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» On convex complexity measures
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COMPGEOM
2004
ACM
15 years 7 months ago
The number of lines tangent to arbitrary convex polyhedra in 3D
We prove that the lines tangent to four possibly intersecting convex polyhedra in   3 with n edges in total form Θ(n2 ) connected components in the worst case. In the generic ca...
Hervé Brönnimann, Olivier Devillers, V...
COMPGEOM
2005
ACM
15 years 3 months ago
Star splaying: an algorithm for repairing delaunay triangulations and convex hulls
Star splaying is a general-dimensional algorithm that takes as input a triangulation or an approximation of a convex hull, and produces the Delaunay triangulation, weighted Delaun...
Jonathan Richard Shewchuk
SMA
2009
ACM
134views Solid Modeling» more  SMA 2009»
15 years 8 months ago
Exact Delaunay graph of smooth convex pseudo-circles: general predicates, and implementation for ellipses
We examine the problem of computing exactly the Delaunay graph (and the dual Voronoi diagram) of a set of, possibly intersecting, smooth convex pseudo-circles in the Euclidean pla...
Ioannis Z. Emiris, Elias P. Tsigaridas, George M. ...
COMPGEOM
2004
ACM
15 years 7 months ago
On empty convex polygons in a planar point set
Let P be a set of n points in general position in the plane. Let Xk(P ) denote the number of empty convex k-gons determined by P. We derive, using elementary proof techniques, sev...
Rom Pinchasi, Rados Radoicic, Micha Sharir
NIPS
2008
15 years 2 months ago
Improved Moves for Truncated Convex Models
We consider the problem of obtaining the approximate maximum a posteriori estimate of a discrete random field characterized by pairwise potentials that form a truncated convex mod...
M. Pawan Kumar, Philip H. S. Torr