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BibTeX entry
@Article{Ranjan:1996:CUS,
author = "Vishwa Ranjan and Alain Fournier",
title = "Creating union of spheres models from multiple views",
journal = j-J-GRAPHICS-TOOLS,
volume = "1",
number = "4",
pages = "21--39",
year = "1996",
CODEN = "JGTOFD",
ISSN = "1086-7651",
ISSN-L = "1086-7651",
bibdate = "Thu Oct 12 17:08:13 2000",
bibsource = "http://www.acm.org/jgt/issues.html;
http://www.math.utah.edu/pub/tex/bib/jgraphtools.bib",
URL = "http://www.acm.org/jgt/papers/RanjanFournier96/",
abstract = "In this paper, we present a method to obtain a {\em
union of spheres (UoS)\/} model of an object by
integrating the information obtained from different
views, each view created by point-sampling of the
visible surface of the object. The boundary points can
be obtained from multiple range-finder images, or by
ray-tracing a model of the object (if available in a
ray-traceable form) from different views. The algorithm
consists of two parts: construction and simplification.
The construction method is based on the Delaunay
tetrahedralization of points in three dimensions and
uses the half-space constraints imposed by the
visibility directions of boundary points. The
simplification method is based on the concept of {\em
sphericity}. Sphericity is a quantity that measures how
well a set of spheres is approximated by a single
sphere. This allows us to reduce the number of
primitives in a controlled way, while keeping the union
of spheres model. It can also be used to stabilize the
union of spheres model, i.e., to make it independent of
the noise in the samples or other small distortions in
the data. Several examples illustrate the algorithm.",
acknowledgement = ack-nhfb,
journal-URL = "http://www.tandfonline.com/loi/ujgt20",
}
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6(2)1,
7(2)1,
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8(3)41,
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2(2)9,
3(1)1,
3(2)1,
3(2)21,
3(3)1,
4(1)39,
4(3)11,
4(4)11,
5(4)25,
6(3)29,
7(1)33,
7(1)45,
7(4)69,
8(3)1,
9(1)23,
9(2)21,
15(3)152
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2(4)45,
3(3)29,
4(1)11,
5(2)25,
5(2)33,
5(4)25,
6(4)13,
7(1)13,
7(4)9,
8(2)41,
8(3)23
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1(2)1,
8(2)41
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1(2)31,
3(1)15,
5(1)27,
6(1)19,
6(3)1,
7(3)43,
7(4)3,
8(1)33,
15(3)183
- small,
1(3)13,
2(2)1,
3(3)29,
7(1)23,
7(1)45,
7(2)9,
8(1)33,
8(2)1,
8(4)1,
8(4)25,
9(1)23,
17(1)45
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4(2)7,
6(2)27,
9(2)11,
9(3)1,
9(3)41,
13(3)35,
17(1)45
- surface,
1(2)1,
1(2)5,
1(2)25,
1(3)7,
1(3)13,
2(2)9,
2(2)31,
2(3)15,
2(3)29,
3(1)43,
3(2)15,
3(4)33,
4(1)1,
4(2)1,
4(3)1,
4(4)37,
5(1)27,
5(3)1,
5(3)35,
6(2)27,
6(3)17,
6(4)1,
6(4)29,
6(4)41,
7(1)33,
7(4)43,
7(4)69,
8(4)1,
8(4)25,
9(1)1,
9(2)21,
9(3)41,
11(2)1,
12(3)7,
14(1)17,
14(2)61,
14(3)1,
14(3)35,
15(1)49
- three,
1(2)5,
1(2)31,
1(3)29,
2(3)37,
2(4)25,
3(2)21,
3(3)29,
4(3)11,
5(4)13,
6(1)29,
6(3)45,
7(1)23,
7(2)27,
8(1)25,
8(2)17,
8(3)1
- tracing, ray-,
1(4)41,
5(1)27
- two,
1(1)3,
1(2)5,
1(3)1,
2(2)9,
2(2)25,
2(3)45,
2(4)1,
4(1)39,
4(3)11,
4(3)35,
5(1)23,
5(2)33,
5(3)11,
6(1)35,
6(2)1,
6(3)29,
6(3)45,
6(4)13,
7(1)1,
7(1)23,
7(2)17,
7(3)43,
8(1)25,
8(1)33,
8(2)31,
8(2)41,
8(4)21,
11(1)37,
14(1)63
- union,
7(4)43
- use,
1(2)25,
1(3)29,
2(3)1,
2(3)29,
2(3)37,
2(4)1,
3(1)15,
3(2)1,
3(3)1,
3(3)29,
3(4)33,
4(1)11,
4(2)7,
4(3)1,
4(3)11,
4(3)23,
5(1)1,
5(2)25,
5(3)35,
5(4)13,
5(4)33,
6(1)7,
6(1)19,
6(2)1,
6(2)17,
6(3)37,
7(1)1,
7(2)1,
7(2)9,
7(4)3,
7(4)19,
7(4)91,
8(1)3,
8(2)1,
8(3)23,
8(4)37,
9(3)21
- used,
1(3)1,
1(3)7,
1(3)13,
1(3)29,
2(1)1,
2(1)29,
2(2)9,
2(2)25,
2(3)29,
2(3)45,
2(4)15,
3(1)43,
3(2)21,
3(3)1,
3(3)29,
4(1)1,
4(4)11,
4(4)37,
5(1)9,
6(1)29,
6(2)1,
6(2)43,
6(3)1,
6(4)41,
7(3)1,
7(3)19,
7(4)33,
7(4)53,
8(1)3,
8(2)1,
8(2)17,
8(3)41,
8(4)1,
8(4)21,
8(4)25,
9(1)1,
9(3)1
- view,
3(1)15,
3(3)1,
3(4)13,
5(1)9,
6(2)1,
8(1)3,
8(4)1
- visibility,
1(4)41,
3(4)13,
4(3)11,
5(1)23,
5(2)33,
16(2)71
- visible,
1(4)1,
2(2)31,
3(1)15,
7(1)1,
7(2)41,
7(3)27,
8(3)23,
8(3)33
- way,
1(2)5,
1(2)25,
2(4)1,
3(1)43,
3(2)15,
3(3)1,
5(4)9,
7(4)19,
8(1)33,
9(3)21
- well,
1(1)21,
1(4)1,
2(1)29,
2(2)1,
2(2)9,
2(4)1,
3(1)1,
3(3)29,
4(1)39,
5(3)1,
5(3)11,
6(1)19
- while,
2(1)1,
2(2)31,
2(4)15,
4(1)39,
5(1)27,
5(3)11,
7(4)33,
8(2)31,
9(2)21