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COMPGEOM
2003
ACM
15 years 4 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»
15 years 4 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
90
Voted
ECML
2005
Springer
15 years 4 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
15 years 7 days 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
84
Voted
SODA
2003
ACM
126views Algorithms» more  SODA 2003»
15 years 6 days 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