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Well-separated pair decomposition

In computational geometry, a well-separated pair decomposition (WSPD) of a set of points , is a sequence of pairs of sets , such that each pair is… Expand
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2016
2016
  • R. Klein
  • Encyclopedia of Algorithms
  • 2016
  • Corpus ID: 28799006
 
2014
2014
Variations of k-d trees represent a fundamental data structure used in Computational Geometry with numerous applications in… Expand
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2010
2010
A spanner graph on a set of points in ℝd provides shortest paths between any pair of points with lengths at most a constant… Expand
2008
2008
Given a point set in a fixed dimension, we note that a well-separated pair decomposition can be found in linear time if we assume… Expand
2005
2005
We present an external-memory algorithm to compute a well-separated pair decomposition (WSPD) of a given point set S in ℝd in O… Expand
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2003
2003
We extend the classic notion of well-separated pair decomposition [10] to the (weighted) unit-disk graph metric: the shortest… Expand
2000
2000
We present an external memory algorithm to compute a well-separated pair decomposition (WSPD) of a given point set P in Rd in O… Expand
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Highly Cited
1996
Highly Cited
1996
  • Y. Bartal
  • Proceedings of 37th Conference on Foundations of…
  • 1996
  • Corpus ID: 2095594
This paper provides a novel technique for the analysis of randomized algorithms for optimization problems on metric spaces, by… Expand
Highly Cited
1995
Highly Cited
1995
Many problems of great practical importance and theoretical interest can be posed as computations on finite point sets in fixed… Expand
Highly Cited
1993
Highly Cited
1993
  • P. Callahan
  • Proceedings of IEEE 34th Annual Foundations of…
  • 1993
  • Corpus ID: 13968373
We present an optimal parallel algorithm to construct the well-separated pair decomposition of a point set P in R/sup d/. We show… Expand
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