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IPL
2002
125views more  IPL 2002»
13 years 4 months ago
A note concerning the closest point pair algorithm
An algorithm, described by Sedgewick, finds the distance between the closest pair of n given points in a plane using a variant of mergesort. This takes O(n log n) time. To prove t...
Martin Richards
TALG
2008
131views more  TALG 2008»
13 years 4 months ago
Kinetic and dynamic data structures for closest pair and all nearest neighbors
We present simple, fully dynamic and kinetic data structures, which are variants of a dynamic two-dimensional range tree, for maintaining the closest pair and all nearest neighbors...
Pankaj K. Agarwal, Haim Kaplan, Micha Sharir
SODA
1998
ACM
113views Algorithms» more  SODA 1998»
13 years 5 months ago
Fast Hierarchical Clustering and Other Applications of Dynamic Closest Pairs
We develop data structures for dynamic closest pair problems with arbitrary (not necessarily geometric) distance functions, based on a technique previously used by the author for ...
David Eppstein
CCCG
2008
13 years 5 months ago
Data Structures for Range-Aggregate Extent Queries
We consider a generalization of geometric range searching, with the goal of generating an informative "summary" of the objects contained in a query range via the applica...
Ravi Janardan, Prosenjit Gupta, Yokesh Kumar, Mich...
SIGMOD
2000
ACM
143views Database» more  SIGMOD 2000»
13 years 8 months ago
Closest Pair Queries in Spatial Databases
This paper addresses the problem of finding the K closest pairs between two spatial data sets, where each set is stored in a structure belonging in the R-tree family. Five diffe...
Antonio Corral, Yannis Manolopoulos, Yannis Theodo...