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Abstract: We show that in the worst case,\Omega\Gamma n dd=2e\Gamma1 +n log n) sidedness queries are required to determine whether the convex hull of n points in IR d is simplicial, or to determine the number of convex hull facets. This lower bound matches known upper bounds in any odd dimension. Our result follows from a straightforward and completely constructive adversary argument. A key step in the proof is the construction of a quasi-simplicial n-vertex polytope with\Omega\Gamma n... (Update)
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BibTeX entry: (Update)
J. Erickson. New lower bounds for convex hull problems in odd dimensions. In Proc. 12th Ann. ACM Symp. Comput. Geom., pages 1--9, 1996. http://citeseer.ist.psu.edu/article/erickson96new.html More
@inproceedings{ erickson96new,
author = "Jeff Erickson",
title = "New Lower Bounds for Convex Hull Problems in Odd Dimensions",
booktitle = "Symposium on Computational Geometry",
pages = "1-9",
year = "1996",
url = "citeseer.ist.psu.edu/article/erickson96new.html" }
Citations (may not include all citations):335 Applications of random sampling in computational geometry - Clarkson, Shor - 1989
124 Lower bounds for algebraic computation trees (context) - Ben-Or - 1983
118 Ray shooting and parametric search (context) - Agarwal, Matousek - 1993
74 A pivoting algorithm for convex hulls and vertex enumeration.. (context) - Avis, Fukuda - 1992
69 Small-dimensional linear programming and convex hulls made e.. (context) - Seidel - 1991
68 An efficient algorithm for determining the convex hull of a .. (context) - Graham - 1972
64 The ultimate planar convex hull algorithm (context) - Kirkpatrick, Seidel - 1986
56 Constructing higher-dimensional convex hulls at logarithmic .. (context) - Seidel - 1986
54 Output-sensitive results on convex hulls (context) - Chan - 1995
53 Oriented Projective Geometry: A Framework for Geometric Comp.. (context) - Stolfi - 1991
53 Convex hulls of finite sets of points in two and three dimen.. (context) - Preparata, Hong - 1977
43 An optimal convex hull algorithm in any fixed dimension (context) - Chazelle - 1993
36 On ray shooting in convex polytopes (context) - Matousek, Schwarzkopf - 1993
34 volume 152 of Graduate Texts in Mathematics (context) - Ziegler, Polytopes - 1994
32 An algorithm for convex polytopes (context) - Chand, Kapur - 1970
31 Outputsensitive construction of polytopes in four dimensions.. (context) - Chan, Snoeyink et al. - 1995
24 Derandomizing an output-sensitive convex hull algorithm in t.. (context) - Chazelle, Matousek - 1992
23 Finding the convex hull facet by facet (context) - Swart - 1985
21 problems in computational geometry (context) - Gajentaan, Overmars et al. - 1995
20 Better lower bounds on detecting affine and spherical degene.. - Erickson, Seidel - 1995
19 More output-sensitive geometric algorithms (context) - Clarkson - 1994
14 Neighborly and cyclic polytopes (context) - Gale - 1963
13 A convex hull algorithm optimal for point sets in even dimen.. (context) - Seidel - 1981
12 Lower bounds for linear satisfiability problems - Erickson - 1995
11 A lower bound to finding convex hulls (context) - Yao - 1981
10 Degenerate convex hulls in high dimensions without extra sto.. - Rote - 1992
9 De functionibus alternantibus earumque divisione per product.. (context) - Jacobi
6 Revised edition (context) - Grunbaum, Wiley et al. - 1967
5 A method for proving lower bounds for certain geometric prob.. (context) - Seidel - 1985
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Documents on the same site (http://compgeom.cs.uiuc.edu/~jeffe/pubs/convex.html): More
New Lower Bounds for Convex Hull Problems in Odd Dimensions - Erickson (1996) (Correct)
New Lower Bounds for Convex Hull Problems in Odd Dimensions.. - Erickson (1995) (Correct)
New Lower Bounds for Convex Hull Problems in Odd Dimensions - Erickson (1996) (Correct)
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