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CCCG
2006
13 years 9 months ago
Removing Outliers to Minimize Area and Perimeter
We consider the problem of removing c points from a set S of n points so that the resulting point set has the smallest possible convex hull. Our main result is an O n 4c 2c (3c)c +...
Rossen Atanassov, Pat Morin, Stefanie Wuhrer
IPL
2008
105views more  IPL 2008»
13 years 7 months ago
Hausdorff approximation of 3D convex polytopes
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...
Mario A. Lopez, Shlomo Reisner
DAM
2007
84views more  DAM 2007»
13 years 7 months ago
Estimates of covering numbers of convex sets with slowly decaying orthogonal subsets
Covering numbers of precompact symmetric convex subsets of Hilbert spaces are investigated. Lower bounds are derived for sets containing orthogonal subsets with norms of their ele...
Vera Kurková, Marcello Sanguineti
ICCAD
1993
IEEE
101views Hardware» more  ICCAD 1993»
13 years 11 months ago
Convexity-based algorithms for design centering
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 ...
Sachin S. Sapatnekar, Pravin M. Vaidya, Steve M. K...
MP
2010
128views more  MP 2010»
13 years 6 months ago
Perspective reformulations of mixed integer nonlinear programs with indicator variables
Abstract. We study mixed integer nonlinear programs (MINLP)s that are driven by a collection of indicator variables where each indicator variable controls a subset of the decision ...
Oktay Günlük, Jeff Linderoth