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» On Approximating the Radii of Point Sets in High Dimensions
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FOCS
2002
IEEE
13 years 10 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»
13 years 4 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
STOC
2006
ACM
138views Algorithms» more  STOC 2006»
14 years 5 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
CCCG
2006
13 years 6 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»
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