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COMPGEOM
2003
ACM
13 years 10 months ago
The smallest enclosing ball of balls: combinatorial structure and algorithms
We develop algorithms for computing the smallest enclosing ball of a set of n balls in d-dimensional space. Unlike previous methods, we explicitly address small cases (n ≤ d + 1...
Kaspar Fischer, Bernd Gärtner
ESA
2003
Springer
111views Algorithms» more  ESA 2003»
13 years 10 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
ECML
2005
Springer
13 years 10 months ago
Fitting the Smallest Enclosing Bregman Ball
Finding a point which minimizes the maximal distortion with respect to a dataset is an important estimation problem that has recently received growing attentions in machine learnin...
Richard Nock, Frank Nielsen
CCCG
2006
13 years 6 months ago
On the Smallest Enclosing Information Disk
We present a generalization of Welzl's smallest enclosing disk algorithm [E. Welzl, Smallest enclosing disks (balls and ellipsoids), in: New Results and New Trends in Compute...
Frank Nielsen, Richard Nock
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
13 years 6 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