SODA
2012
ACM
12 years 4 months ago
2012
ACM
The problem of approximating convex bodies by polytopes is an important and well studied problem. Given a convex body K in Rd , the objective is to minimize the number of vertices...
IPL
2008
14 years 2 months ago
2008
Let P be a convex polytope in Rd , d = 3 or 2, with n vertices. We present linear time algorithms for approximating P by simpler polytopes. For instance, one such algorithm select...
FLAIRS
2004
14 years 3 months ago
2004
A blind classification algorithm is presented that uses hyperdimensional geometric algorithms to locate a hypothesis, in the form of a convex polytope or hyper-sphere. The convex ...
CONCUR
1993
Springer
14 years 6 months ago
1993
Springer
During the course of the last decade, a mathematical model for the parallelization of FOR-loops has become increasingly popular. In this model, a (perfect) nest of r FOR-loops is r...
ICCAD
1993
IEEE
14 years 6 months ago
1993
IEEE
A new technique for design centering, and for polytope approximation of the feasible region for a design are presented. In the rst phase, the feasible region is approximated by a ...
COMPGEOM
2006
ACM
14 years 8 months ago
2006
ACM
We present an optimal-time algorithm for computing (an implicit representation of) the shortest-path map from a fixed source s on the surface of a convex polytope P in three dime...
FOCS
2006
IEEE
14 years 8 months ago
2006
IEEE
We prove an upper bound, tight up to a factor of 2, for the number of vertices of level at most in an arrangement of n halfspaces in Rd , for arbitrary n and d (in particular, the...
COMPGEOM
2009
ACM
14 years 8 months ago
2009
ACM
Color red and blue the n vertices of a convex polytope P in R3 . Can we compute the convex hull of each color class in o(n log n)? What if we have χ > 2 colors? What if the co...