| Constructing higher-dimensional convex hulls at logarithmic cost per face |
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Annual ACM Symposium on Theory of Computing
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Proceedings of the eighteenth annual ACM symposium on Theory of computing
table of contents
Berkeley, California, United States
Pages: 404 - 413
Year of Publication: 1986
ISBN:0-89791-193-8
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Author
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R Seidel
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Computer Science Department, Cornell University, Ithaca N.Y. and Digital Equipment Corporation Systems Research Center, Palo Alto, California
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Downloads (6 Weeks): 8, Downloads (12 Months): 51, Citation Count: 38
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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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Bhattacharya, B. Application of Computational Geometry to Pattern Recognition Problems. Simon Fraser Univ. CS Tech.Rep. 82-3 (1982).
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B-M
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Bruggesser, H. and Mani, P., Shellable Decompositions of Cells and Spheres. Math. Scand. 29 (1971), 197-205.
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Dyer, M.E., The Complexity of Vertex Enumeration Methods. Math. Oper. Res. 8 (1983), 381-402.
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Ga
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Graham, R.L., An Efficient Algorithm for Determining the Convex Hull of a Finite Planar Set. Inform. Proc. Lett. 1 (1972), 132-133.
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K
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Kallay, M., Convex Hull Algorithms for Higher Dimensions. Manuscript (1981).
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K-S
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M-S
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McMullen, P. and Shephard, G.C., Convex Polytopes and the Upper Bound Conjecture. London Math. Soc. Lecture Notes Series, vol 3, Cambridge Univ. Press (1971).
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Mattheiss, T.H. and Rubin, D.S., A Survey and Comparison of Methods for Finding All Vertices of Convex Polyhedral Sets. Math. Oper. Res. 5 (1980), 167-185.
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Rey, C. and Ward, R., An On-Line Algorithm for Determining Convex Polytopes. Manuscript, Dept. of EE, Univ. of B.C. (1984).
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S
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Swart, G., Finding the Convex Hull Facet by Facet. J. of Algorithms 6 (1985), 17-48.
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CITED BY 38
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Timothy M. Chan, Output-sensitive results on convex hulls, extreme points, and related problems, Proceedings of the eleventh annual symposium on Computational geometry, p.10-19, June 05-07, 1995, Vancouver, British Columbia, Canada
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Christoph Burnikel , Kurt Mehlhorn , Stefan Schirra, On degeneracy in geometric computations, Proceedings of the fifth annual ACM-SIAM symposium on Discrete algorithms, p.16-23, January 23-25, 1994, Arlington, Virginia, United States
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B. Chazelle , H. Edelsbrunner , L. Guibas , M. Sharir, Lines in space-combinators, algorithms and applications, Proceedings of the twenty-first annual ACM symposium on Theory of computing, p.382-393, May 14-17, 1989, Seattle, Washington, United States
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Tomonari Masada , Hiroshi Imai , Keiko Imai, Enumeration of regular triangulations, Proceedings of the twelfth annual symposium on Computational geometry, p.224-233, May 24-26, 1996, Philadelphia, Pennsylvania, United States
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Li Zhang , Harish Devarajan , Julien Basch , Piotr Indyk, Probabilistic analysis for combinatorial functions of moving points, Proceedings of the thirteenth annual symposium on Computational geometry, p.442-444, June 04-06, 1997, Nice, France
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Timothy M. Y. Chan , Jack Snoeyink , Chee-Keng Yap, Output-sensitive construction of polytopes in four dimensions and clipped Voronoi diagrams in three, Proceedings of the sixth annual ACM-SIAM symposium on Discrete algorithms, p.282-291, January 22-24, 1995, San Francisco, California, United States
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Gary L. Miller , Dafna Talmor , Shang-Hua Teng , Noel Walkington, A Delaunay based numerical method for three dimensions: generation, formulation, and partition, Proceedings of the twenty-seventh annual ACM symposium on Theory of computing, p.683-692, May 29-June 01, 1995, Las Vegas, Nevada, United States
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Kurt Mehlhorn , Stefan Näher , Thomas Schilz , Stefan Schirra , Michael Seel , Raimund Seidel , Christian Uhrig, Checking geometric programs or verification of geometric structures, Proceedings of the twelfth annual symposium on Computational geometry, p.159-165, May 24-26, 1996, Philadelphia, Pennsylvania, United States
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