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» Nearly Optimal Expected-Case Planar Point Location
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FOCS
2000
IEEE
13 years 9 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
SWAT
2000
Springer
90views Algorithms» more  SWAT 2000»
13 years 8 months ago
Efficient Expected-Case Algorithms for Planar Point Location
Planar point location is among the most fundamental search problems in computational geometry. Although this problem has been heavily studied from the perspective of worst-case que...
Sunil Arya, Siu-Wing Cheng, David M. Mount, Ramesh...
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
13 years 6 months 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...
COMGEO
2008
ACM
13 years 4 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
WAE
2000
128views Algorithms» more  WAE 2000»
13 years 6 months ago
Planar Point Location for Large Data Sets: To Seek or Not to Seek
We present an algorithm for external memory planar point location that is both effective and easy to implement. The base algorithm is an external memory variant of the bucket metho...
Jan Vahrenhold, Klaus Hinrichs