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» On Approximating the Radii of Point Sets in High Dimensions
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94
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FOCS
2002
IEEE
15 years 6 months ago
On Approximating the Radii of Point Sets in High Dimensions
Kasturi R. Varadarajan, Srinivasan Venkatesh, Jiaw...
CORR
1999
Springer
222views Education» more  CORR 1999»
15 years 1 months ago
Analysis of approximate nearest neighbor searching with clustered point sets
Abstract. Nearest neighbor searching is a fundamental computational problem. A set of n data points is given in real d-dimensional space, and the problem is to preprocess these poi...
Songrit Maneewongvatana, David M. Mount
130
Voted
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
16 years 2 months ago
Searching dynamic point sets in spaces with bounded doubling dimension
We present a new data structure that facilitates approximate nearest neighbor searches on a dynamic set of points in a metric space that has a bounded doubling dimension. Our data...
Richard Cole, Lee-Ad Gottlieb
103
Voted
CCCG
2006
15 years 3 months ago
A Simple Streaming Algorithm for Minimum Enclosing Balls
We analyze an extremely simple approximation algorithm for computing the minimum enclosing ball (or the 1-center) of a set of points in high dimensions. We prove that this algorit...
Hamid Zarrabi-Zadeh, Timothy M. Chan
ESA
2003
Springer
111views Algorithms» more  ESA 2003»
15 years 7 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