| Efficient exact evaluation of signs of determinants |
| Full text |
Pdf
(1.03 MB)
|
| Source
|
Annual Symposium on Computational Geometry
archive
Proceedings of the thirteenth annual symposium on Computational geometry
table of contents
Nice, France
Pages: 166 - 173
Year of Publication: 1997
ISBN:0-89791-878-9
|
|
Authors
|
|
Hervé Brönnimann
|
INRIA Sophia-Antipolis, BP 93, 06902 Sophia-Antipolis, cedex (France)
|
|
Mariette Yvinec
|
INRIA Sophia-Antipolis and CNRS, Laboratoire I3S, BP 145, 06903 Sophia-Antipolis cedex (France)
|
|
| Sponsors |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 3, Downloads (12 Months): 25, Citation Count: 5
|
|
|
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.
| |
ABD+94
|
F. Avnaim, J.-D. Boissonnat, O. Devillers, F. Preparata, and M. Yvinec. Evaluating signs of determinants using single-precision arithmetic. Research Report 2306, INRIA, BP93, 06902 Sophia-Antipolis, France, 1994.
|
 |
ABD+95
|
F. Avnaim , J.-D. Boissonnat , O. Devillers , F. P. Preparata , M. Yvinec, Evaluation of a new method to compute signs of determinants, Proceedings of the eleventh annual symposium on Computational geometry, p.416-417, June 05-07, 1995, Vancouver, British Columbia, Canada
[doi> 10.1145/220279.220329]
|
 |
BKM+95
|
C. Burnikel , J. Könemann , K. Mehlhorn , S. Näher , S. Schirra , C. Uhrig, Exact geometric computation in LEDA, Proceedings of the eleventh annual symposium on Computational geometry, p.418-419, June 05-07, 1995, Vancouver, British Columbia, Canada
[doi> 10.1145/220279.220330]
|
| |
C+96
|
B. Chazelle et al. Application challenges to computational geometry: CG impact task force report. Technical Report TR-521-96, Princeton Univ.. April 1996.
|
| |
Cla92
|
K.L. Clarkson. Safe and effective determinant evaluation. In Proc. 33rd A nnu. IEEE Sympos. Found. Comput. Sci., pages 387- 395, 1992.
|
| |
DP96
|
|
| |
FM67
|
G. Forsythe and C. Moler. Computer solutions of linear algebraic systems. Prentice Hall, 1967.
|
 |
For92
|
|
 |
FV93
|
|
 |
HHK88
|
C. M. Hoffmann , J. E. Hopcroft , M. S. Karasick, Towards implementing robust geometric computations, Proceedings of the fourth annual symposium on Computational geometry, p.106-117, June 06-08, 1988, Urbana-Champaign, Illinois, United States
[doi> 10.1145/73393.73405]
|
| |
Hof89
|
|
 |
KLN91
|
|
 |
LM90
|
|
| |
Mil89
|
V. Milenkovic. Double precision geometry: a general technique for calculating line and segment intersections using rounded arithmetic, in Proc. 30th A nnu. IEEE Sympos. Found. Comput. Sci., pages 500-505, 1989.
|
 |
She96
|
|
| |
SI89
|
|
| |
SI94
|
K. Sugihara and M. Iri. A robust topologyoriented incremental algorithm for Voronoi diagrams. Internat. J. Comput. Geom. Appl., 4:179-228, 1994.
|
| |
Yap93
|
C.K. Yap. Towards exact geometric computation. In Proc. 5th Canad. Conf. Comput. Geom., pages 405-419, 1993.
|
| |
YD95
|
C.K. Yap and T. Dubhe. The exact computation paradigm. In D. Du and F. Hwang, editors, Computing in Euclidean Geometry. World Scientific Press, 1995.
|
CITED BY 5
|
|
Tim Culver , John Keyser , Dinesh Manocha, Accurate computation of the medial axis of a polyhedron, Proceedings of the fifth ACM symposium on Solid modeling and applications, p.179-190, June 08-11, 1999, Ann Arbor, Michigan, United States
|
|
|
Hervé Brönnimann , Christoph Burnikel , Sylvain Pion, Interval arithmetic yields efficient dynamic filters for computational geometry, Proceedings of the fourteenth annual symposium on Computational geometry, p.165-174, June 07-10, 1998, Minneapolis, Minnesota, United States
|
|
|
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
|
|
|
|
|
|
|
|