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» Approximating smallest enclosing disks
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ESA
2003
Springer
111views Algorithms» more  ESA 2003»
15 years 5 months 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
15 years 1 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»
15 years 1 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»
15 years 5 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...