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» Bounded-degree polyhedronization of point sets
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SODA
1992
ACM
140views Algorithms» more  SODA 1992»
13 years 6 months ago
Separation and Approximation of Polyhedral Objects
Given a family of disjoint polygons P1, P2, : : :, Pk in the plane, and an integer parameter m, it is NP-complete to decide if the Pi's can be pairwise separated by a polygon...
Joseph S. B. Mitchell, Subhash Suri
SIAMDM
2010
105views more  SIAMDM 2010»
13 years 1 days ago
Minimal Inequalities for an Infinite Relaxation of Integer Programs
We show that maximal S-free convex sets are polyhedra when S is the set of integral points in some rational polyhedron of Rn . This result extends a theorem of Lov
Amitabh Basu, Michele Conforti, Gérard Corn...
COMPGEOM
1991
ACM
13 years 8 months ago
A Pivoting Algorithm for Convex Hulls and Vertex Enumeration of Arrangements and Polyhedra
We present a new pivot-based algorithm which can be used with minor modification for the enumeration of the facets of the convex hull of a set of points, or for the enumeration o...
David Avis, Komei Fukuda
SIAMDM
2011
13 years 7 days ago
On Maximal S-Free Convex Sets
Let S ⊆ Zn satisfy the property that conv(S) ∩ Zn = S. Then a convex set K is called an S-free convex set if int(K) ∩ S = ∅. A maximal S-free convex set is an S-free convex...
Diego A. Morán R., Santanu S. Dey
GMP
2000
IEEE
117views Solid Modeling» more  GMP 2000»
13 years 9 months ago
Distance Computation between Non-Convex Polyhedra at Short Range Based on Discrete Voronoi Regions
An algorithm for calculating the minimum distance between non-convex polyhedra is described. A polyhedron is represented by a set of triangles. In calculating the distance between...
Katsuaki Kawachi, Hiromasa Suzuki