1840", year = "2007", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2006.12.064", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65T60 (65R20)", MRnumber = "2332137", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1243.65170", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Vonesch:2007:GDW, author = "C{\'e}dric Vonesch and Thierry Blu and Michael Unser", title = "Generalized {Daubechies} wavelet families", journal = j-IEEE-TRANS-SIG-PROC, volume = "55", number = "9", pages = "4415--4429", year = "2007", CODEN = "ITPRED", DOI = "https://doi.org/10.1109/TSP.2007.896255", ISSN = "1053-587x (print), 1941-0476 (electronic)", ISSN-L = "1053-587X", MRclass = "42C40 (41A30)", MRnumber = "2464454", MRreviewer = "Fran{\c{c}}oise Bastin", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Signal Processing", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=78", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Wang:2007:ACC, author = "Shuzhong Wang", title = "The algorithm for computing connection coefficients with {Daubechies} wavelet", journal = "J. Nat. Sci. Heilongjiang Univ.", volume = "24", number = "3", pages = "403--406", year = "2007", ISSN = "1001-7011", MRclass = "42C40 65T60", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1150.42341", acknowledgement = ack-nhfb, fjournal = "Journal of Natural Science of Heilongjiang University", language = "Chinese", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Xue:2007:SED, author = "Yanbo Xue and Jinkuan Wang and Zhigang Liu", title = "Subbanding {ESPRIT} by {Daubechies} wavelets", journal = "International Journal of Information \& Systems Sciences", volume = "3", number = "4", pages = "623--631", year = "2007", ISSN = "1708-296X", MRclass = "94A12 42C40 94A11", MRnumber = "2345826", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1278.94022", acknowledgement = ack-nhfb, ajournal = "Int. J. Inf. Syst. Sci.", fjournal = "International Journal of Information \& Systems Sciences", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Amat:2008:SLM, author = "Sergio Amat and Mar{\'\i}a Moncayo", title = "{$ l^\infty $}-stability for linear multiresolution algorithms: a new explicit approach. {I}. {The} basic rules and the {Daubechies} case", journal = j-APPL-MATH-COMP, volume = "206", number = "1", pages = "74--91", year = "2008", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2008.08.047", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "42C15 (94A12) 65T60 42C40", MRnumber = "2474946", MRreviewer = "R. A. Zalik", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1163.65103", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2008:ABF, author = "Anonymous", title = "Analysis of Brain Function and Classification of Sleep Stage {EEG} using {Daubechies} Wavelet", journal = "Sensors and Materials", pages = "1", year = "2008", DOI = "https://doi.org/10.18494/sam.2008.478", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, journal-URL = "http://myukk.org/SM2017/index.php?theme=archives", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Genovese:2008:DWBa, author = "Luigi Genovese and Alexey Neelov and Stefan Goedecker and Thierry Deutsch and Seyed Alireza Ghasemi and Alexander Willand and Damien Caliste and Oded Zilberberg and Mark Rayson and Anders Bergman and Reinhold Schneider", title = "{Daubechies} wavelets as a basis set for density functional pseudopotential calculations", journal = "arXiv.org", volume = "??", number = "??", pages = "1--15", day = "16", month = apr, year = "2008", CODEN = "????", DOI = "https://doi.org/10.1063/1.2949547", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in J. Chem. Phys. 129, 014109 (2008)", URL = "https://arxiv.org/abs/0804.2583", abstract = "Daubechies wavelets are a powerful systematic basis set for electronic structure calculations because they are orthogonal and localized both in real and Fourier space. We describe in detail how this basis set can be used to obtain a highly efficient and accurate method for density functional electronic structure calculations. An implementation of this method is available in the ABINIT free software package. This code shows high systematic convergence properties, very good performances and an excellent efficiency for parallel calculations.", acknowledgement = ack-nhfb, remark = "15 pages, 11 figures.", subject = "Materials Science (cond-mat.mtrl-sci)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Genovese:2008:DWBb, author = "Luigi Genovese and Alexey Neelov and Stefan Goedecker and Thierry Deutsch and Seyed Alireza Ghasemi and Alexander Willand and Damien Caliste and Oded Zilberberg and Mark Rayson and Anders Bergman and Reinhold Schneider", title = "{Daubechies} wavelets as a basis set for density functional pseudopotential calculations", journal = j-J-CHEM-PHYS, volume = "129", number = "1", pages = "014109", month = jul, year = "2008", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.2949547", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Mar 09 07:26:03 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Huylebrouck:2008:IMI, author = "Dirk Huylebrouck", title = "Interview met {Ingrid Daubechies}: {De} typische reflex van de wiskundige. ({Dutch}) [{Interview} with {Ingrid Daubechies}: {The} typical reflex of the mathematician]", journal = j-NIEUW-ARCHIEF-WISKUNDE-5, volume = "9", number = "3", pages = "198--203", year = "2008", CODEN = "NAWIA7", ISSN = "0028-9825", MRclass = "01A70 01A80 97A30", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1239.01089", acknowledgement = ack-nhfb, ajournal = "Nieuw Arch. Wiskd. (5)", fjournal = "Nieuw Archief voor Wiskunde. Vijfde Serie", language = "Dutch", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Lelandais:2008:MMP, author = "Fabien Lelandais and Herve Glotin", booktitle = "2008 New Trends for Environmental Monitoring Using Passive Systems", title = "{Mallat}'s Matching Pursuit of sperm whale clicks in real-time using {Daubechies} 15 wavelets", publisher = pub-IEEE, address = pub-IEEE:adr, month = oct, year = "2008", DOI = "https://doi.org/10.1109/passive.2008.4786977", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Liu:2008:DWM, author = "Ya'nan Liu and Yinghua Liu and Zhangzhi Cen", title = "{Daubechies} wavelet meshless method for {$2$-D} elastic problems", journal = "Tsinghua Sci. Technol.", volume = "13", number = "5", pages = "605--608", year = "2008", DOI = "https://doi.org/10.1016/S1007-0214(08)70096-8", ISSN = "1007-0214", MRclass = "65T60 (65N99)", MRnumber = "2459455", MRreviewer = "Thomas K. Huckle", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Tsinghua Science and Technology", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Tay:2008:DWA, author = "D. B. H. Tay", title = "{Daubechies} Wavelets as Approximate Hilbert-Pairs?", journal = j-IEEE-SIGNAL-PROCESS-LETT, volume = "15", pages = "57--60", year = "2008", CODEN = "ISPLEM", DOI = "https://doi.org/10.1109/lsp.2007.910318", ISSN = "1070-9908 (print), 1558-2361 (electronic)", ISSN-L = "1070-9908", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Signal Processing Letters", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=97", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InBook{VanFleet:2008:DWT, author = "Patrick J. {Van Fleet}", booktitle = "Discrete Wavelet Transformations", title = "{Daubechies} Wavelet Transformations", chapter = "7", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "223--280", year = "2008", DOI = "https://doi.org/10.1002/9781118032404.ch7", ISBN = "1-118-03240-3", ISBN-13 = "978-1-118-03240-4", bibdate = "Thu Mar 08 17:03:01 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Haar wavelet transform, Daubechies wavelet transformations, Daubechies filters, lowpass condition, orthogonality conditions", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Zhao:2008:DWA, author = "Yu-lei Zhao and Zhi-qin Ju and Chuang-ming Tong and Wei-jun Zhong", booktitle = "2008 International Conference on Microwave and Millimeter Wave Technology", title = "{Daubechies} wavelets in analyzing grooved wire", publisher = pub-IEEE, address = pub-IEEE:adr, month = apr, year = "2008", DOI = "https://doi.org/10.1109/icmmt.2008.4540496", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Diaz:2009:DWB, author = "Lilliam Alvarez D{\'\i}az and Mar{\'\i}a T. Mart{\'\i}n and Victoria Vampa", title = "{Daubechies} wavelet beam and plate finite elements", journal = j-FINITE-ELEMENTS-ANAL-DESIGN, volume = "45", number = "3", pages = "200--209", year = "2009", CODEN = "FEADEU", DOI = "https://doi.org/10.1016/j.finel.2008.09.006", ISSN = "0168-874X (print), 1872-6925 (electronic)", ISSN-L = "0168-874X", MRclass = "74K10 (65N30 65T60)", MRnumber = "2498988", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Finite Elements in Analysis and Design", journal-URL = "https://www.sciencedirect.com/journal/finite-elements-in-analysis-and-design", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Govaerts:2009:KDCa, author = "Jan Govaerts and Calvin Matondo Bwayi and Olivier Mattelaer", title = "The {Klauder--Daubechies} Construction of the Phase Space Path Integral and the Harmonic Oscillator", journal = "arXiv.org", volume = "??", number = "??", pages = "1--18", day = "6", month = aug, year = "2009", CODEN = "????", DOI = "https://doi.org/10.1088/1751-8113/42/44/445304", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/0908.0805", abstract = "The canonical operator quantisation formulation corresponding to the Klauder-Daubechies construction of the phase space path integral is considered. This formulation is explicitly applied and solved in the case of the harmonic oscillator, thereby illustrating in a manner complementary to Klauder and Daubechies' original work some of the promising features offered by their construction of a quantum dynamics. The Klauder-Daubechies functional integral involves a regularisation parameter eventually taken to vanish, which defines a new physical time scale. When extrapolated to the field theory context, besides providing a new regularisation of short distance divergences, keeping a finite value for that time scale offers some tantalising prospects when it comes to strong gravitational quantum systems.", acknowledgement = ack-nhfb, remark = "18 pages.", subject = "High Energy Physics - Theory (hep-th)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Govaerts:2009:KDCb, author = "Jan Govaerts and Calvin Matondo Bwayi and Olivier Mattelaer", title = "The {Klauder--Daubechies} Construction of the Phase Space Path Integral and the Harmonic Oscillator", journal = j-J-PHYS-A-MATH-THEOR, volume = "42", number = "44", pages = "445304", month = oct, year = "2009", CODEN = "JPAMB5", DOI = "https://doi.org/10.1088/1751-8113/42/44/445304", ISSN = "1751-8113 (print), 1751-8121 (electronic)", ISSN-L = "1751-8113", MRclass = "81S40 (81R30 81S30)", MRnumber = "2551320", MRreviewer = "Vassili N. Kolokol\cprime tsov", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1175.81142", abstract = "The canonical operator quantisation formulation corresponding to the Klauder-Daubechies construction of the phase space path integral is considered. This formulation is explicitly applied and solved in the case of the harmonic oscillator, thereby illustrating in a manner complementary to Klauder and Daubechies' original work some of the promising features offered by their construction of a quantum dynamics. The Klauder-Daubechies functional integral involves a regularisation parameter eventually taken to vanish, which defines a new physical time scale. When extrapolated to the field theory context, besides providing a new regularisation of short distance divergences, keeping a finite value for that time scale offers some tantalising prospects when it comes to strong gravitational quantum systems.", acknowledgement = ack-nhfb, archiveprefix = "arXiv", eprint = "0908.0805", fjournal = "Journal of Physics A: Mathematical and Theoretical", journal-URL = "http://iopscience.iop.org/1751-8121", pagecount = "20", primaryclass = "hep-th", reportnumber = "CP3-09-36", slaccitation = "ARXIV:0908.0805", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Hofer:2009:DWI, author = "Vera Hofer and J{\"u}rgen Pilz and Thorgeir S. Helgason", title = "{Daubechies} Wavelets for Identification of Rock Variants from {IR} Spectra", crossref = "Pilz:2009:IGG", pages = "79--88", year = "2009", DOI = "https://doi.org/10.1007/978-3-540-33236-7_7", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Khare:2009:DCW, author = "Ashish Khare and Uma Shanker Tiwary and Moongu Jeon", title = "{Daubechies} complex wavelet transform based multilevel shrinkage for deblurring of medical images in presence of noise", journal = j-INT-J-WAVELETS-MULTIRESOLUT-INF-PROCESS, volume = "7", number = "5", pages = "587--604", year = "2009", DOI = "https://doi.org/10.1142/S0219691309003100", ISSN = "0219-6913 (print), 1793-690X (electronic)", ISSN-L = "0219-6913", MRclass = "94A08 94A11 42C40", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1175.94019", acknowledgement = ack-nhfb, fjournal = "International Journal of Wavelets, Multiresolution and Information Processing", journal-URL = "https://www.worldscientific.com/worldscinet/ijwmip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Li:2009:CCD, author = "Dengfeng Li and Guochang Wu", title = "Construction of a class of {Daubechies} type wavelet bases", journal = j-CHAOS-SOLITONS-FRACTALS, volume = "42", number = "1", pages = "620--625", month = oct, year = "2009", CODEN = "CSFOEH", DOI = "https://doi.org/10.1016/j.chaos.2009.01.034", ISSN = "0960-0779 (print), 1873-2887 (electronic)", ISSN-L = "0960-0779", MRclass = "42C40", MRnumber = "2543064", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1198.42046", acknowledgement = ack-nhfb, fjournal = "Chaos, Solitons and Fractals", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Rafiee:2009:ADM, author = "J. Rafiee and M. A. Rafiee and N. Prause and P. W. Tse", editor = "Louise Marston", booktitle = "{2009 2nd International Conference on Computer, Control and Communication (IC4 2009): 17--18 February 2009}", title = "Application of {Daubechies 44} in machine fault diagnostics", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "??--??", month = feb, year = "2009", DOI = "https://doi.org/10.1109/ic4.2009.4909247", ISBN = "1-4244-3313-4 (print), 1-4244-3314-2 (CD-ROM), 1-4244-3312-6 (electronic)", ISBN-13 = "978-1-4244-3313-1 (print), 978-1-4244-3314-8 (CD-ROM), 978-1-4244-3312-4 (electronic)", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "IEEE Catalog Number CFP0963.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", pagecount = "6", } @Article{Rodionov:2009:ESDa, author = "E. A. Rodionov and Yu. A. Farkov", title = "Estimates for the smoothness of dyadic orthogonal wavelets of {Daubechies} type", journal = j-MAT-ZAMETKI, volume = "86", number = "3", pages = "429--444", year = "2009", DOI = "https://doi.org/10.1134/S0001434609090144", ISSN = "0025-567X", MRclass = "42C40 (26A16 42C10)", MRnumber = "2591382", MRreviewer = "Pavel Alexandrovich Terekhin", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Rossi\u\i skaya Akademiya Nauk. Matematicheskie Zametki", journal-URL = "http://link.springer.com/journal/11006", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Rodionov:2009:ESDb, author = "E. A. Rodionov and Yu.A. Farkov", title = "Estimates of the smoothness of dyadic orthogonal wavelets of {Daubechies} type", journal = j-MATH-NOTES-ACAD-SCI-USSR, volume = "86", number = "3", pages = "407--421", year = "2009", CODEN = "MTHNB2", DOI = "https://doi.org/10.1134/S0001434609090144", ISSN = "0001-4346 (print), 1573-8876 (electronic)", ISSN-L = "0001-4346", MRclass = "42C40", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1178.42041", acknowledgement = ack-nhfb, ajournal = "Math. Notes", fjournal = "Mathematical Notes", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InBook{Ruch:2009:DDT, author = "David K. Ruch and Patrick J. {Van Fleet}", booktitle = "Wavelet Theory", title = "The Discrete {Daubechies} Transformation and Applications", chapter = "7", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "277--323", year = "2009", DOI = "https://doi.org/10.1002/9781118165652.ch7", ISBN = "1-118-16565-9", ISBN-13 = "978-1-118-16565-2", bibdate = "Thu Mar 8 17:08:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", acknowledgement = ack-nhfb, keywords = "discrete Daubechies transformation, wavelet transform, image compression, signal compression, naive image segmentation", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InBook{Ruch:2009:DSF, author = "David K. Ruch and Patrick J. {Van Fleet}", booktitle = "Wavelet Theory", title = "{Daubechies} Scaling Functions and Wavelets", publisher = pub-WILEY, address = pub-WILEY:adr, pages = "233--276", year = "2009", DOI = "https://doi.org/10.1002/9781118165652.ch6", ISBN = "1-118-16565-9", ISBN-13 = "978-1-118-16565-2", bibdate = "Thu Mar 8 17:08:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "Daubechies scaling functions, wavelets, cascade algorithm, orthogonal translates, coding", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Soman:2009:DLA, author = "K. P. Soman and Arathi T and Mridula Sara Augustine and Arunima S. V.", booktitle = "2009 International Conference on Advances in Computing, Control, and Telecommunication Technologies", title = "Daubechies-Lagarias Algorithm -- A Simplified Approach", publisher = pub-IEEE, address = pub-IEEE:adr, month = dec, year = "2009", DOI = "https://doi.org/10.1109/act.2009.131", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{AlWadi:2010:CBD, author = "S. {Al Wadi} and Mohd Tahir Ismail and Samsul Ariffin Abdul Karim", title = "A comparison between the {Daubechies} wavelet transformation and the {Fast Fourier Transformation} in analyzing insurance time series data", journal = j-FAR-EAST-J-APPL-MATH, volume = "45", number = "1", pages = "53--63", year = "2010", ISSN = "0972-0960", MRclass = "91B84 65T60 62P05 62M10 91B30", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1284.91463", acknowledgement = ack-nhfb, fjournal = "Far East Journal of Applied Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Bhowmik:2010:FDW, author = "Mrinal Kanti Bhowmik and Debotosh Bhattacharjee and Mita Nasipuri and Dipak Kumar Basu and Mahantapas Kundu", title = "Fusion of {Daubechies} Wavelet Coefficients for Human Face Recognition", journal = "arXiv.org", volume = "??", number = "??", pages = "1--7", day = "5", month = jul, year = "2010", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1007.0621", abstract = "In this paper fusion of visual and thermal images in wavelet transformed domain has been presented. Here, Daubechies wavelet transform, called as D2, coefficients from visual and corresponding coefficients computed in the same manner from thermal images are combined to get fused coefficients. After decomposition up to fifth level (Level 5) fusion of coefficients is done. Inverse Daubechies wavelet transform of those coefficients gives us fused face images. The main advantage of using wavelet transform is that it is well-suited to manage different image resolution and allows the image decomposition in different kinds of coefficients, while preserving the image information. Fused images thus found are passed through Principal Component Analysis (PCA) for reduction of dimensions and then those reduced fused images are classified using a multi-layer perceptron. For experiments IRIS Thermal/Visual Face Database was used. Experimental results show that the performance of the approach presented here achieves maximum success rate of 100\% in many cases.", acknowledgement = ack-nhfb, subject = "Computer Vision and Pattern Recognition (cs.CV)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Bhowmik:2010:QBM, author = "Mrinal Kanti Bhowmik and Debotosh Bhattacharjee and Mita Nasipuri and Dipak Kumar Basu and Mahantapas Kundu", title = "Quotient Based Multiresolution Image Fusion of Thermal and Visual Images Using {Daubechies} Wavelet Transform for Human Face Recognition", journal = "arXiv.org", volume = "??", number = "??", pages = "1--10", day = "5", month = jul, year = "2010", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1007.0620", abstract = "This paper investigates the multiresolution level-1 and level-2 Quotient based Fusion of thermal and visual images. In the proposed system, the method-1 namely ``Decompose then Quotient Fuse Level-1'' and the method-2 namely ``Decompose-Reconstruct then Quotient Fuse Level-2'' both work on wavelet transformations of the visual and thermal face images. The wavelet transform is well-suited to manage different image resolution and allows the image decomposition in different kinds of coefficients, while preserving the image information without any loss. This approach is based on a definition of an illumination invariant signature image which enables an analytic generation of the image space with varying illumination. The quotient fused images are passed through Principal Component Analysis (PCA) for dimension reduction and then those images are classified using a multi-layer perceptron (MLP). The performances of both the methods have been evaluated using OTCBVS and IRIS databases. All the different classes have been tested separately, among them the maximum recognition result is 100\%.", acknowledgement = ack-nhfb, subject = "Computer Vision and Pattern Recognition (cs.CV)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Kaiser:2010:DOW, author = "Gerald Kaiser", booktitle = "A Friendly Guide to Wavelets", title = "{Daubechies}' Orthonormal Wavelet Bases", publisher = pub-BIRKHAUSER-BOSTON, address = pub-BIRKHAUSER-BOSTON:adr, pages = "176--199", month = oct, year = "2010", DOI = "https://doi.org/10.1007/978-0-8176-8111-1_8", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Karam:2010:DZD, author = "Jalal Karam", booktitle = "{Recent Researches in Applied Mathematics. 15th WSEAS International Conference on Applied Mathematics (MATH '10), Vouliagmeni, Athens, Greece, December 29--31, 2010}", title = "On the distribution of zeros for {Daubechies} orthogonal wavelets and associated polynomials", publisher = "WSEAS Press", address = "Athens, Greece", pages = "101--104", year = "2010", ISBN = "960-474-263-9 (hardcover), 960-474-266-3 (CD-ROM)", ISBN-13 = "978-960-474-263-9 (hardcover), 978-960-474-266-0 (CD-ROM)", MRclass = "65T60", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1336.65211", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Khare:2010:DMU, author = "Ashish Khare and Manish Khare and Yongyeon Jeong and Hongkook Kim and Moongu Jeon", title = "Despeckling of medical ultrasound images using {Daubechies} complex wavelet transform", journal = j-SIG-PROC, volume = "90", number = "2", pages = "428--439", year = "2010", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/j.sigpro.2009.07.008", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", MRclass = "94A08 94A11 42C40 92C50", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1177.94026", acknowledgement = ack-nhfb, ajournal = "Signal Process.", fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kounchev:2010:PDTa, author = "Ognyan Kounchev and Damyan Kalaglarsky", title = "Polyharmonic {Daubechies} type wavelets in Image Processing and Astronomy, {I}", journal = "arXiv.org", volume = "??", number = "??", pages = "1--6", day = "5", month = jun, year = "2010", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1006.1043", abstract = "We introduce a new family of multivariate wavelets which are obtained by ``polyharmonic subdivision''. They generalize directly the original compactly supported Daubechies wavelets.", acknowledgement = ack-nhfb, remark = "6 pages, prepared for the ACM proceedings of CompSysTech 2010.", subject = "Numerical Analysis (math.NA); Numerical Analysis (cs.NA)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kounchev:2010:PDTb, author = "Ognyan Kounchev and Damyan Kalaglarsky and Milcho Tsvetkov", title = "Polyharmonic {Daubechies} type wavelets in Image Processing and Astronomy, {II}", journal = "arXiv.org", volume = "??", number = "??", pages = "1--9", day = "29", month = jun, year = "2010", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", URL = "https://arxiv.org/abs/1006.5739", abstract = "We consider the application of the polyharmonic subdivision wavelets (of Daubechies type) to Image Processing, in particular to Astronomical Images. The results show an essential advantage over some standard multivariate wavelets and a potential for better compression.", acknowledgement = ack-nhfb, remark = "9 pages.", subject = "Numerical Analysis (math.NA); Computer Vision and Pattern Recognition (cs.CV)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Liu:2010:DWB, author = "Yanan Liu and Fei Qin and Yinghua Liu and Zhangzhi Cen", title = "A {Daubechies} wavelet-based method for elastic problems", journal = j-ENG-ANAL-BOUND-ELEM, volume = "34", number = "2", pages = "114--121", year = "2010", DOI = "https://doi.org/10.1016/j.enganabound.2009.08.004", ISSN = "0955-7997 (print), 1873-197x (electronic)", ISSN-L = "0955-7997", MRclass = "65N30 (65T60 74B05 74K20) 74S30 74B05 65T60", MRnumber = "2574674", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1244.74225", acknowledgement = ack-nhfb, fjournal = "Engineering Analysis with Boundary Elements", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Liu:2010:LDA, author = "Yanan Liu and Fei Qin and Yinghua Liu and Zhangzhi Cen", title = "The {$2$D} large deformation analysis using {Daubechies} wavelet", journal = j-COMPUT-MECH, volume = "45", number = "2--3", pages = "179--187", year = "2010", CODEN = "CMMEEE", DOI = "https://doi.org/10.1007/s00466-009-0433-0", ISSN = "0178-7675 (print), 1432-0924 (electronic)", ISSN-L = "0178-7675", MRclass = "74A05 (65T60)", MRnumber = "2576094", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Computational Mechanics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Satiyan:2010:CPU, author = "M. Satiyan and M. Hariharan and R. Nagarajan", editor = "Mohd Nasir Taib and Ramli Adnan and Abd Manan Samad and Nooritawati Md Tahir and Mohd Hezri Fazalul Rahiman", booktitle = "{2010 6th International Colloquium on Signal Processing \& its Applications (CSPA 2010): 21--23 May 2010, Mahkota Hotel, Melaka, Malaysia}", title = "Comparison of performance using {Daubechies} Wavelet family for facial expression recognition", publisher = pub-IEEE, address = pub-IEEE:adr, bookpages = "xiii + 387", pages = "354--358", month = may, year = "2010", DOI = "https://doi.org/10.1109/CSPA.2010.5545262", ISBN = "1-4244-7122-2, 1-4244-7121-4 (print), 1-4244-7120-6 (online)", ISBN-13 = "978-1-4244-7122-5, 978-1-4244-7121-8 (print), 978-1-4244-7120-1 (online)", LCCN = "TK5102.9", URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=5504579", bibdate = "Mon Mar 12 06:06:10 MDT 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Wadi:2010:CBD, author = "S. {Al Wadi} and Mohd Tahir Ismail and Samsul Ariffin Abdul Karim", title = "A comparison between the {Daubechies} wavelet transformation and the fast {Fourier} transformation in analyzing insurance time series data", journal = j-FAR-EAST-J-APPL-MATH, volume = "45", number = "1", pages = "53--63", year = "2010", ISSN = "0972-0960", MRclass = "42C40 (62M10 62P05 91B30 91B84)", MRnumber = "2762432", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Far East Journal of Applied Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Xie:2010:SWN, author = "Yanbin Xie and Ju Tang and Qian Zhou", title = "Suppressing white-noise in partial discharge measurements. {Part 1}: Construction of complex {Daubechies} wavelet and complex threshold", journal = "European Transactions on Electrical Power", volume = "20", number = "6", pages = "800--810", year = "2010", DOI = "https://doi.org/10.1002/etep.364", ISSN = "1430-144X (print), 1546-3109 (electronic)", ISSN-L = "1430-144X", bibdate = "Thu Mar 8 17:05:50 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, keywords = "partial discharge (PD), complex Daubechies wavelet (CDW), complex threshold, combined information", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Yoshino:2010:ACA, author = "Kunio Yoshino", title = "Analytic continuation and applications of eigenvalues of {Daubechies}' localization operator", journal = "Cubo", volume = "12", number = "3", pages = "203--212", year = "2010", DOI = "https://doi.org/10.4067/S0719-06462010000300013", ISSN = "0716-7776 (print), 0719-0646 (electronic)", ISSN-L = "0716-7776", MRclass = "42B10 42C15 42C40 44A15", MRnumber = "2779382", MRreviewer = "Isabel Marrero", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1220.42009", acknowledgement = ack-nhfb, fjournal = "Cubo. A Mathematical Journal", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Anonymous:2011:DDT, author = "Anonymous", booktitle = "Wavelet Theory", title = "The Discrete {Daubechies} Transformation and Applications", publisher = "John Wiley {\&} Sons, Inc.", pages = "277--323", month = sep, year = "2011", DOI = "https://doi.org/10.1002/9781118165652.ch7", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Anonymous:2011:DSF, author = "Anonymous", booktitle = "Wavelet Theory", title = "{Daubechies} Scaling Functions and Wavelets", publisher = "John Wiley {\&} Sons, Inc.", pages = "233--276", month = sep, year = "2011", DOI = "https://doi.org/10.1002/9781118165652.ch6", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Anonymous:2011:DW, author = "Anonymous", title = "{Daubechies} wavelet", howpublished = "Wikipedia article", year = "2011", bibdate = "Tue Mar 13 08:43:55 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://en.wikipedia.org/wiki/Daubechies_wavelet", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Anonymous:2011:DWT, author = "Anonymous", booktitle = "Discrete Wavelet Transformations", title = "{Daubechies} Wavelet Transformations", publisher = "John Wiley {\&} Sons, Inc.", pages = "223--280", month = mar, year = "2011", DOI = "https://doi.org/10.1002/9781118032404.ch7", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2011:SPH, author = "Anonymous", title = "{2011 Steele Prizes [Henryk Iwaniec, Ingrid Daubechies, John W. Milnor]}", journal = j-NAMS, volume = "58", number = "4", pages = "593--596", month = apr, year = "2011", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Sat Mar 10 16:57:03 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.ams.org/notices/201104/rtx110400593p.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Bettaibi:2011:ADL, author = "N{\'e}ji Bettaibi and Jilani Alaya and Moufida Elgu{\'e}nichi", title = "On a {$q$}-analogue of the {Daubechies--Lagarias} two-scale equation", journal = "Mathematical Sciences Research Journal", volume = "15", number = "4", pages = "91--103", year = "2011", ISSN = "1537-5978", MRclass = "42C40 (39A13) 33D05", MRnumber = "2816187", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1231.42035", acknowledgement = ack-nhfb, ajournal = "Math. Sci. Res. J.", fjournal = "Mathematical Sciences Research Journal. An International Journal of Rapid Publication", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Cook:2011:ICD, author = "Mariana Cook", title = "{Ingrid Chantal Daubechies}", journal = j-MDMV, volume = "19", number = "1", pages = "34--35", year = "2011", DOI = "https://doi.org/10.1515/dmvm-2011-0017", ISSN = "0947-4471", MRclass = "01A70", MRnumber = "2830402", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Mitteilungen der Deutschen Mathematiker-Vereinigung", journal-URL = "http://www.degruyter.com/view/j/dmvm", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Ding:2011:ADW, author = "Fang Ding and Tianjie Cao", editor = "{IEEE}", booktitle = "{Proceedings of the 2011 Second International Conference on Digital Manufacturing \& Automation (ICDMA 2011): 5--7 August 2011, Zhangjiajie, Hunan, China}", title = "Application of {Daubechies} Wavelet Transform in the Estimation of Standard Deviation of White Noise", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "212--215", month = aug, year = "2011", DOI = "https://doi.org/10.1109/icdma.2011.59", ISBN = "1-4577-0755-1 (print), 0-7695-4455-X", ISBN-13 = "978-1-4577-0755-1 (print), 978-0-7695-4455-7", LCCN = "TA345; TS183", bibdate = "Mon Mar 12 06:06:10 MDT 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "IEEE Computer Society Order Number E4455.", URL = "http://ieeexplore.ieee.org/servlet/opac?punumber=6050153", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Dominguez-Jimenez:2011:SEP, author = "Mar{\'\i}a Elena Dom{\'\i}nguez-Jim{\'e}nez and Paulo J. S. G. {Ferreira}", title = "Some extremal properties of {Daubechies} filters and other orthonormal filters", journal = j-SIG-PROC, volume = "91", number = "1", pages = "85--89", year = "2011", CODEN = "SPRODR", DOI = "https://doi.org/10.1016/j.sigpro.2010.06.011", ISSN = "0165-1684 (print), 1872-7557 (electronic)", ISSN-L = "0165-1684", MRclass = "94A12", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1203.94027", acknowledgement = ack-nhfb, ajournal = "Signal Process.", fjournal = "Signal Processing", journal-URL = "http://www.sciencedirect.com/science/journal/01651684", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Ephremidze:2011:ADW, author = "Lasha Ephremidze and Aleksander Gamkrelidze and Edem Lagvilava", title = "An approximation of {Daubechies} wavelet matrices by perfect reconstruction filter banks with rational coefficients", journal = "arXiv.org", volume = "??", number = "??", pages = "1--10", day = "27", month = jun, year = "2011", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1106.5439", abstract = "It is described how the coefficients of Daubechies wavelet matrices can be approximated by rational numbers in such a way that the perfect reconstruction property of the filter bank be preserved exactly.", acknowledgement = ack-nhfb, remark = "10 pages.", subject = "Numerical Analysis (math.NA)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gao:2011:RAE, author = "Qiang-ye Gao and Jian-jiang Zhou and Qun-sheng Cao", title = "Research and Application to Electromagnetic Scattering of Conformal {MRTD} Method Based on {Daubechies} Scaling Functions", journal = "Journal of Electronics {\&} Information Technology", volume = "33", number = "1", pages = "136--141", month = mar, year = "2011", DOI = "https://doi.org/10.3724/sp.j.1146.2010.00271", ISSN = "1009-5896", ISSN-L = "1009-5896", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Genovese:2011:DWH, author = "Luigi Genovese and Brice Videau and Matthieu Ospici and Thierry Deutsch and Stefan Goedecker and Jean-Fran{\c{c}}ois M{\'e}haut", title = "{Daubechies} wavelets for high performance electronic structure calculations: the {BigDFT} project", journal = "Comptes Rendus. M{\'e}canique. Acad{\'e}mie des Sciences, Paris", volume = "339", number = "2--3", pages = "149--164", year = "2011", DOI = "https://doi.org/10.1016/j.crme.2010.12.003", ISSN = "1631-0721 (print), 1873-7234 (electronic)", MRclass = "82-08 65T60 65Y05", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1221.82009", acknowledgement = ack-nhfb, ajournal = "C. R., M{\'e}c., Acad. Sci. Paris", fjournal = "Comptes Rendus. M{\'e}canique. Acad{\'e}mie des Sciences, Paris", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gregoor:2011:BVI, author = "Ralph Gregoor", title = "{Burgemeester verrast internationaal bekende wiskundige Ingrid Daubechies krijgt straat in geboortedorp}. ({Dutch}) [{Mayor} surprises internationally known mathematician: {Ingrid Daubechies} gets a street in birth village]", journal = "Het Nieuwsblad", volume = "??", number = "??", pages = "??--??", day = "7", month = jul, year = "2011", bibdate = "Mon Mar 12 12:13:08 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://www.nieuwsblad.be/cnt/ef3ce3u4", acknowledgement = ack-nhfb, language = "Dutch", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Khalid:2011:WAH, author = "Azra Khalid and Uzma Afsheen and Saad Umer Baig", booktitle = "International Conference on Graphic and Image Processing ({ICGIP} 2011)", title = "Wavelet analysis and high quality {JPEG2000} compression using {Daubechies} wavelet", publisher = pub-SPIE, address = pub-SPIE:adr, month = oct, year = "2011", DOI = "https://doi.org/10.1117/12.913401", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Li:2011:DWM, author = "Ying Li and Maohui Xia and Kai Dong and Hongling Shen", booktitle = "2011 International Conference on Multimedia Technology", title = "{Daubechies} wavelet meshless method of numerical calculation in the electromagnetic field", publisher = pub-IEEE, address = pub-IEEE:adr, month = jul, year = "2011", DOI = "https://doi.org/10.1109/icmt.2011.6002449", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Liu:2011:MSD, author = "Yanan Liu and Yinghua Liu and Zhangzhi Cen", title = "Multi-scale {Daubechies} wavelet-based method for {$2$-D} elastic problems", journal = j-FINITE-ELEMENTS-ANAL-DESIGN, volume = "47", number = "4", pages = "334--341", year = "2011", CODEN = "FEADEU", DOI = "https://doi.org/10.1016/j.finel.2010.11.004", ISSN = "0168-874X (print), 1872-6925 (electronic)", ISSN-L = "0168-874X", MRclass = "74G15 (65N30 65T60 74B05)", MRnumber = "2749456", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Finite Elements in Analysis and Design", journal-URL = "https://www.sciencedirect.com/journal/finite-elements-in-analysis-and-design", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Moraru:2011:NUI, author = "Luminita Moraru and Simona Moldovanu and Mariana Carmen Nicolae and Madalin Bunoiu and Iosif Malaescu", title = "De-Noising Ultrasound Images of Colon Tumors Using {Daubechies} Wavelet Transform", journal = j-AIP-CONF-PROC, volume = "1387", pages = "294--??", year = "2011", CODEN = "APCPCS", DOI = "https://doi.org/10.1063/1.3647090", ISSN = "0094-243X (print), 1551-7616 (electronic), 1935-0465", ISSN-L = "0094-243X", bibdate = "Sat Mar 10 13:08:54 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "AIP Conference Proceedings", journal-URL = "http://scitation.aip.org/content/aip/proceeding/aipcp", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Panja:2011:NOP, author = "M. M. Panja and B. N. Mandal", title = "A note on one-point quadrature formula for {Daubechies} scale function with partial support", journal = j-APPL-MATH-COMP, volume = "218", number = "8", pages = "4147--4151", year = "2011", CODEN = "AMHCBQ", DOI = "https://doi.org/10.1016/j.amc.2011.09.045", ISSN = "0096-3003 (print), 1873-5649 (electronic)", ISSN-L = "0096-3003", MRclass = "65D32 41A55 65T60", MRnumber = "2862085", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1244.65039", acknowledgement = ack-nhfb, fjournal = "Applied Mathematics and Computation", journal-URL = "http://www.sciencedirect.com/science/journal/00963003", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Srivastava:2011:MTW, author = "Madhur Srivastava and Yashwant Yashu and Satish K. Singh and Prasanta K. Panigrahi", editor = "????", booktitle = "Proceedings in Signal Processing and Real Time Operating System (SPRTOS), March 26--27, 2011", title = "Multisegmentation through wavelets: Comparing the efficacy of {Daubechies} vs {Coiflets}", publisher = "????", address = "????", pages = "??--??", year = "2011", bibdate = "Fri Mar 09 07:16:31 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Wahid:2011:LCI, author = "Khan Wahid", booktitle = "Discrete Wavelet Transforms - Algorithms and Applications", title = "Low Complexity Implementation of {Daubechies} Wavelets for Medical Imaging Applications", publisher = "{InTech}", month = aug, year = "2011", DOI = "https://doi.org/10.5772/20467", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Wang:2011:DFB, author = "Le Wang and G. Pan", booktitle = "2011 {IEEE} International Symposium on Antennas and Propagation ({APSURSI})", title = "{Daubechies} framework based {Diffracted Gaussian} beam approach on parallel computing platforms", publisher = pub-IEEE, address = pub-IEEE:adr, month = jul, year = "2011", DOI = "https://doi.org/10.1109/aps.2011.5997038", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Wong:2011:DW, author = "M. W. Wong", booktitle = "Discrete Fourier Analysis", title = "{Daubechies} Wavelets", publisher = "Springer Basel", pages = "79--86", year = "2011", DOI = "https://doi.org/10.1007/978-3-0348-0116-4_12", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2012:DAN, author = "Anonymous", title = "{Daubechies} awarded {Nemmers Prize}", journal = j-NAMS, volume = "59", number = "7", pages = "962", year = "2012", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", MRclass = "01A70", MRnumber = "2984989", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Dyn:2012:RGD, author = "N. Dyn and O. Kounchev and D. Levin and H. Render", title = "Regularity of generalized {Daubechies} wavelets reproducing exponential polynomials", journal = "arXiv.org", volume = "??", number = "??", pages = "1--27", day = "30", month = oct, year = "2012", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1210.7938", abstract = "We investigate non-stationary orthogonal wavelets based on a non-stationary interpolatory subdivision scheme reproducing a given set of exponentials. The construction is analogous to the construction of Daubechies wavelets using the subdivision scheme of Deslauriers-Dubuc. The main result is the smoothness of these Daubechies type wavelets.", acknowledgement = ack-nhfb, subject = "Numerical Analysis (math.NA); Classical Analysis and ODEs (math.CA)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gupta:2012:MUI, author = "Rishu Gupta and I. Elamvazuthi and P. Vasant", title = "Musculoskeletal ultrasound image denoising using {Daubechies} wavelets", journal = j-AIP-CONF-PROC, volume = "1499", pages = "263--??", year = "2012", CODEN = "APCPCS", DOI = "https://doi.org/10.1063/1.4768998", ISSN = "0094-243X (print), 1551-7616 (electronic), 1935-0465", ISSN-L = "0094-243X", bibdate = "Sat Mar 10 13:08:54 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "AIP Conference Proceedings", journal-URL = "http://scitation.aip.org/content/aip/proceeding/aipcp", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Karam:2012:RDP, author = "Jalal Karam and Samer E. Mansour", booktitle = "2012 International Conference on Communications and Information Technology ({ICCIT})", title = "On the roots of {Daubechies} polynomials for Biorthogonal wavelets", publisher = pub-IEEE, address = pub-IEEE:adr, month = jun, year = "2012", DOI = "https://doi.org/10.1109/iccitechnol.2012.6285823", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Necula:2012:TAF, author = "V. Necula and S. Klimenko and G. Mitselmakher", booktitle = "{Gravitational waves. Numerical relativity --- data analysis. Proceedings, 9th Edoardo Amaldi Conference, Amaldi 9, and meeting, NRDA 2011, Cardiff, UK, July 10--15, 2011}", title = "Transient analysis with fast {Wilson--Daubechies} time-frequency transform", journal = j-J-PHYS-CONF-SER, volume = "363", pages = "012032", year = "2012", CODEN = "JPCSDZ", DOI = "https://doi.org/10.1088/1742-6596/363/1/012032", ISSN = "1742-6588 (print), 1742-6596 (electronic)", ISSN-L = "1742-6588", bibdate = "Thu Mar 8 16:42:17 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Physics: Conference Series", journal-URL = "http://www.iop.org/EJ/journal/conf", slaccitation = "00462,363,012032", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Nievergelt:2012:ADW, author = "Yves Nievergelt", booktitle = "Wavelets Made Easy", title = "Algorithms for {Daubechies} Wavelets", publisher = "Springer New York", pages = "73--113", month = oct, year = "2012", DOI = "https://doi.org/10.1007/978-1-4614-6006-0_3", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Qixiang:2012:CMS, author = "Yang Qixiang", title = "Characterization of Multiplier Spaces with {Daubechies} Wavelets", journal = "Acta Mathematica Scientia", volume = "32", number = "6", pages = "2315--2321", month = nov, year = "2012", DOI = "https://doi.org/10.1016/s0252-9602(12)60181-7", ISSN = "0252-9602", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Safari:2012:FTD, author = "Azadeh Safari and Yinan Kong", booktitle = "2012 International Symposium on Communications and Information Technologies ({ISCIT})", title = "Four tap {Daubechies} filter banks based on {RNS}", publisher = pub-IEEE, address = pub-IEEE:adr, month = oct, year = "2012", DOI = "https://doi.org/10.1109/iscit.2012.6381042", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Sengupta:2012:SAI, author = "Madhumita Sengupta and J. K. Mandal", title = "Self Authentication of image through {Daubechies} Transform technique {(SADT)}", journal = "arXiv.org", volume = "??", number = "??", pages = "1--4", day = "9", month = dec, year = "2012", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/cryptography2010.bib", URL = "https://arxiv.org/abs/1212.1863", abstract = "In this paper a $ 4 \times 4 $ Daubechies transform based authentication technique termed as SADT has been proposed to authenticate gray scale images. The cover image is transformed into the frequency domain using $ 4 \times 4 $ mask in a row major order using Daubechies transform technique, resulting four frequency subbands AF, HF, VF and DF. One byte of every band in a mask is embedding with two or four bits of secret information. Experimental results are computed and compared with the existing authentication techniques like Li's method [5], SCDFT [6], Region-Based method [7] and other similar techniques based on Mean Square Error (MSE), Peak Signal to Noise Ratio (PSNR) and Image Fidelity (IF), which shows better performance in SADT.", acknowledgement = ack-nhfb, remark = "4 page paper in 47th Annual National Convention of COMPUTER SOCIETY OF INDIA, The First International Conference on Intelligent Infrastructure, CSI-2012, held during 1st and 2nd December, 2012 at science city, Kolkata.", subject = "Cryptography and Security (cs.CR); Computer Vision and Pattern Recognition (cs.CV)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Srivastava:2012:MTW, author = "Madhur Srivastava and Yashwant Yashu and Satish K. Singh and Prasanta K. Panigrahi", title = "Multisegmentation through wavelets: Comparing the efficacy of {Daubechies} vs {Coiflets}", journal = "arXiv.org", volume = "??", number = "??", pages = "1--4", day = "20", month = jul, year = "2012", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Proceedings in Signal Processing and Real Time Operating System (SPRTOS), March 26--27, 2011.", URL = "https://arxiv.org/abs/1207.5007", abstract = "In this paper, we carry out a comparative study of the efficacy of wavelets belonging to Daubechies and Coiflet family in achieving image segmentation through a fast statistical algorithm.The fact that wavelets belonging to Daubechies family optimally capture the polynomial trends and those of Coiflet family satisfy mini-max condition, makes this comparison interesting. In the context of the present algorithm, it is found that the performance of Coiflet wavelets is better, as compared to Daubechies wavelet.", acknowledgement = ack-nhfb, remark = "4 pages.", subject = "Computer Vision and Pattern Recognition (cs.CV)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Yang:2012:CMS, author = "Qixiang Yang", title = "Characterization of multiplier spaces with {Daubechies} wavelets", journal = "Acta Mathematica Scientia. Series B. (English Edition)", volume = "32", number = "6", pages = "2315--2321", year = "2012", DOI = "https://doi.org/10.1016/S0252-9602(12)60181-7", ISSN = "0252-9602", MRclass = "42B20 42C40", MRnumber = "2989418", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1289.42062", acknowledgement = ack-nhfb, ajournal = "Acta Math. Sci., Ser. B, Engl. Ed.", fjournal = "Acta Mathematica Scientia. Series B. (English Edition)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Ababneh:2013:HDW, author = "Faisal Ababneh and S. {Al Wadi} and Mohd Tahir Ismail", title = "{Haar} and {Daubechies} wavelet methods in modeling banking sector", journal = "International Mathematical Forum", volume = "8", number = "9--12", pages = "551--566", year = "2013", DOI = "https://doi.org/10.12988/imf.2013.13056", ISSN = "1312-7594 (print), 1314-7536 (electronic)", ISSN-L = "1312-7594", MRclass = "91G70 91B84 42C40 62M10 62P05", MRnumber = "3040736", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1283.91197", acknowledgement = ack-nhfb, ajournal = "Int. Math. Forum", fjournal = "International Mathematical Forum. Journal for Theory and Applications", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Kehoe:2013:DMR, author = "Elaine Kehoe", title = "{Daubechies} and {Mumford} Receive {BBVA Foundation Award}", journal = j-NAMS, volume = "60", number = "5", pages = "603--604", month = may, year = "2013", bibdate = "Mon Mar 12 17:54:45 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.ams.org/notices/201305/rnoti-p603.pdf", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Arai:2013:MDH, author = "Kohei Arai", title = "Method for data hiding based on {LeGall} 5/3 ({Cohen--Daubechies--Feauveau}: {CDF} 5/3) wavelet with data compression and random scanning of secret imagery data", journal = j-INT-J-WAVELETS-MULTIRESOLUT-INF-PROCESS, volume = "11", number = "4", pages = "1360006, 18", year = "2013", CODEN = "IJWMIP", DOI = "https://doi.org/10.1142/S0219691313600060", ISSN = "0219-6913 (print), 1793-690X (electronic)", ISSN-L = "0219-6913", MRclass = "94A60 (42C40 65T60 94A08 94A62)", MRnumber = "3081432", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/cryptography2010.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", acknowledgement = ack-nhfb, ajournal = "Int. J. Wavelets Multiresolut. Inf. Process.", fjournal = "International Journal of Wavelets, Multiresolution and Information Processing", journal-URL = "https://www.worldscientific.com/worldscinet/ijwmip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Asadzadeh:2013:ECD, author = "M. Asadzadeh and E. Hashemi and A. Kozakevicius", title = "Efficiency of combined {Daubechies} and statistical parameters applied in mammography", journal = "Applied and Computational Mathematics", volume = "12", number = "3", pages = "289--305", year = "2013", ISSN = "1683-3511", MRclass = "92C50 (65T60 68U10 97K80 97M60)", MRnumber = "3115127", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "Appl. Comput. Math.", fjournal = "Applied and Computational Mathematics. An International Journal", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Dishabi:2013:ITP, author = "Mohammad Reza Ebrahimi Dishabi and Mohammad Abdollahi Azgomi and Amir Masoud Rahmani", title = "An improved technique for privacy preserving clustering based on {Daubechies-2} wavelet transform", journal = j-INT-J-WAVELETS-MULTIRESOLUT-INF-PROCESS, volume = "11", number = "5", pages = "1350039, 42", year = "2013", CODEN = "IJWMIP", DOI = "https://doi.org/10.1142/S0219691313500392", ISSN = "0219-6913 (print), 1793-690X (electronic)", ISSN-L = "0219-6913", MRclass = "65T60 (68P99) 68T05 42C40", MRnumber = "3117889", MRreviewer = "Manfred Tasche", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1276.68133", acknowledgement = ack-nhfb, ajournal = "Int. J. Wavelets Multiresolut. Inf. Process.", fjournal = "International Journal of Wavelets, Multiresolution and Information Processing", journal-URL = "https://www.worldscientific.com/worldscinet/ijwmip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Ephremidze:2013:ADW, author = "L. Ephremidze and A. Gamkrelidze and E. Lagvilava", title = "An approximation of {Daubechies} wavelet matrices by perfect reconstruction filter banks with rational coefficients", journal = j-ADV-COMPUT-MATH, volume = "38", number = "1", pages = "147--158", year = "2013", CODEN = "ACMHEX", DOI = "https://doi.org/10.1007/s10444-011-9232-1", ISSN = "1019-7168 (print), 1572-9044 (electronic)", ISSN-L = "1019-7168", MRclass = "65T60 (42C40)", MRnumber = "3011336", MRreviewer = "Hermann Render", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1262.42018", acknowledgement = ack-nhfb, fjournal = "Advances in Computational Mathematics", journal-URL = "http://link.springer.com/journal/10444", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Madishetty:2013:VAT, author = "Shiva Kumar Madishetty and Arjuna Madanayake and Renato J. Cintra and Vassil S. Dimitrov and Dale H. Mugler", title = "{VLSI} architectures for the 4-tap and 6-tap {$2$-D} {Daubechies} wavelet filters using algebraic integers", journal = j-IEEE-TRANS-CIRCUITS-SYST-1, volume = "60", number = "6", pages = "1455--1468", year = "2013", DOI = "https://doi.org/10.1109/TCSI.2012.2221171", ISSN = "1549-8328 (print), 1558-0806 (electronic)", ISSN-L = "1549-8328", MRclass = "94A12", MRnumber = "3072009", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "IEEE Transactions on Circuits and Systems. I. Regular Papers", journal-URL = "http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=8919", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{NiranjanaMurthy:2013:ESD, author = "H. S. NiranjanaMurthy and M. Meenakshi", title = "{ECG} Signal Denoising and Ischemic Event Feature Extraction using {Daubechies} Wavelets", journal = "International Journal of Computer Applications", volume = "67", number = "2", pages = "29--33", month = apr, year = "2013", DOI = "https://doi.org/10.5120/11369-6630", ISSN = "0975-8887", ISSN-L = "0975-8887", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Pahlavan:2013:SFF, author = "Lotfollah Pahlavan and Christos Kassapoglou and Zafer G{\"u}rdal", title = "Spectral formulation of finite element methods using {Daubechies} compactly-supported wavelets for elastic wave propagation simulation", journal = j-WAVE-MOTION, volume = "50", number = "3", pages = "558--578", year = "2013", CODEN = "WAMOD9", DOI = "https://doi.org/10.1016/j.wavemoti.2012.12.006", ISSN = "0165-2125 (print), 1878-433x (electronic)", ISSN-L = "0165-2125", MRclass = "65M70 (65M60 65T60)", MRnumber = "3039543", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Wave Motion. An International Journal Reporting Research on Wave Phenomena", journal-URL = "http://www.sciencedirect.com/science/journal/01652125", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Panja:2013:DSF, author = "M. M. Panja and B. N. Mandal", title = "{Daubechies} scale function based quadrature rules for singular and hypersingular integrals with variable singularities", journal = "Investigations in Mathematical Sciences", volume = "3", number = "1", pages = "155--176", year = "2013", ISSN = "2250-1436", MRclass = "42C40 65T60", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1304.42094", acknowledgement = ack-nhfb, ajournal = "Investig. Math. Sci.", fjournal = "Investigations in Mathematical Sciences", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Panja:2013:SSK, author = "M. M. Panja and B. N. Mandal", title = "Solution of second kind integral equation with {Cauchy} type kernel using {Daubechies} scale function", journal = j-J-COMPUT-APPL-MATH, volume = "241", pages = "130--142", year = "2013", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2012.09.028", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65R20 (45B05 65T60)", MRnumber = "2994426", MRreviewer = "Bruno Carpentieri", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1258.65110", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Singh:2013:PAD, author = "Raj Ranjan Singh", title = "Performance Analysis of {Daubechies} Wavelet in Image Deblurring and Denoising", journal = "IOSR Journal of Engineering (IOSRJEN)", volume = "3", number = "1", pages = "1--5", month = jan, year = "2013", DOI = "https://doi.org/10.9790/3021-03130105", ISSN = "2278-8719 (print), 2250-3021 (electronic)", ISSN-L = "2250-3021", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Sumainna:2013:ITW, author = "Suma'inna Suma'inna and Gugun Gumilar", title = "Implementasi Transformasi Wavelet {Daubechies} pada Kompresi Citra Digital", journal = "Cauchy", volume = "2", number = "4", pages = "211", month = may, year = "2013", DOI = "https://doi.org/10.18860/ca.v2i4.3117", ISSN = "2086-0382 (print), 2477-3344 (electronic)", ISSN-L = "2086-0382", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Varanis:2013:EPP, author = "Marcus V. M. Varanis and Robson Pederiva", booktitle = "Proceeding Series of the {Brazilian Society of Computational and Applied Mathematics}", title = "Extra{\c{c}}{\~a}o de par{\^a}metros para classifica{\c{c}}{\~a}o de falhas em motores el{\'e}tricos utilizando banco de filtros {Daubechies}. ({Portuguese}) [{Extraction} of parameters for classification of motor failures using the {Daubechies} filter bank.]", publisher = "{SBMAC: Sociedade de Matem{\'a}tica Aplicada e Computacional}", address = "S{\~a}o Carlos, Brasil", month = oct, year = "2013", DOI = "https://doi.org/10.5540/03.2013.001.01.0147", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, language = "Portuguese", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Anonymous:2014:MW, author = "Anonymous", title = "Maths is (also) for women", howpublished = "Web interview.", day = "29", month = jul, year = "2014", bibdate = "Sat Mar 10 17:12:08 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://twas.org/article/maths-also-women", abstract = "A common prejudice holds that women can't match the strength of men in mathematics. But for more than three decades, Belgian physicist\slash mathematician Ingrid Daubechies has been proving the prejudice wrong --- and using maths to make a better world.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Arvinti:2014:PDM, author = "B. Arvinti and M. Costache", booktitle = "2014 11th International Symposium on Electronics and Telecommunications ({ISETC})", title = "The performance of the {Daubechies} mother wavelets on {ECG} compression", publisher = pub-IEEE, address = pub-IEEE:adr, month = nov, year = "2014", DOI = "https://doi.org/10.1109/isetc.2014.7010808", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Balachandran:2014:DAH, author = "Athira Balachandran and M. Ganesan and E. P. Sumesh", booktitle = "2014 International Conference on Green Computing Communication and Electrical Engineering ({ICGCCEE})", title = "{Daubechies} algorithm for highly accurate {ECG} feature extraction", publisher = pub-IEEE, address = pub-IEEE:adr, month = mar, year = "2014", DOI = "https://doi.org/10.1109/icgccee.2014.6922266", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Davari:2014:ADW, author = "A. Davari and M. Torabi", title = "Application of {Daubechies} wavelets for solving {Kuramoto--Sivashinsky} type equations", journal = "Caspian Journal of Mathematical Sciences", volume = "3", number = "1", pages = "57--66", year = "2014", ISSN = "1735-0611", MRclass = "65M70 (42C40 65T60)", MRnumber = "3470231", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "Casp. J. Math. Sci.", fjournal = "Caspian Journal of Mathematical Sciences", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Dyn:2014:RGD, author = "Nira Dyn and Ognyan Kounchev and David Levin and Hermann Render", title = "Regularity of generalized {Daubechies} wavelets reproducing exponential polynomials with real-valued parameters", journal = j-APPL-COMPUT-HARMON-ANAL, volume = "37", number = "2", pages = "288--306", year = "2014", DOI = "https://doi.org/10.1016/j.acha.2013.12.003", ISSN = "1063-5203 (print), 1096-603x (electronic)", ISSN-L = "1063-5203", MRclass = "42C40", MRnumber = "3223466", MRreviewer = "Ilya A. Krishtal", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1294.42007", acknowledgement = ack-nhfb, fjournal = "Applied and Computational Harmonic Analysis. Time-Frequency and Time-Scale Analysis, Wavelets, Numerical Algorithms, and Applications", journal-URL = "http://www.sciencedirect.com/science/journal/10635203", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Elgendi:2014:CAB, author = "Mohamed Elgendi and Prashant Bobhate and Shreepal Jain and Jennifer Rutledge and Yashu Coe and Roger Zemp and Dale Schuurmans and Ian Adatia", title = "Detection of the first and second heart sounds in children using {Daubechies} wavelets", journal = "Pulmonary Circulation", volume = "4", number = "3", pages = "527--527", month = sep, year = "2014", DOI = "https://doi.org/10.1086/677368", ISSN = "2045-8932 (print), 2045-8940 (electronic)", ISSN-L = "2045-8932", bibdate = "Fri Mar 09 06:12:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Abstracts of the 7th International Conference on Neonatal and Childhood Pulmonary Vascular Disease, editor Jeffrey Fineman.", URL = "http://www.jstor.org/stable/10.1086/677368", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Gao:2014:CAB, author = "Jing Gao", title = "Comparison analysis based on the cubic spline wavelet and {Daubechies} wavelet of harmonic balance method", journal = j-ABSTR-APPL-ANAL, pages = "Art. ID 634974, 6", year = "2014", DOI = "https://doi.org/10.1155/2014/634974", ISSN = "1085-3375 (print), 1687-0409 (electronic)", ISSN-L = "1085-3375", MRclass = "65T60", MRnumber = "3200797", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Abstract and Applied Analysis", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Mohr:2014:DWLa, author = "Stephan Mohr and Laura E. Ratcliff and Paul Boulanger and Luigi Genovese and Damien Caliste and Thierry Deutsch and Stefan Goedecker", title = "{Daubechies} Wavelets for Linear Scaling Density Functional Theory", journal = "arXiv.org", volume = "??", number = "??", pages = "1--18", day = "29", month = jan, year = "2014", CODEN = "????", DOI = "https://doi.org/10.1063/1.4871876", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1401.7441", abstract = "We demonstrate that Daubechies wavelets can be used to construct a minimal set of optimized localized contracted basis functions in which the Kohn--Sham orbitals can be represented with an arbitrarily high, controllable precision. Ground state energies and the forces acting on the ions can be calculated in this basis with the same accuracy as if they were calculated directly in a Daubechies wavelets basis, provided that the amplitude of these contracted basis functions is sufficiently small on the surface of the localization region, which is guaranteed by the optimization procedure described in this work. This approach reduces the computational costs of DFT calculations, and can be combined with sparse matrix algebra to obtain linear scaling with respect to the number of electrons in the system. Calculations on systems of 10,000 atoms or more thus become feasible in a systematic basis set with moderate computational resources. Further computational savings can be achieved by exploiting the similarity of the contracted basis functions for closely related environments, e.g. in geometry optimizations or combined calculations of neutral and charged systems.", acknowledgement = ack-nhfb, subject = "Materials Science (cond-mat.mtrl-sci)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Mohr:2014:DWLb, author = "Stephan Mohr and Laura E. Ratcliff and Paul Boulanger and Luigi Genovese and Damien Caliste and Thierry Deutsch and Stefan Goedecker", title = "{Daubechies} wavelets for linear scaling density functional theory", journal = j-J-CHEM-PHYS, volume = "140", number = "20", pages = "204110:1--204110:16", month = may, year = "2014", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.4871876", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Mar 9 07:13:31 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{OjedaGonzalez:2014:DWCa, author = "Arian {Ojeda Gonz{\'a}lez} and Odim {Mendes Junior} and Margarete {Oliveira Domingues} and Varlei {Everton Menconi}", title = "{Daubechies} wavelet coefficients: a tool to study interplanetary magnetic field fluctuations", journal = "arXiv.org", volume = "??", number = "??", pages = "1--15", day = "10", month = apr, year = "2014", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Published in Geofisica Internacional, 53-2: 101-115, ISSN: 0016-7169, 2014", URL = "https://arxiv.org/abs/1404.2835", abstract = "We have studied a set of 41 magnetic clouds (MCs) measured by the ACE spacecraft, using the discrete orthogonal wavelet transform (Daubechies wavelet of order two) in three regions: Pre-MC (plasma sheath), MC and Post-MC. We have used data from the IMF GSM-components with time resolution of 16 s. The mathematical property chosen was the statistical mean of the wavelet coefficients ($<$Dd1$>$). The Daubechies wavelet coefficients have been used because they represent the local regularity present in the signal being studied. The results reproduced the well-known fact that the dynamics of the sheath region is more than that of the MC region. This technique could be useful to help a specialist to find events boundaries when working with IMF datasets, i.e., a best form to visualize the data. The wavelet coefficients have the advantage of helping to find some shocks that are not easy to see in the IMF data by simple visual inspection. We can learn that fluctuations are not low in all MCs, in some cases waves can penetrate from the sheath to the MC. This methodology has not yet been tested to identify some specific fluctuation patterns at IMF for any other geoeffective interplanetary events, such as Co-rotating Interaction Regions (CIRs), Heliospheric Current Sheet (HCS) or ICMEs without MC signatures. In our opinion, as is the first time that this technique is applied to the IMF data with this purpose, the presentation of this approach for the Space Physics Community is one of the contributions of this work.", acknowledgement = ack-nhfb, remark = "15 pages, 6 figures, 4 tables this http URL.", subject = "Space Physics (physics.space-ph)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{OjedaGonzalez:2014:DWCb, author = "Arian {Ojeda Gonz{\'a}lez} and Odim {Mendes Junior} and Margarete {Oliveira Domingues} and Varlei {Everton Menconi}", title = "{Daubechies} wavelet coefficients: a tool to study interplanetary magnetic field fluctuations", journal = "Geof{\'\i}sica Internacional", volume = "53", number = "2", pages = "101--115", month = "????", year = "2014", ISSN = "0016-7169", ISSN-L = "0016-7169", bibdate = "Fri Mar 09 06:27:40 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.geofisica.unam.mx/unid_apoyo/editorial/publicaciones/investigacion/geofisica_internacional/anteriores/2014/02/1_ojeda.pdf", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Staff:2014:DFF, author = "{Duke Today Staff}", title = "{Daubechies} on the First Female Winner of the {Fields Math Medal}", howpublished = "Web story.", day = "14", month = aug, year = "2014", bibdate = "Sat Mar 10 16:46:42 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, remark = "Address on the award of the 2014 Fields Medal to Stanford University Professor Maryam Mirzakhani (3 May 1977--14 July 2017).", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Anonymous:2015:PL, author = "Anonymous", title = "{Pauli Lectures 2015}", howpublished = "Web story", year = "2015", bibdate = "Mon Mar 12 11:30:46 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.pauli-lectures.ethz.ch/archive/lectures15.html", abstract = "The Wolfgang Pauli Lectures 2015 were dedicated to mathematics, and given by Professor Ingrid Daubechies.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InCollection{Chatterjee:2015:MIF, author = "Pubali Chatterjee and Somoballi Ghoshal and Biswajit Biswas and Amlan Chakrabarti and Kashi Nath Dey", booktitle = "Transactions on Computational Science {XXV}", title = "Medical image fusion using {Daubechies} complex wavelet and near set", volume = "9030", publisher = "Springer, Heidelberg", pages = "90--111", year = "2015", DOI = "https://doi.org/10.1007/978-3-662-47074-9_6", MRclass = "94A08", MRnumber = "3368278", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Lecture Notes in Comput. Sci.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Chen:2015:SMA, author = "Jian Ping Chen and Wen Yong Tang", title = "Study of a meshless analysis method for ship structures based on {Daubechies} wavelet basis theory", journal = "J. Dalian Univ. Technol.", volume = "55", number = "5", pages = "498--503", year = "2015", ISSN = "1000-8608", MRclass = "65N35 (65T60)", MRnumber = "3443590", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Dalian University of Technology. Dalian Ligon Daxue Xuebao", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Dishabi:2015:DPP, author = "Mohammad Reza Ebrahimi Dishabi and Mohammad Abdollahi Azgomi", title = "Differential privacy preserving clustering using {Daubechies-2} wavelet transform", journal = j-INT-J-WAVELETS-MULTIRESOLUT-INF-PROCESS, volume = "13", number = "4", pages = "1550028, 35", year = "2015", CODEN = "IJWMIP", DOI = "https://doi.org/10.1142/S02196913155002891550028", ISSN = "0219-6913 (print), 1793-690X (electronic)", ISSN-L = "0219-6913", MRclass = "68T05 42C40 65T60 68P25 94A60", MRnumber = "3373792", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1341.68153", acknowledgement = ack-nhfb, ajournal = "Int. J. Wavelets Multiresolut. Inf. Process.", fjournal = "International Journal of Wavelets, Multiresolution and Information Processing", journal-URL = "https://www.worldscientific.com/worldscinet/ijwmip", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{He:2015:NDA, author = "Tian-Xiao He and Tung Nguyen", title = "A Note on the {Daubechies} Approach in the Construction of Spline Type Orthogonal Scaling Functions", journal = "arXiv.org", volume = "??", number = "??", pages = "1--14", day = "11", month = jul, year = "2015", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1507.03057", abstract = "We use Lorentz polynomials to present the solutions explicitly of equations (6.1.7) of [I. Daubechies, Ten lectures on wavelets, CBMS-NSF Regional Conference Series in Applied Mathematics, 61. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1992] and (4.9) of [I. Daubechies, Orthonormal bases of compactly supported wavelets. Comm. Pure Appl. Math. 41 (1988), no. 7, 909--996] sot that we give an efficient way to prove Daubechies' results on the existence of spline type orthogonal scaling functions and to evaluate Daubechies scaling functions.", acknowledgement = ack-nhfb, subject = "Functional Analysis (math.FA)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Nikam:2015:CIE, author = "Swati D. Nikam and Rajesh U. Yawale", booktitle = "2015 International Conference on Industrial Instrumentation and Control ({ICIC})", title = "Color image enhancement using {Daubechies} wavelet transform and {HIS} color model", publisher = pub-IEEE, address = pub-IEEE:adr, month = may, year = "2015", DOI = "https://doi.org/10.1109/iic.2015.7150953", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{P:2015:SKE, author = "Riskyana Dewi Intan P", title = "Studi Komparasi Ekstraksi Fitur pada Pengenalan Wajah Menggunakan Principal Component Analysis ({PCA}) dan Wavelet {Daubechies}. ({Indonesian}) [{Comparative} Study of Feature Extraction on Facial Recognition Using {Principal Component Analysis (PCA)} and {Daubechies} Wavelets]", journal = "Jurnal Masyarakat Informatika", volume = "6", number = "12", month = oct, year = "2015", DOI = "https://doi.org/10.14710/jmasif.v6i12.9281", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, journal-URL = "https://ejournal.undip.ac.id/index.php/jmasif/issue/archive", language = "Indonesian", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Panja:2015:GTQ, author = "M. M. Panja and B. N. Mandal", title = "{Gauss}-type quadrature rule with complex nodes and weights for integrals involving {Daubechies} scale functions and wavelets", journal = j-J-COMPUT-APPL-MATH, volume = "290", pages = "609--632", year = "2015", CODEN = "JCAMDI", DOI = "https://doi.org/10.1016/j.cam.2015.05.024", ISSN = "0377-0427 (print), 1879-1778 (electronic)", ISSN-L = "0377-0427", MRclass = "65D30 65D32 65T60 41A55", MRnumber = "3370432", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1327.65045", acknowledgement = ack-nhfb, fjournal = "Journal of Computational and Applied Mathematics", journal-URL = "http://www.sciencedirect.com/science/journal/03770427", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Ratcliff:2015:FACa, author = "Laura E. Ratcliff and Luigi Genovese and Stephan Mohr and Thierry Deutsch", title = "Fragment Approach to Constrained Density Functional Theory Calculations using {Daubechies} Wavelets", journal = "arXiv.org", volume = "??", number = "??", pages = "1--14", day = "20", month = mar, year = "2015", CODEN = "????", DOI = "https://doi.org/10.1063/1.4922378", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1503.06229", abstract = "In a recent paper we presented a linear scaling Kohn--Sham density functional theory (DFT) code based on Daubechies wavelets, where a minimal set of localized support functions is optimized in situ and therefore adapted to the chemical properties of the molecular system. Thanks to the systematically controllable accuracy of the underlying basis set, this approach is able to provide an optimal contracted basis for a given system: accuracies for ground state energies and atomic forces are of the same quality as an uncontracted, cubic scaling approach. This basis set offers, by construction, a natural subset where the density matrix of the system can be projected. In this paper we demonstrate the flexibility of this minimal basis formalism in providing a basis set that can be reused as-is, i.e. without reoptimization, for charge-constrained DFT calculations within a fragment approach. Support functions, represented in the underlying wavelet grid, of the template fragments are roto-translated with high numerical precision to the required positions and used as projectors for the charge weight function. We demonstrate the interest of this approach to express highly precise and efficient calculations for preparing diabatic states and for the computational setup of systems in complex environments.", acknowledgement = ack-nhfb, subject = "Materials Science (cond-mat.mtrl-sci); Chemical Physics (physics.chem-ph)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Ratcliff:2015:FACb, author = "Laura E. Ratcliff and Luigi Genovese and Stephan Mohr and Thierry Deutsch", title = "Fragment approach to constrained density functional theory calculations using {Daubechies} wavelets", journal = j-J-CHEM-PHYS, volume = "142", number = "23", pages = "234105:1--234105:15", month = jun, year = "2015", CODEN = "JCPSA6", DOI = "https://doi.org/10.1063/1.4922378", ISSN = "0021-9606 (print), 1089-7690 (electronic)", ISSN-L = "0021-9606", bibdate = "Fri Mar 9 07:07:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Journal of Chemical Physics", journal-URL = "http://scitation.aip.org/content/aip/journal/jcp/browse", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Redko:2015:FCR, author = "I. V. Redko", title = "On {Fourier} coefficients with respect to the system of {Daubechies} wavelets {$ \{ \psi^{(2)}_{jk} \}_{j, k \in \mathbb{Z}} $}", journal = "Vestn. Voronezh. Gos. Univ., Ser. Fiz. Mat.", volume = "2015", number = "1", pages = "168--176", year = "2015", ISSN = "1609-0705", MRclass = "42C40 42C10 65T60", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1354.42064", acknowledgement = ack-nhfb, fjournal = "Vestnik Voronezhskogo Gosudarstvennogo Universiteta. Seriya Fizika, Matematika", language = "Russian", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Shrestha:2015:CIS, author = "Ajaya Shrestha and Arun Timalsina", booktitle = "{2015 9th International Conference on Software, Knowledge, Information Management and Applications (SKIMA)}", title = "Color image steganography technique using {Daubechies} discrete wavelet transform", publisher = pub-IEEE, address = pub-IEEE:adr, month = dec, year = "2015", DOI = "https://doi.org/10.1109/skima.2015.7400039", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/cryptography2010.bib", acknowledgement = ack-nhfb, pagecount = "7", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Tiwari:2015:CMI, author = "Prabhat Kumar Tiwari and Bhanu Devi and Yogendera Kumar", booktitle = "International Conference on Computing, Communication {\&} Automation", title = "Compression of {MRT} images using {Daubechies} 9/7 and thresholding technique", publisher = pub-IEEE, address = pub-IEEE:adr, month = may, year = "2015", DOI = "https://doi.org/10.1109/ccaa.2015.7148563", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Yoshino:2015:SAD, author = "Kunio Yoshino", booktitle = "{Pseudo-differential operators and generalized functions. Selected papers of the 9th ISAAC congress, Cracow, Poland, August 5--9, 2013}", title = "Spectral analysis of {Daubechies} localization operators", volume = "245", publisher = pub-SV, address = pub-SV:adr, pages = "285--290", year = "2015", DOI = "https://doi.org/10.1007/978-3-319-14618-8_19", ISBN = "3-319-14617-3 (hardcover); 3-319-14618-1 (e-book)", ISBN-13 = "978-3-319-14617-1 (hardcover); 978-3-319-14618-8 (e-book)", MRclass = "47G10 47A75 46F15 35P20", MRnumber = "3380092", MRreviewer = "Elena Cordero", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", series = "Oper. Theory Adv. Appl.", ZMnumber = "1348.47037", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Anonymous:2016:DWT, author = "Anonymous", title = "Discrete wavelet transform: {Daubechies} wavelets", howpublished = "Wikipedia article", year = "2016", bibdate = "Tue Mar 13 08:46:43 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://en.wikipedia.org/wiki/Discrete_wavelet_transform", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Anonymous:2016:ICI, author = "Anonymous", title = "Interview at {CIRM}: {Ingrid Daubechies}", howpublished = "Video interview (16m24s).", day = "29", month = nov, year = "2016", bibdate = "Mon Mar 12 09:27:44 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://www.youtube.com/watch?v=lhR7K6xp2Cg", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Bonato:2016:IMR, author = "Anthony Bonato", title = "The Intrepid Mathematician Reading, writing and arithmetic: Interview with a mathematician: {Ingrid Daubechies}", howpublished = "Web site.", day = "7", month = dec, year = "2016", bibdate = "Sat Mar 10 16:50:24 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://anthonybonato.com/2016/12/07/interview-with-a-mathematician-ingrid-daubechies/", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Liu:2016:NMB, author = "Yanan Liu and Keqin Din", title = "A numerical method based on {Daubechies} wavelet basis and {B}-spline patches for elasticity problems", journal = "Mathematical Problems in Engineering", pages = "Art. ID 2549213, 11", year = "2016", DOI = "https://doi.org/10.1155/2016/2549213", ISSN = "1024-123X", MRclass = "65N35 (74B05)", MRnumber = "3546053", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "Math. Probl. Eng.", fjournal = "Mathematical Problems in Engineering", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Ma:2016:EVD, author = "Hajji Ma", title = "On the Exact Values of {Daubechies} Wavelets", journal = "Journal of Physical Mathematics", volume = "07", number = "01", year = "2016", DOI = "https://doi.org/10.4172/2090-0902.1000157", ISSN = "2090-0899 (print), 2090-0902 (electronic)", ISSN-L = "2090-0899", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, journal-URL = "https://www.omicsonline.org/physical-mathematics.php", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{P:2016:DIW, author = "Saravanan P and Sreekara M and Manikantan K", booktitle = "{2016 3rd International Conference on Signal Processing and Integrated Networks (SPIN)}", title = "Digital Image Watermarking using {Daubechies} wavelets", publisher = pub-IEEE, address = pub-IEEE:adr, month = feb, year = "2016", DOI = "https://doi.org/10.1109/spin.2016.7566662", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Panja:2016:CES, author = "M. M. Panja and M. K. Saha and U. Basu and D. Datta and B. N. Mandal", title = "Computing eigenelements of {Sturm--Liouville} problems by using {Daubechies} wavelets", journal = "Indian Journal of Pure and Applied Mathematics", volume = "47", number = "3", pages = "553--579", year = "2016", DOI = "https://doi.org/10.1007/s13226-016-0203-6", ISSN = "0019-5588 (print), 0975-7465 (electronic)", ISSN-L = "0019-5588", MRclass = "65L15 65T60 34L16 65L20 34B24 65L70 65T60", MRnumber = "3552967", MRreviewer = "S. Hitotumatu", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", ZMnumber = "1368.65121", acknowledgement = ack-nhfb, ajournal = "Indian J. Pure Appl. Math.", fjournal = "Indian Journal of Pure and Applied Mathematics", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Staff:2016:SFA, author = "{Duke Today Staff}", title = "{Simons Foundation} Awards {Duke}'s {Ingrid Daubechies} {{\$1.5M}} Grant", howpublished = "Web story.", day = "1", month = aug, year = "2016", bibdate = "Sat Mar 10 17:11:00 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://today.duke.edu/2016/08/simonsdaubechies", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Sudarvizhi:2016:FBI, author = "D. Sudarvizhi", booktitle = "2016 International Conference on Recent Trends in Information Technology ({ICRTIT})", title = "Feature based image retrieval system using {Zernike} moments and {Daubechies Wavelet Transform}", publisher = pub-IEEE, address = pub-IEEE:adr, month = apr, year = "2016", DOI = "https://doi.org/10.1109/icrtit.2016.7569541", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Zhang:2016:CRA, author = "Niaona Zhang and Congcong Cao and Haifang Yu", booktitle = "2016 35th Chinese Control Conference ({CCC})", title = "The cycle recognition algorithm based on {Daubechies} wavelet and fuzzy {$C$}-means clustering", publisher = pub-IEEE, address = pub-IEEE:adr, month = jul, year = "2016", DOI = "https://doi.org/10.1109/chicc.2016.7554104", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2017:ID, author = "Anonymous", title = "{Ingrid Daubechies}", journal = j-PHYS-TODAY, year = "2017", CODEN = "PHTOAD", DOI = "https://doi.org/10.1063/pt.6.6.20170817a", ISSN = "0031-9228 (print), 1945-0699 (electronic)", ISSN-L = "0031-9228", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, fjournal = "Physics Today", journal-URL = "http://www.physicstoday.org/", remark = "No volume / number / pages / month data assigned.", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @InProceedings{Coskun:2017:MFI, author = "Adem Coskun and Izzet Kale and Yaprak Eminaga", booktitle = "2017 New Generation of {CAS} ({NGCAS})", title = "Multiplier Free Implementation of 8-Tap {Daubechies} Wavelet Filters for Biomedical Applications", publisher = pub-IEEE, address = pub-IEEE:adr, month = sep, year = "2017", DOI = "https://doi.org/10.1109/ngcas.2017.63", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{He:2017:UAC, author = "Tianxiao He and Tung Nguyen", title = "A unified approach to construct a class of {Daubechies} orthogonal scaling functions", journal = j-J-MATH-RES-APPL, volume = "37", number = "1", pages = "29--39", year = "2017", DOI = "https://doi.org/10.3770/j.issn:2095-2651.2017.01.003", ISSN = "2095-2651", ISSN-L = "2095-2651", MRclass = "42C05 42C40 (39A70 41A30 65T60)", MRnumber = "3642664", MRreviewer = "Elena Aleksandrovna Lebedeva", bibdate = "Wed Mar 7 18:04:36 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", acknowledgement = ack-nhfb, ajournal = "J. Math. Res. Appl.", fjournal = "Journal of Mathematical Research with Applications", journal-URL = "http://jmre.dlut.edu.cn/en/ch/index.aspx", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Sanders:2017:MHO, author = "Toby Sanders and Rodrigo B. Platte", title = "Multiscale Higher Order {TV} Operators for $ \ell_1 $ Regularization and Their Relationship to {Daubechies} Wavelets", journal = "arXiv.org", volume = "??", number = "??", pages = "1--21", day = "5", month = mar, year = "2017", CODEN = "????", ISSN = "2331-8422", ISSN-L = "2331-8422", bibdate = "Fri Mar 9 06:55:56 MST 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "https://arxiv.org/abs/1703.02404", abstract = "In the realm of signal and image denoising and reconstruction, $ \ell_1 $ regularization techniques have generated a great deal of attention with a multitude of variants. A key component for their success is that under certain assumptions, the solution of minimum $ \ell_1 $ norm is a good approximation to the solution of minimum $ \ell_0 $ norm. In this work, we demonstrate that this approximation can result in artifacts that are inconsistent with desired sparsity promoting $ \ell_0 $ properties, resulting in subpar results in {some} instances. With this as our motivation, we develop a multiscale higher order total variation (MHOTV) approach, which we show is closely related to the use of multiscale Daubechies wavelets. In the development of MHOTV, we confront a number of computational issues, and show how they can be circumvented in a mathematically elegant way, via operator decomposition and alternatively converting the problem into Fourier space. The relationship with wavelets, which we believe has generally gone unrecognized, is shown to hold in several numerical results, although subtle improvements in the results can be seen due to the properties of MHOTV.", acknowledgement = ack-nhfb, subject = "Numerical Analysis (math.NA)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Anonymous:2018:ID, author = "Anonymous", title = "{Ingrid Daubechies}", journal = j-NAMS, volume = "65", number = "3", pages = "260--261", month = mar, year = "2018", CODEN = "AMNOAN", ISSN = "0002-9920 (print), 1088-9477 (electronic)", ISSN-L = "0002-9920", bibdate = "Wed Mar 07 19:06:34 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "Special issue in honor of Women's History Month, with profiles of 27 women mathematicians.", URL = "http://www.ams.org/journals/notices/201803/201803FullIssue.pdf", acknowledgement = ack-nhfb, fjournal = "Notices of the American Mathematical Society", journal-URL = "http://www.ams.org/notices/", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Hope:2018:FFI, author = "Alan Hope", title = "Face of {Flanders}: {Ingrid Daubechies}", journal = "FlandersToday", volume = "??", number = "??", pages = "??--??", day = "25", month = sep, year = "2017", bibdate = "Mon Mar 12 09:04:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.flanderstoday.eu/current-affairs/face-flanders-ingrid-daubechies", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Article{Starckx:2015:FPI, author = "Senne Starckx", title = "{Flemish} professor [{Ingrid Daubechies}] on how maths can change the world", journal = "FlandersToday", volume = "??", number = "??", pages = "??--??", day = "14", month = oct, year = "2015", bibdate = "Mon Mar 12 09:09:49 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://www.flanderstoday.eu/innovation/flemish-professor-how-maths-can-change-world", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", } @Misc{Anonymous:20xx:IDM, author = "Anonymous", title = "{Ingrid Daubechies}, mother of the wavelet", howpublished = "Web story", year = "20xx", bibdate = "Mon Mar 12 11:26:30 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", URL = "http://focusonbelgium.be/en/Do%20you%20know%20these%20Belgians/ingrid-daubechies-mother-wavelet", abstract = "Ingrid Daubechies is an internationally renowned physicist and mathematician who thanks to her pioneering research into `wavelets' has made an essential contribution to various practical applications such as the JPEG2000-standard for digital images.", acknowledgement = ack-nhfb, remark = "Undated Web story; most recent date mentioned is 2014.", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", }

%%% ==================================================================== %%% Cross-referenced entries must come last. They are sorted by year %%% and then by citation label, with ``bibsort --byyear'':

@Book{Ruskai:1992:WTA, editor = "Mary Beth Ruskai and Gregory Beylkin and Ronald Coifman and Ingrid Daubechies and St{\'e}phane Mallat and Yves Meyer and Louise Raphael", booktitle = "Wavelets and Their Applications", title = "Wavelets and Their Applications", publisher = pub-JONES-BARTLETT, address = pub-JONES-BARTLETT:adr, pages = "xiii + 474", year = "1992", ISBN = "0-86720-225-4 (hardcover)", ISBN-13 = "978-0-86720-225-0 (hardcover)", LCCN = "QA403.3 .W38 1992", MRclass = "00B25, 42Cxx, 46-06", bibdate = "Fri Mar 31 11:11:22 MST 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wickerhauser-m-victor.bib; http://www.math.utah.edu/pub/tex/bib/kbmath.bib", ZMnumber = "0782.00087", acknowledgement = ack-kb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", remark = "Contains some lectures from the NSF\slash CBMS Conference on Wavelets held at the University of Lowell in June, 1990.", subject = "Wavelets (Mathematics); Singular integrals; Int{\'e}grales singuli{\`e}res; Fonctions maximales; Ondelettes; Singular integrals; Wavelets (Mathematics); Wavelet; Ondelettes; Traitement du signal; Techniques num{\'e}riques; Aufsatzsammlung", tableofcontents = "Wavelets and filter banks for discrete-time signal processing / M. Vetterli \\ Wavelets for quincunx pyramid / J.-C. Feauveau \\ Wavelet transform maxima and multiscale edges / S. Mallat and S. Zhong \\ Wavelets and digital signal processing / Albert Cohen \\ Ridge and skeleton extraction from the wavelet transform / Ph. Tchamitchian and B. Torr{\'e}sani \\ Wavelet analysis and signal processing / R. R. Coifman, Yves Meyer, and V. Wickerhauser \\ Wavelets in numerical analysis / G. Beylkin, R. R. Coifman, and V. Rokhlin \\ Construction of simple multiscale bases for fast matrix operations / B. K. Alpert \\ Numerical resolution of nonlinear partial differential equations using the wavelet approach / J. Liandrat, V. Perrier, and Ph. TchamitchianThe optical wavelet transform / A. Arneodo \ldots{} [et a.] \\ The continuous wavelet transform of two-dimensional turbulent flows / M. Farge \\ Wavelets and quantum mechanics / T. Paul and K. Seip \\ Wavelets: a renormalization group point of view / G. Battle \\ Non-orthogonal wavelet and Gabor expansions, and group representations / H. G. Feichtinger and K. Gr{\"o}chenig \\ Applications of the [symbol] and wavelet transforms to the theory of function spaces / M. Frazier and B. Jawerth \\ On cardinal spline-wavlets / C. K. Chui \\ Wavelet bases for L2(R) with rational dilation factor / P. Auscher \\ Size properties of wavelet packets / R. R. Coifman, Yves Meyer, and V. Wickerhauser", } @Proceedings{Daubechies:1993:DPW, editor = "Ingrid Daubechies", booktitle = "Different Perspectives on Wavelets: {American Mathematical Society short course, January 11--12, 1993 San Antonio, Texas.}", title = "Different Perspectives on Wavelets: {American Mathematical Society short course, January 11--12, 1993 San Antonio, Texas.}", number = "47", publisher = pub-AMS, address = pub-AMS:adr, pages = "xi + 205", year = "1993", DOI = "https://doi.org/10.1090/psapm/047", ISBN = "0-8218-5503-4 (hardcover)", ISBN-13 = "978-0-8218-5503-4 (hardcover)", ISSN = "0160-7634", ISSN-L = "0160-7634", LCCN = "QA403.3 .D54 1993", MRclass = "00B25 42-06", bibdate = "Fri Mar 31 11:11:22 MST 1995", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/authors/w/wickerhauser-m-victor.bib", note = "Lecture notes prepared for the American Mathematical Society Short Course Wavelets and Applications.", series = "Proceedings of Symposia in Applied Mathematics", ZMnumber = "0782.00059", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", tableofcontents = "Wavelet transforms and orthonormal wavelet bases / Ingrid Daubechies \\ Wavelets and operators / Yves Meyer \\ Projection operators in multiresolution analysis / Pierre Gilles Lemarie-Rieusset \\ Wavelets and differential operators / Philippe Tchamitchian \\ Wavelets and fast numerical algorithms / Gregory Beylkin \\ Wavelets and adapted waveform analysis. A toolkit for signal processing and numerical analysis / Ronald R. Coifman and M. Victor Wickerhauser \\ Best-adapted wavelet packet bases / Mladen Victor Wickerhauser \\ Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data / David L. Donoho", } @Book{Carmona:1998:PTF, author = "Ren{\'e} Carmona and Wen-Liang Hwang and Bruno Torr{\'e}sani", booktitle = "Practical Time-frequency Analysis. {Gabor} and Wavelet Transforms with an Implementation in {S}", title = "Practical Time-frequency Analysis. {Gabor} and Wavelet Transforms with an Implementation in {S}", publisher = pub-ACADEMIC, address = pub-ACADEMIC:adr, pages = "490", year = "1998", ISBN = "0-12-160170-6", ISBN-13 = "978-0-12-160170-6", MRclass = "42C40 42-02 62G07 62G08 62M15 94A12", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/s-plus.bib", note = "With a preface by Ingrid Daubechies", ZMnumber = "1039.42504", abstract = "Time frequency analysis has been the object of intense research activity in the last decade. This book gives a self-contained account of methods recently introduced to analyze mathematical functions and signals simultaneously in terms of time and frequency variables. The book gives a detailed presentation of the applications of these transforms to signal processing, emphasizing the continuous transforms and their applications to signal analysis problems, including estimation, denoising, detection, and synthesis. To help the reader perform these analyses, Practical Time-Frequency Analysis provides a set of useful tools in the form of a library of S functions, downloadable from the authors' Web sites in the United States and France. Key Features * Detailed presentation of the Wavelet and Gabor transforms * Applications to deterministic and random signal theory * Spectral analysis of nonstationary signals and processes * Numerous practical examples ranging from speech analysis to underwater acoustics, earthquake engineering, internet traffic, radar signal denoising, medical data interpretation, etc * Accompanying software and data sets, freely downloadable from the book's Web page.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", tableofcontents = "I: Background Material / 25 \\ 1: Time, Frequency, and Time-Frequency / 27 \\ 2: Spectral Theory of Stationary Random Processes: A Primer / 67 \\ II: Gabor and Wavelet Transforms / 99 \\ 3: The Continuous Gabor Transform / 101 \\ 4: The Continuous Wavelet Transform / 129 \\ 5: Discrete Time-Frequency Transforms and Algorithms / 163 \\ III: Signal Processing Applications / 219 \\ 6: Time-Frequency Analysis of Stochastic Processes / 221 \\ 7: Analysis of Frequency Modulated Signals / 271 \\ 8: Statistical Reconstructions / 309 \\ IV: The Swave Library / 355 \\ 9: Downloading and Installing the Swave Package / 357 \\ 10: The Swave S Functions / 361 \\ 11: The Swave S Utilities / 409 \\ Bibliographies / 439 \\ General References / 441 \\ Wavelet Books / 465 \\ Splus Books / 469 \\ Indexes / 471", } @Book{Welstead:1999:FWI, author = "Stephen Welstead", booktitle = "Fractal and Wavelet Image Compression Techniques", title = "Fractal and Wavelet Image Compression Techniques", publisher = pub-SPIE, address = pub-SPIE:adr, pages = "xv + 232", year = "1999", DOI = "https://doi.org/10.1117/3.353798", ISBN = "0-8194-3503-1 (print), 0-8194-7859-8 (e-PDF), 1-61583-713-2 (e-book)", ISBN-13 = "978-0-8194-3503-3 (print), 978-0-8194-7859-7 (e-PDF), 978-1-61583-713-7 (e-book)", LCCN = "TA1637 .W45 1999", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", abstract = "Interest in image compression for internet and other multimedia applications has spurred research into compression techniques that will increase storage capabilities and transmission speed. This tutorial provides a practical guide to fractal and wavelet approaches--two techniques with exciting potential. It is intended for scientists, engineers, researchers, and students. It provides both introductory information and implementation details. Three Windows-compatible software systems are included so that readers can explore the new technologies in depth. Complete C/C++ source code is provided, enabling readers to go beyond the accompanying software. The mathematical presentation is accessible to advanced undergraduate or beginning graduate students in technical fields.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", tableofcontents = "1. Introduction \\ Images \\ The image compression problem \\ Information, entropy, and data modeling \\ Scalar and vector quantization \\ Transform methods \\ Color images \\ The focus of this book \\ Part I: Fractal image compression. 2. Iterated Function Systems \\ Iterated function systems as the motivation for fractal image compression \\ Metric spaces \\ Iterated function systems \\ Implementation of an iterated function system \\ Examples \\ 3. Fractal encoding of grayscale images \\ A metric space for grayscale images \\ Partitioned iterated function systems (PIFS) \\ Fractal image encoding \\ Image decoding \\ Storing the encoded image \\ Resolution independence \\ Operator representation of fractal image encoding \\ 4. Speeding up fractal encoding \\ Feature extraction \\ Domain classification \\ Other approaches for speeding up fractal encoding \\ Part II. Wavelet image compression. 5. Simple wavelets \\ Introduction \\ Averaging and detail \\ Scaling functions and wavelet functions \\ Multiresolution analysis \\ Normalization \\ Wavelet transform \\ Inverse wavelet transform \\ Wavelet transform in two dimensions \\ 6. Daubechies wavelets \\ Weighted averages and differences \\ Properties and conditions on the coefficients \\ Wavelet transform \\ Scaling functions and wavelet functions \\ Daubechies wavelets \\ Simple image compression with Daubechies wavelets \\ Other wavelet systems \\ 7. Wavelet image compression techniques \\ Introduction \\ Wavelet zerotrees \\ Hybrid fractal-wavelet coding \\ 8. Comparison of fractal and wavelet image compression \\ Rate distortion \\ Encoding speed \\ Larger images \\ Conclusions \\ Appendix A: Using the accompanying software \\ IFS System \\ IMG System: fractal image compression \\ WAV System: wavelet image compression \\ Appendix B: Utility Windows Library (UWL) \\ Windows programming \\ Utility Windows Library (UWL) \\ Windows programming references \\ Appendix C: Organization of the accompanying software source code \\ IFS System \\ IMG System \\ WAV System", } @Proceedings{Storer:2000:DPD, editor = "James A. (James Andrew) Storer and Martin Cohn", key = "DCC 2000", booktitle = "{DCC 2000: Proceedings, Data Compression Conference, March 28--30, 2000, Snowbird, Utah}", title = "{DCC 2000: Proceedings, Data Compression Conference, March 28--30, 2000, Snowbird, Utah}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xv + 586", year = "2000", DOI = "https://doi.org/10.1109/DCC.2000.838139", ISBN = "0-7695-0592-9, 0-7695-0594-5 (microfiche)", ISBN-13 = "978-0-7695-0592-3, 978-0-7695-0594-7 (microfiche)", ISSN = "1068-0314 (print), 2375-0359 (electronic)", ISSN-L = "1068-0314", LCCN = "QA76.9.D33 D37 2000", bibdate = "Mon Jan 28 15:18:45 MST 2013", bibsource = "clio-db.cc.columbia.edu:7090/Voyager; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib; http://www.math.utah.edu/pub/tex/bib/gnu.bib", note = "This millennial edition of the DCC proceedings is dedicated to the memory of David A. Huffman, 1925--1999. IEEE Computer Society order number PR00592.", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=838139", acknowledgement = ack-nhfb, meetingname = "Data Compression Conference (2000: Snowbird, Utah)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", series-URL = "http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000177", subject = "Data compression (Computer science); Congresses", } @Proceedings{Storer:2002:DPD, editor = "James A. (James Andrew) Storer and Martin Cohn", key = "DCC 2002", booktitle = "{DCC 2002: proceedings: Data Compression Conference: April 2--4, 2002, Snowbird, Utah}", title = "{DCC 2002: proceedings: Data Compression Conference: April 2--4, 2002, Snowbird, Utah}", publisher = pub-IEEE, address = pub-IEEE:adr, pages = "xi + 487", year = "2002", DOI = "https://doi.org/10.1109/DCC.2002.999937", ISBN = "0-7695-1477-4, 0-7695-1478-2 (case), 0-7695-1479-0 (microfiche)", ISBN-13 = "978-0-7695-1477-2, 978-0-7695-1478-9 (case), 978-0-7695-1479-6 (microfiche)", ISSN = "1068-0314 (print), 2375-0359 (electronic)", ISSN-L = "1068-0314", LCCN = "QA76.9.D33 D37 2002", bibdate = "Mon Jan 28 15:18:45 MST 2013", bibsource = "clio-db.cc.columbia.edu:7090/Voyager; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/datacompression.bib", note = "IEEE Computer Society Order Number PR01477.", URL = "http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=999937", acknowledgement = ack-nhfb, meetingname = "Data Compression Conference (2002: Snowbird, Utah)", ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", series-URL = "http://ieeexplore.ieee.org/xpl/conhome.jsp?punumber=1000177", subject = "Data compression (Computer science); Congresses", } @Proceedings{Thrun:2004:ANI, editor = "Sebastian Thrun and Lawrence K. Saul and Bernhard Sch{\"o}lkopf", booktitle = "{Advances in neural information processing systems 16: (NIPS 2003): proceedings of the 2003 conference}", title = "{Advances in neural information processing systems 16: (NIPS 2003): proceedings of the 2003 conference}", publisher = pub-MIT, address = pub-MIT:adr, pages = "xxvii + 1621", year = "2004", ISBN = "0-262-20152-6 (hardcover)", ISBN-13 = "978-0-262-20152-0 (hardcover)", LCCN = "QA76.87", bibdate = "Mon Mar 12 18:42:59 MDT 2018", bibsource = "fsz3950.oclc.org:210/WorldCat; http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", URL = "http://papers.nips.cc/book/advances-in-neural-information-processing-systems-16-2003", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Neural networks (Computer science); Congresses; Neural computers; Neural computers; Neural networks (Computer science); R{\'e}seaux neuronaux (informatique); Congr{\`e}s; Ordinateurs neuronaux", } @Book{Case:2005:CWM, editor = "Bettye Anne Case and Anne M. Leggett", title = "Complexities: Women in Mathematics", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xix + 412 + 22", year = "2005", ISBN = "0-691-11462-5, 0-691-17109-2, 1-4008-8016-5 (e-book)", ISBN-13 = "978-0-691-11462-0, 978-0-691-17109-8, 978-1-4008-8016-4 (e-book)", LCCN = "QA27.5 .C66 2005", MRclass = "01A80 01A70 01-02", bibdate = "Sat Mar 24 10:39:04 MDT 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/authors/t/taussky-todd-olga.bib; http://www.math.utah.edu/pub/tex/bib/adabooks.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/enhancements/fy0668/2004048843-b.html; http://www.loc.gov/catdir/enhancements/fy0668/2004048843-d.html; http://www.loc.gov/catdir/toc/fy0612/2004048843.html", ZMnumber = "1072.01023", acknowledgement = ack-nhfb, subject = "Women in mathematics; United States; History; Feminism and science; Women mathematicians; Biography; Mathematics; Vocational guidance", tableofcontents = "Preface / xi \\ Acknowledgments / xiii \\ Note to Readers / xv \\ Abbreviations / xvii \\ I. Inspiration / 1 \\ 1. From the Twentieth Century / 3 \\ In her own words / Olga Taussky-Todd / 4 \\ Remembering Olga Taussky Todd / Chandler Davis / 6 \\ Being Julia Robinson's sister / Constance Reid / 8 \\ Euphemia Lofton Haynes / 18 \\ Marjorie Lee Browne / Patricia Clark Kenschaft / 19 \\ Cora Ratto de Sadosky / Cora Sadosky / 14 \\ Fifty years in mathematics / Mabel S. Barnes / 27 \\ Emmy Noether / Emiliana Pasca Noether / 30 \\ 2. From Earlier Times / 38 \\ My grandmother, Grace Chisholm Young / Sylvia M. Wiegand / 39 \\ Like mother, like daughter / Ivor Grattan-Guinness / 46 \\ Charlotte Angas Scott / Patricia Clark Kenschaft / 48 \\ Sonia Kovalevsky / Linda Keen / 52 \\ Elizaveta Fedorovna Litvinova / Ann Hibner Koblitz / 54 \\ Ada Byron Lovelace / Dana Angluin / 60 \\ Sophie Germain / Mary W. Gray / 68 \\ Christine Ladd Franklin and Mary Fairfax Somerville / 74 \\ II. Joining Together / 77 \\ Women and mathematical ability / Ralph P. Boas / 79 \\ AWM's first twenty years: the presidents' perspectives / Lenore Blum / 80 \\ Activities and awards / 98 \\ AWM in the 1990s / Jean E. Taylor and Sylvia M. Wiegand / 105 \\ 1996: women preside / 115 \\ Affirmative action: what is it and what should it be? / Cora Sadosky / 116 \\ Across borders / Bettye Anne Case and Anne M. Leggett / 121 \\ Women invited as speakers at ICMs / 122 \\ ICM activities on women in mathematics / 124 \\ International views on education / Elizabeth S. Allman / 128 \\ Crossing ocean and equator / Isabel Salgado Labouriau / 131 \\ Voices from six continents / 134 \\ Complexities Photo Album (following page 148) \\ III. Choices and Challenges / 149 \\ Pathways in mathematics / Bettye Anne Case and Anne M. Leggett / 151 \\ 1. A Dual Triumph / 177 \\ Black and female / Vivienne Malone Mayes / 178 \\ In remembrance / Etta Zuber Falconer and Lee Lorch / 181 \\ How I decided to pursue a Ph.D. in mathematics / Geraldine Darden / 184 \\ A double dose of discrimination / Elayne Arrington-Idowu / 186 \\ Prejudice and isolation, or cooperation and support? / 188 \\ 2. Inside the Academy / 191 \\ Moment maps in stable bundles / Karen Uhlenbeck / 193 \\ Honors and awards / 195 \\ Uhlenbeck receives National Medal of Science / 195 \\ Gung and Hu award conferred on Schafer / Linda R. Sons / 196 \\ Spikes honored as administrator and educator / 197 \\ Chauvenet prize awarded to Birman / 199 \\ Expository writing / Joan S. Birman / 200 \\ Country school to grad school / Burton W. Jones and Robert A. Rosenbaum / 202 \\ The real world of the 1930s / Dorothy L. Bernstein / 204 \\ Two mentors / 205 \\ Violet Bushwick Haas / Pamela G. Coxson / 205 \\ Alice B. Dickinson / Joan P. Hutchinson / 207 \\ Increasing minority representation in mathematics / William A. Hawkins, Gloria Hewitt, John W. Alexander, and Bettye Anne Case / 208 \\ Research and teaching at liberal arts colleges / Lynne M. Butler / 212 \\ Sustaining a research program / Karen Brucks, Bettye Anne Case, and Anne M. Leggett / 213 \\ Are student ratings unfair to women? / Neal I. Koblitz / 215 \\ Rules for academic success / Audrey A. Terras / 218 \\ 3. Outside the Academy / 221 \\ Government and administration / Mina Rees / 222 \\ Citations / 227 \\ Computer science / Maria M. Klawe / 228 \\ Aerospace / Elizabeth Ralston / 230 \\ Oil industry / Margaret Waid / 232 \\ Publishing / Anneli Lax, Bettye Anne Case, and Anne M. Leggett / 235 \\ National Security Agency / Barbara Brown Flinn / 236 \\ Biomedical research / Sarah E. Holte / 238 \\ Communications industry / Margaret H. Wright / 240 \\ 4. Having a Life / 243 \\ How I became a mathematician / Louise Hay / 244 \\ Is geography destiny? / Margaret A. M. Murray / 248 \\ Universities and the two-body problem / Susan Landau / 253 \\ Lifestyle discussions / 256 \\ The two-city existence / Judy Green / 257 \\ Spatial separation in family life / Marian Boykan Pour-El / 258 \\ Tenure track, mommy track / Susan Landau / 260 \\ IV. Celebration / 265 \\ Problems, including mathematical problems, from my early years / Cathleen Synge Morawetz / 267 \\ Looking back --- looking ahead / Evelyn Boyd Granville / 272 \\ Olga Taussky and class field theory / Christa Binder / 281 \\ Numbers, matrices, and commutativity / Helene Shapiro / 292 \\ The Taussky Todd celebration / Bettye Anne Case, Krystyna Kuperberg, Helen Moore, and Lesley A. Ward / 308 \\ A mathematician at NIST today / Fern Y. Hunt / 314 \\ What use is statistics for massive data? / Diane Lambert / 328 \\ Math, with an attitude / Linda Petzold / 340 \\ V. Into a New Century / 347 \\ Biased random walk: a brief mathematical biography / Nancy Kopell / 349 \\ Challenges / Karen Uhlenbeck / 352 \\ Mathematics in ``my century'' / Carolyn S. Gordon / 356 \\ Thought problems / Ingrid Daubechies / 358 \\ Outreach and variety / Suzanne Lenhart / 361 \\ Demographic trends and challenges / Carolyn R. Mahoney / 364 \\ Me, a mathematician? / Catherine A. Roberts / 370 \\ My path toward mathematics / Karen E. Smith / 372 \\ A cautionary tale / Helen Moore / 381 \\ Role models and mentors / Judy L. Walker / 385 \\ An energetic career / Tamara G. Kolda / 388 \\ For the love of mathematics / Tasha R. Inniss / 390 \\ Mathematics: mortals and morals / Katherine Socha / 393 \\ Afterword / 397 \\ Photo Credits / 399 \\ Index of Names / 401", } @Book{Lieb:2005:OER, editor = "Elliott H. Lieb and Walter Thirring", booktitle = "The Stability of Matter: From Atoms to Stars: Selecta of {Elliott H. Lieb}", title = "One-Electron Relativistic Molecules with {Coulomb} Interaction", publisher = pub-SV, address = pub-SV:adr, edition = "Fourth", pages = "xv + 932", year = "2005", DOI = "https://doi.org/10.1007/b138553", ISBN = "3-540-22212-X (hardcover), 3-540-27056-6", ISBN-13 = "978-3-540-22212-5 (hardcover), 978-3-540-27056-0", LCCN = "QC173.4.T48 L54 2005", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/bibnet/authors/f/fermi-enrico.bib", URL = "http://link.springer.com/10.1007/b138553", abstract = "This collection of papers --- starting with a brilliant article by one of the masters of the field --- gives an excellent current review of our knowledge of matter. Partially basing his own work on a variational formulation of quantum mechanics, E. H. Lieb links the difficult question of the stability of matter with important problems in functional analysis. Here the reader will find general results together with deep insights into quantum systems combined with papers on the structure of atoms and molecules, the thermodynamic limit, and stellar structures. The book is suitable as an accompanying text or recommended reading for a graduate course in quantum mechanics. In the third edition, two new sections were added: one contains papers on quantum electrodynamics, and the other on Boson systems. In this fourth edition, these topics have been further developed, extending the book by approximately 120 pages.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", tableofcontents = "The Stability of Matter: From Atoms to Stars \\ Lower bound to the energy of complex atoms \\ Improved Lower Bound on the Indirect Coulomb Energy \\ Letter to the Editor \\ Proof of the Stability of Highly Negative Ions in the Absence of the Pauli Principle \\ Atomic and Molecular Negative Ions \\ Bound on the maximum negative ionization of atoms and molecules \\ Approximate Neutrality of Large-Z Ions \\ Universal nature of van der Waals forces for Coulomb Systems \\ Electron density near the nucleus of a large atom \\ Proof of a conjecture about atomic and molecular cores related to Scott's correction \\ Asymptotics of Natural and Artificial Atoms in Strong Magnetic Fields \\ Ground states of large quantum dots in magnetic fields \\ Kinetic Energy Bounds and Their Application to the Stability of Matter \\ Inequalities for the Moments of the Eigenvalues of the Schr{\"o}dinger Hamiltonian and Their Relation to Sobolev Inequalities \\ On Semi-Classical Bounds for Eigenvalues of Schr{\"o}dinger Operators \\ The Number of Bound States of One-Body Schr{\"o}dinger Operators and the Weyl Problem \\ Variational Principle for Many-Fermion Systems \\ Thomas--Fermi and related theories of atoms and molecules \\ The Hartree--Fock Theory for Coulomb Systems \\ There Are No Unfilled Shells in Unrestricted Hartree--Fock Theory \\ Many-Body Atomic Potentials in Thomas--Fermi Theory \\ The Positivity of the Pressure in Thomas--Fermi Theory \\ The Thomas--Fermi--von Weizs{\"a}cker Theory of Atoms and Molecules \\ Analysis of the Thomas--Fermi--von Weizs{\"a}cker Equation for an Infinite Atom Without Electron Repulsion \\ The most negative ion in the Thomas--Fermi--von Weizs{\"a}cker theory of atoms and molecules \\ Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter \\ Stability of Coulomb Systems with Magnetic Fields \\ Stability of Coulomb Systems with Magnetic Fields \\ Stability of Matter in Magnetic Fields \\ The Chandrasekhar Theory of Stellar Collapse as the Limit of Quantum Mechanics \\ One-Electron Relativistic Molecules with Coulomb Interaction \\ The Stability and Instability of Relativistic Matter \\ Stability of Relativistic Matter via Thomas--Fermi Theory \\ Stability and Instability of Relativistic Electrons in Classical Electromagnetic Fields \\ The stability of matter \\ Existence of Thermodynamics for Real Matter with Coulomb Forces \\ The Thermodynamic Limit for Jellium \\ Self-Energy of Electrons in Non-Perturbative QED \\ Ground states in non-relativistic quantum electrodynamics \\ Existence of Atoms and Molecules in Non-Relativistic Quantum Electrodynamics \\ A Bound on Binding Energies and Mass Renormalization in Models of Quantum Electrodynamics \\ Stability of a Model of Relativistic Quantum Electrodynamics \\ Bosonic Systems \\ Ground State Energy of the Low Density Bose Gas \\ Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional \\ The N5/3 Law for Bosons \\ The N7/5 Law for Charged Bosons \\ Ground State Energy of the One-Component Charged Bose Gas \\ Ground State Energy of the Two-Component Charged Bose Gas \\ Proof of Bose-Einstein Condensation for Dilute Trapped Gases \\ Superfluidity in dilute trapped Bose gases \\ One-Dimensional Basons in Three-Dimensional Traps", } @Book{Heil:2006:FPW, editor = "Christopher Heil and David F. Walnut", booktitle = "Fundamental Papers in Wavelet Theory", title = "Fundamental Papers in Wavelet Theory", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xviii + 878", year = "2006", ISBN = "0-691-11453-6 (hardcover), 0-691-12705-0 (paperback), 1-4008-2726-4", ISBN-13 = "978-0-691-11453-8 (hardcover), 978-0-691-12705-7 (paperback), 978-1-4008-2726-8", MRclass = "00B60 42-00 42C40 65T60 94A12", bibdate = "Thu Mar 8 08:32:32 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib", note = "With a foreword by Ingrid Daubechies. Introduction by John J. Benedetto.", ZMnumber = "1113.42001", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", tableofcontents = "Contributor Affiliations / ix \\ Preface: Christopher Heil and David F. Walnut / xiii \\ Acknowledgments / xiv \\ Foreword: Ingrid Daubechies / xv \\ Introduction: John J. Benedetto / 1 \\ Section I. Precursors in Signal Processing Introduction: Jelena Kova{\v{c}}evi{\'c} / 23 \\ 1. Peter J. Burt and Edward H. Adelson, The Laplacian pyramid as a compact image code, IEEE Trans. Commun., 31 (1983), 532--540 / 28 \\ 2. R. E. Crochiere, S. A. Webber, and J. L. Flanagan, Digital coding of speech in sub-bands, Bell System Technical J., 55 (1976), 1069--1085 / 37 \\ 3. D. Esteban and C. Galand, Application of quadrature mirror filters to split-band voice coding schemes, ICASSP'77, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 2, April 1977, 191--195 / 54 \\ 4. M. J. T. Smith and T. P. Barnwell III, A procedure for designing exact reconstruction filter banks for tree-structured subband coders, ICASSP'84, IEEE Internat. Conf. on Acoustics, Speech, and Signal Processing, 9, March 1984, 421--424 / 59 \\ 5. Fred Mintzer, Filters for distortion-free two-band multirate filter banks, IEEE Trans. Acoust., Speech, and Signal Proc., 33 (1985), 626--630 / 63 \\ 6. Martin Vetterli, Filter banks allowing perfect reconstruction, Signal Processing, 10 (1986), 219--244 / 68 \\ 7. P. P. Vaidyanathan, Theory and design of M-channel maximally decimated quadrature mirror filters with arbitrary M, having the perfect-reconstruction property, IEEE Trans. Acoust., Speech, and Signal Proc., 35 (1987), 476--492 / 94 \\ Section II. Precursors in Physics: Affine Coherent States Introduction: Jean-Pierre Antoine / 113 \\ 1. Erik W. Aslaksen and John R. Klauder, Continuous representation theory using the affine group, J. Math. Physics, 10 (1969), 2267--2275 / 117 \\ 2. A. Grossmann, and J. Morlet, Decomposition of Hardy functions into square integrable wavelets of constant shape, SIAM J. Math. Anal., 15 (1984), 723--736 / 126 \\ 3. A. Grossmann, J. Morlet, and T. Paul, Transforms associated to square integrable group representations I, J. Math. Physics, 26 (1985), 2473--2479 / 140 \\ Section III. Precursors in Mathematics: Early Wavelet Bases Introduction: Hans G. Feichtinger / 149 \\ 1. Alfred Haar, Zur Theorie der orthogonalen Funktionensysteme [On the theory of orthogonal function systems], Mathematische Annalen, 69 (1910), 331--371. Translated by Georg Zimmermann / 155 \\ 2. Philip Franklin, A set of continuous orthogonal functions, Mathematische Annalen, 100 (1928), 522--529 / 189 \\ 3. Jan-Olov Str{\"o}mberg, A modified Franklin system and higher-order spline systems on Rn as unconditional bases for Hardy spaces, Conf. on Harmonic Analysis in Honor of A. Zygmund, Vol. II, W. Beckner et al., eds., Wadsworth (Belmont, CA), (1983), 475--494 / 197 \\ 4. Yves Meyer, Principe d'incertitude, bases hilbertiennes et alg{\`e}bres d'operateurs [Uncertainty principle, Hilbert bases, and algebras of operators], Seminaire Bourbaki, 1985/86. Asterisque No. 145--146 (1987), 209--223. Translated by John Horv{\'a}th / 216 \\ 5. P. G. Lemari{\'e} and Y. Meyer, Ondelettes et bases hilbertiennes [Wavelets and Hilbert bases], Revista Matematica Iberoamericana, 2 (1986), 1--18. Translated by John Horv{\'a}th / 229 \\ 6. Guy Battle, A block spin construction of ondelettes I, Comm. Math. Physics, 110 (1987), 601--615 / 245 \\ Section IV. Precursors and Development in Mathematics: Atom and Frame Decompositions Introduction: Yves Meyer / 263 \\ 1. R. J. Duffin and A. C. Schaeffer, A class of nonharmonic Fourier series, Trans. Amer. Math. Soc., 72 (1952), 341--365 / 269 \\ 2. Ronald R. Coifman and Guido Weiss, Extensions of Hardy spaces and their use in analysis, Bull. Amer. Math. Soc., 83 (1977), 569--645 / 295 \\ 3. Ingrid Daubechies, A. Grossmann, and Y. Meyer, Painless nonorthogonal expansions, J. Math. Physics, 27 (1986), 1271--1283 / 372 \\ 4. Michael Frazier and Bj{\"o}rn Jawerth, Decompositions of Besov spaces, Indiana Univ. Math. J., 34 (1985), 777--799 / 385 \\ 5. Hans G. Feichtinger and K. H. Gr{\"o}chenig, Banach spaces related to integrable group representations and their atomic decompositions I, J. Funct. Anal., 86 (1989), 307--340 / 408 \\ 6. Ingrid Daubechies, The wavelet transform, time-frequency localization and signal analysis, IEEE Trans. Inform. Theory, 39 (1990), 961--1005 / 442 \\ Section V. Multiresolution Analysis Introduction: Guido Weiss / 489 \\ 1. Stephane G. Mallat, A theory for multiresolution signal decomposition: The wavelet representation, IEEE Trans. Pattern Anal. Machine Intell., 11 (1989), 674--693 / 494 \\ 2. Yves Meyer, Wavelets with compact support, Zygmund Lectures, U. Chicago (1987) / 514 \\ 3. Stephane G. Mallat, Multiresolution approximations and wavelet orthonormal bases for L2(R), Trans. Amer. Math. Soc., 315 (1989), 69--87 / 524 \\ 4. A. Cohen, Ondelettes, analysis multir{\'e}solutions et filtres miroirs en quadrature [Wavelets, multiresolution analysis, and quadrature mirror filters], Ann. Inst. H. Poincar{\'e}, Anal. Non Lin{\'e}aire, 7 (1990), 439--459. Translated by Robert D. Ryan / 543 \\ 5. Wayne M. Lawton, Tight frames of compactly supported affine wavelets, J. Math. Phys., 31 (1990), 1898--1901 / 560 \\ 6. Ingrid Daubechies, Orthonormal bases of compactly supported wavelets, Comm. Pure Appl. Math., 41 (1988), 909--996 / 564 \\ Section VI. Multidimensional Wavelets Introduction: Guido Weiss / 655 \\ 1. Yves Meyer, Ondelettes, fonctions splines et analyses gradu{\'e}es [Wavelets, spline functions, and multiresolution analysis], Rend. Sem. Mat. Univ. Politec. Torino, 45 (1987), 1--42. Translated by John Horv{\'a}th / 659 \\ 2. Karlheinz Gr{\"o}chenig, Analyse multi-{\'e}chelle et bases d'ondelettes [Multiscale analyses and wavelet bases], C. R. Acad. Sci. Paris S{\'e}rie I, 305 (1987), 13--17. Translated by Robert D. Ryan / 690 \\ 3. Jelena Kova{\v{c}}evi{\'c} and Martin Vetterli, Nonseparable multidimensional perfect reconstruction filter banks and wavelet bases for Rn, IEEE Trans. Inform. Theory, 38 (1992), 533--555 / 694 \\ 4. K. Gr{\"o}chenig and W. R. Madych, Multiresolution analysis, Haar bases and self-similar tilings of Rn, IEEE Trans. Inform. Theory, 38 (1992), 556--568 / 717 \\ Section VII. Selected Applications Introduction: Mladen Victor Wickerhauser / 733 \\ 1. G. Beylkin, R. Coifman, and V. Rokhlin, Fast wavelet transforms and numerical algorithms, I, Comm. Pure Appl. Math., 44 (1991), 141--183 / 741 \\ 2. Ronald A. DeVore, Bj{\"o}rn Jawerth, Vasil Popov, Compression of wavelet decompositions, Amer. J. Math., 114 (1992), 737--785 / 784 \\ 3. David L. Donoho and Iain M. Johnstone, Adapting to unknown smoothness by wavelet shrinkage, J. Amer. Statist. Assoc., 90 (1995), 1200--1224 / 833 \\ 4. St{\'e}phane Jaffard, Exposants de H{\"o}lder en des points donn{\'e}s et co{\'e}fficients d'ondelettes [H{\"o}lder exponents at given points and wavelet coefficients], C. R. Acad. Sci. Paris S{\'e}rie I, 308 (1989), 79--81. Translated by Robert D. Ryan / 858 \\ 5. Jerome M. Shapiro, Embedded image coding using zerotrees of wavelet coefficients, IEEE Trans. Signal Processing, 41 (1993), 3445--3462 / 861", } @Book{Gowers:2008:PCM, editor = "Timothy Gowers and June Barrow-Green and Imre Leader", booktitle = "The {Princeton} Companion to Mathematics", title = "The {Princeton} Companion to Mathematics", publisher = pub-PRINCETON, address = pub-PRINCETON:adr, pages = "xx + 1034", year = "2008", DOI = "https://doi.org/10.1515/9781400830398", ISBN = "0-691-11880-9 (hardcover)", ISBN-13 = "978-0-691-11880-2 (hardcover)", LCCN = "QA11.2 .P745 2008", bibdate = "Thu Jun 27 09:20:50 MDT 2013", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/histmath.bib; http://www.math.utah.edu/pub/tex/bib/sigact.bib; z3950.loc.gov:7090/Voyager", URL = "http://www.loc.gov/catdir/toc/ecip0818/2008020450.html", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", subject = "Mathematics", } @Book{Pilz:2009:IGG, editor = "J{\"u}rgen Pilz", booktitle = "Interfacing Geostatistics and {GIS}", title = "Interfacing Geostatistics and {GIS}", publisher = pub-SV, address = pub-SV:adr, pages = "", year = "2009", DOI = "https://doi.org/10.1007/978-3-540-33236-7", ISBN = "3-540-33235-9 (hardcover), 1-281-92749-X, 3-540-33236-7 (e-book)", ISBN-13 = "978-3-540-33236-7, 978-3-540-33235-0, 978-1-281-92749-1", LCCN = "QE33.2.S82 I58 2009", bibdate = "Sat Mar 10 14:29:20 2018", bibsource = "http://www.math.utah.edu/pub/bibnet/authors/d/daubechies-ingrid.bib; http://www.math.utah.edu/pub/tex/bib/gnu.bib", abstract = "Most of the papers contained in this volume grew out of presentations given at the International Workshop StatGIS03 --- Interfacing Geostatistics, GIS and Spatial Data Bases, which was held in P{\"o}rtschach, Austria, Sept. 29--Oct. 1, 2003, and ensuing discussions, afterwards. Some of the papers are new and have not been given at the conference. Therefore, most of the papers should not be considered as conference proceedings in its original sense but rather more as self-contained and actual contributions to the theme of the conference, the interfacing between geostatistics, geoinformation systems and spatial data base management. Although some progress has been made toward interfacing, we still feel that there is only little overlap between the different communities.The present volume is intended to provide a bridge between specialists working in different areas. According to the topics of the above mentioned workshop, this volume has been divided into three parts: Part I starts with general aspects of geostatistical model building (Pebesma) and then new methodological developments in geostatitics are presented, in particular this pertains to neural networks (Parkin and Kanevski), Gibbs fields as used in statistical physics (Hristopulos). Furthermore, new developments in Bayesian spatial interpolation with skewed heavy-tailed data and new classification methods based on wavelets (Hofer et al.) and support vector machines (Chaouch et al.) are presented.", acknowledgement = ack-nhfb, ORCID-numbers = "Daubechies, Ingrid/0000-0002-6472-1056", tableofcontents = "How we build geostatistical models and deal with their output / Edzer J. Pebesma \\ Spartan random fields: smoothness properties of Gaussian densities and definition of certain non-Gaussian models / Dionissios T. Hristopulos \\ Bayesian trans-Gaussian Kriging with log-log transformed skew data / G{\"u}nter Sp{\"o}ck, Hannes Kazianka, and J{\"u}rgen Pilz \\ Kriging and splines: theoretical approach to linking spatial prediction methods / Philipp Pluch \\ ANNEX model: artificial neural networks with external drift environmental data mapping / R. Parkin and M. Kanevski \\ Regional classification of indoor radon data with support vector machines and geostatistical tools / A. Chaouch [and others] \\ Daubechies wavelets for identification of rock variants from IR spectra / Vera Hofer, J{\"u}rgen Pilz, and Thorgeir S. Helgason \\ Simulating the effects of rural development policies on land use: evidence from spatially explicit modeling in the Central Highlands of Vietnam / Daniel M{\"u}ller and Darla K. Munroe \\ Kriged road-traffic maps / Hans Braxmeier, Volker Schmidt, and Evgeny Spodarev \\ On evaluation of precipitation fields with rain station data / Bodo Ahrens \\ Robust spatial correlation analysis of the ETEX-1 tracer data / Syed Shibli and Gr{\'e}goire Dubois \\ Fuzzy model of soil polygons for managing the imprecision / Rangsima Sunila and Pekka Horttanainen \\ Mapping the contaminant legacy of a coking plant, The Avenue, Chesterfield, UK / Monica Palaseanu-Lovejoy, Ian Douglas, and Robert Barr \\ A note on numerical solutions of least squares adjustment in GNU project gama / Ale{\v{s}} {\v{C}}epek and Jan Pytel \\ Presentation of entrepreneurship data and aspects of spatial modeling / Robert J. Breitenecker, J{\"u}rgen Pilz, and Erich J. Schwarz \\ GIS, users, developers, and spatial statistics: on monarchs and their clothing / Konstantin Krivoruchko and Roger Bivand \\ Reassignment of the farm structure statistical data using GIS and spatialisation of the results based on remotely sensed data / M. Sambrakos and T. Tsiligiridis \\ Epidemiological information systems / V. G{\'o}mez-Rubio, J. Ferr{\'a}ndiz-Ferragud, and A. L{\'o}pez-Qu{\'i}lez \\ Geomatics, epidemiology and biostatistics: an application to acute coronary syndrome / Th{\'e}ophile Niyonsenga [and others] \\ Interactive cumulative curves for exploratory classification maps / Gennady Andrienko and Natalia Andrienko \\ Combining RembeddedPostgres and PostGIS / Albrecht Gebhardt", }