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» Lower bounds for 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...
COMGEO
2008
ACM
13 years 5 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
SODA
2001
ACM
108views Algorithms» more  SODA 2001»
13 years 6 months 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
FOCS
2010
IEEE
13 years 3 months ago
A Non-linear Lower Bound for Planar Epsilon-Nets
We show that the minimum possible size of an -net for point objects and line (or rectangle)ranges in the plane is (slightly) bigger than linear in 1/ . This settles a problem rais...
Noga Alon