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» Planar Point Location in Sublogarithmic Time
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SODA
2001
ACM
108views Algorithms» more  SODA 2001»
14 years 8 days ago
Entropy-preserving cuttings and space-efficient planar point location
Point location is the problem of preprocessing a planar polygonal subdivision S into a data structure in order to determine efficiently the cell of the subdivision that contains a...
Sunil Arya, Theocharis Malamatos, David M. Mount
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
14 years 10 days ago
Distribution-sensitive point location in convex subdivisions
A data structure is presented for point location in convex planar subdivisions when the distribution of queries is known in advance. The data structure has an expected query time t...
Sébastien Collette, Vida Dujmovic, John Iac...
FOCS
2000
IEEE
14 years 3 months ago
Nearly Optimal Expected-Case Planar Point Location
We consider the planar point location problem from the perspective of expected search time. We are given a planar polygonal subdivision S and for each polygon of the subdivision t...
Sunil Arya, Theocharis Malamatos, David M. Mount
COMGEO
2008
ACM
13 years 11 months ago
Lower bounds for expected-case planar point location
Given a planar polygonal subdivision S, the point location problem is to preprocess S into a data structure so that the cell of the subdivision that contains a given query point c...
Theocharis Malamatos