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» Geometric Set Cover and Hitting Sets for Polytopes in $R^3$
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ESA
2003
Springer
96views Algorithms» more  ESA 2003»
14 years 1 months ago
Streaming Geometric Optimization Using Graphics Hardware
In this paper we propose algorithms for solving a variety of geometric optimization problems on a stream of points in R2 or R3 . These problems include various extent measures (e.g...
Pankaj K. Agarwal, Shankar Krishnan, Nabil H. Must...
COMPGEOM
2010
ACM
14 years 1 months ago
The 2-center problem in three dimensions
Let P be a set of n points in R3 . The 2-center problem for P is to find two congruent balls of the minimum radius whose union covers P. We present two randomized algorithms for ...
Pankaj K. Agarwal, Rinat Ben Avraham, Micha Sharir
MICS
2010
128views more  MICS 2010»
13 years 3 months ago
Arrangements on Parametric Surfaces II: Concretizations and Applications
We describe the algorithms and implementation details involved in the concretizations of a generic framework that enables exact construction, maintenance, and manipulation of arran...
Eric Berberich, Efi Fogel, Dan Halperin, Michael K...