Entry Bajaj:1993:HIL from tog.bib

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BibTeX entry

@Article{Bajaj:1993:HIL,
  author =       "Chanderjit Bajaj and Ihm Insung and Joe Warren",
  title =        "Higher-Order Interpolation and Least-Squares
                 Approximation Using Implicit Algebraic Surfaces",
  journal =      j-TOG,
  volume =       "12",
  number =       "4",
  pages =        "327--347",
  month =        oct,
  year =         "1993",
  CODEN =        "ATGRDF",
  ISSN =         "0730-0301",
  bibdate =      "Fri Jan 5 07:58:42 MST 1996",
  URL =          "http://www.acm.org/pubs/toc/Abstracts/0730-0301/159734.html",
  abstract =     "In this article, we characterize the solution space of
                 low-degree, implicitly defined, algebraic surfaces
                 which interpolate and/or least-squares approximate a
                 collection of scattered point and curve data in
                 three-dimensional space. The problem of higher-order
                 interpolation and least-squares approximation with
                 algebraic surfaces under a proper normalization reduces
                 to a quadratic minimization problem with elegant and
                 easily expressible solutions. We have implemented our
                 algebraic surface-fitting algorithms, and included them
                 in the distributed and collaborative geometric
                 environment SHASTRA. Several examples are given to
                 illustrate how our algorithms are applied to algebraic
                 surface design.",
  acknowledgement = ack-nhfb,
  keywords =     "algorithms",
  subject =      "{\bf I.3.5}: Computing Methodologies, COMPUTER
                 GRAPHICS, Computational Geometry and Object Modeling,
                 Curve, surface, solid, and object representations. {\bf
                 G.1.2}: Mathematics of Computing, NUMERICAL ANALYSIS,
                 Approximation, Least squares approximation. {\bf
                 G.1.6}: Mathematics of Computing, NUMERICAL ANALYSIS,
                 Optimization. {\bf I.3.5}: Computing Methodologies,
                 COMPUTER GRAPHICS, Computational Geometry and Object
                 Modeling, Geometric algorithms, languages, and systems.
                 {\bf F.2.1}: Theory of Computation, ANALYSIS OF
                 ALGORITHMS AND PROBLEM COMPLEXITY, Numerical Algorithms
                 and Problems, Computations on polynomials. {\bf J.6}:
                 Computer Applications, COMPUTER-AIDED ENGINEERING. {\bf
                 G.1.1}: Mathematics of Computing, NUMERICAL ANALYSIS,
                 Interpolation, Interpolation formulas.",
}

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