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» Approximating smallest enclosing disks
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ESA
2003
Springer
111views Algorithms» more  ESA 2003»
14 years 17 days ago
Fast Smallest-Enclosing-Ball Computation in High Dimensions
Abstract. We develop a simple combinatorial algorithm for computing the smallest enclosing ball of a set of points in high dimensional Euclidean space. The resulting code is in mos...
Kaspar Fischer, Bernd Gärtner, Martin Kutz
CCCG
1998
13 years 8 months ago
Quantile approximation for robust statistical estimation
Given a set P of n points in Rd, a fundamental problem in computational geometry is concerned with finding the smallest shape of some type that encloses all the points of P. Well-...
David M. Mount, Nathan S. Netanyahu, Christine D. ...
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 8 months ago
Smaller core-sets for balls
We prove the existence of small core-sets for solving approximate k-center clustering and related problems. The size of these core-sets is considerably smaller than the previously...
Mihai Badoiu, Kenneth L. Clarkson
ESA
2003
Springer
96views Algorithms» more  ESA 2003»
14 years 17 days 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...