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REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
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1
|
|
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2
|
|
| |
3
|
|
| |
4
|
M. O. Benouamer, D. Michelucci, and B. Peroche. Error-free boundary evaluation based on a lazy rational arithmetic: A detailed implementation. Computer Aided Design, 26(6):403- 416, June 1994.
|
| |
5
|
H. Blum. A transformation for extracting new descriptors of shape. In W. Wathen-Durm, editor, Models for the Perception of Speech and Visual Form, pages 362-380. MIT Press, 1'967.
|
| |
6
|
J. W. Brandt. Describing a solid with the three-dimensional skeleton. In J. D. Warren, editor, Proceedings of the International Society for Optical Engineering Volume 1830, Curves and Surfaces in Computer Vision and Graphics 111, pages 258-269. SPIE, Boston, 1992.
|
 |
7
|
Hervé Brönnimann , Ioannis Z. Emiris , Victor Y. Pan , Sylvain Pion, Computing exact geometric predicates using modular arithmetic with single precision, Proceedings of the thirteenth annual symposium on Computational geometry, p.174-182, June 04-06, 1997, Nice, France
[doi> 10.1145/262839.262948]
|
 |
8
|
|
 |
9
|
|
| |
10
|
|
| |
11
|
|
| |
12
|
K.L. Clarkson. Safe and effective determinant evaluation. In Proc. 33rd Annu. IEEE Sympos. Found. Comput. Sci., pages 387-395, 1992.
|
| |
13
|
|
| |
14
|
|
| |
15
|
J. Demmel. LAPACK: A portable linear algebra library for supercomputers. In Proceedings of the 1989 IEEE Control Systems Society Workshop on Computer-Aided Control System Design, Tampa, FL, Dec 1989. IEEE.
|
| |
16
|
A. L. Dixon. The eliminant of the equations of four quadric surfaces. Proc. London Math. Soc., pages 340-352, 1910.
|
| |
17
|
D. Dutta and C. M. Hoffmann. A geometric investigation of the skeleton of CSG objects. In Proc. ASME Conf. Design Automation, 1990.
|
| |
18
|
D. Dutta and C. M. Hoffmann. On the skeleton of simple CSG objects. Journal of Mechanical Design, ASME Transactions, 115(I):87-94, 1993.
|
| |
19
|
G. Elber and M-S. Kim. The bisector surface of freeform rational space curves. Technical Report CIS Report #9619, Technion-Israel institute of Technology, September 1996.
|
 |
20
|
|
| |
21
|
S. J. Fortune. A sweepline algorithm for Voronoi diagrams. Algorithmica, 2:153-174, 1987.
|
| |
22
|
LiDIA Group. A library for computational number theory. Technical report, TH Darmstadt, Fachbereich Informatik, Institut fur Theoretische Informatik, 1997.
|
| |
23
|
M. Held. On computing Voronoi diagrams of convex polyhedra by means of wavefront propagation. In Proc. 6th Canad. Conf. Comput. Geom., pages 128-133, 1994.
|
| |
24
|
Martin Held. Voronoi diagrams and offset curves of curvilinear polygons. Computer-Aided Design, 30(4):287-300, 1998.
|
| |
25
|
C. M. Hoffmann. How to construct the skeleton of csg objects, in A. Bowyer and J. Davenport, editors, Proceedings of the Fourth IMA Conference, The Mathematics of Surfaces, University of Bath, UK, September 1990. Oxford University Press, New York, ~994.
|
| |
26
|
|
| |
27
|
Kenneth E Hoff, III , Tim Culver , John Keyser , Ming Lin , Dinesh Manocha, Fast Computation of Generalized Voronoi Diagrams Using Graphics Hardware, University of North Carolina at Chapel Hill, Chapel Hill, NC, 1999
|
| |
28
|
|
| |
29
|
|
 |
30
|
John Keyser , Shankar Krishnan , Dinesh Manocha, Efficient and accurate B-rep generation of low degree sculptured solids using exact arithmetic, Proceedings of the fourth ACM symposium on Solid modeling and applications, p.42-55, May 14-16, 1997, Atlanta, Georgia, United States
[doi> 10.1145/267734.267753]
|
 |
31
|
John Keyser , Tim Culver , Dinesh Manocha , Shankar Krishnan, MAPC: a library for efficient and exact manipulation of algebraic points and curves, Proceedings of the fifteenth annual symposium on Computational geometry, p.360-369, June 13-16, 1999, Miami Beach, Florida, United States
[doi> 10.1145/304893.304990]
|
| |
32
|
|
| |
33
|
D.T. Lee. Medial axis transformation of a planar shape. IEEE Trans. Pattern Anal. Mach. Intell., PAMI-&363-369, 1982.
|
| |
34
|
ES. Macaulay. On ..some formula in elimination. Proceedings of London Mathematical Society, 1 (33):3-27, May tt902.
|
| |
35
|
V. Milenkovic. Robust construction of the Voronoi diagram of a polyhedron. In Proc. 5th Canad. Conf. Comput. Geom., pages 473-478, 1993.
|
| |
36
|
P. S. Milne. On the solutions of a set of polynomial equations. In Symbolic and Numerical Computation for Artificial Intelligence, pages 89-102, 1992.
|
| |
37
|
|
| |
38
|
Jayachandra Reddy and George Turkiyyah. Comp~tation of 3D skeletons using a generalized Delaunay triangulation technique. Computer-Aided Design, 27(9):677-694, 1995.
|
 |
39
|
|
 |
40
|
D. J. Sheehy , C. G. Armstrong , D. J. Robinson, Computing the medial surface of a solid from a domain Delaunay triangulation, Proceedings of the third ACM symposium on Solid modeling and applications, p.201-212, May 17-19, 1995, Salt Lake City, Utah, United States
[doi> 10.1145/218013.218062]
|
 |
41
|
Evan C. Sherbrooke , Nicholas M. Patrikalakis , Erik Brisson, Computation of the Medial Axis Transform of 3-D polyhedra, Proceedings of the third ACM symposium on Solid modeling and applications, p.187-200, May 17-19, 1995, Salt Lake City, Utah, United States
[doi> 10.1145/218013.218059]
|
| |
42
|
V. Srinivasan, L. R. Nackman, J.-M. Tang, and S. N. Meshkat. Automatic mesh generation using the symmetric axis transform of polygonal domains. Proc. IEEE, 80(9):1485-1501, September 1992.
|
| |
43
|
|
| |
44
|
|
| |
45
|
Jules Vleugels and Mark Overmars. Approximating general-. ized Voronoi diagrams in any dimension. Technical R epol~: UU-CS- 1995-14, Department of Computer Science, Utrecht University, 1995.
|
| |
46
|
E E. Wolter. Cut locus and medial axis in global shape interrogation and representation. Computer Aided Geometric" Design, 1992.
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47
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CITED BY 23
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John Keyser , Tim Culver , Dinesh Manocha , Shankar Krishnan, MAPC: a library for efficient and exact manipulation of algebraic points and curves, Proceedings of the fifteenth annual symposium on Computational geometry, p.360-369, June 13-16, 1999, Miami Beach, Florida, United States
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Herbert Edelsbrunner , John Harer , Vijay Natarajan , Valerio Pascucci, Morse-smale complexes for piecewise linear 3-manifolds, Proceedings of the nineteenth annual symposium on Computational geometry, June 08-10, 2003, San Diego, California, USA
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Shankar Krishnan , Mark Foskey , Tim Culver , John Keyser , Dinesh Manocha, PRECISE: efficient multiprecision evaluation of algebraic roots and predicates for reliable geometric computation, Proceedings of the seventeenth annual symposium on Computational geometry, p.274-283, June 2001, Medford, Massachusetts, United States
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John Keyser , Tim Culver , Mark Foskey , Shankar Krishnan , Dinesh Manocha, ESOLID---A System for Exact Boundary Evaluation, Proceedings of the seventh ACM symposium on Solid modeling and applications, June 17-21, 2002, Saarbrücken, Germany
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