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» Distance-Sensitive 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
SODA
2001
ACM
105views Algorithms» more  SODA 2001»
13 years 6 months ago
Online point location in planar arrangements and its applications
Recently, Har-Peled [HP99b] presented a new randomized technique for online construction of the zone of a curve in a planar arrangement of arcs. In this paper, we present several ...
Sariel Har-Peled, Micha Sharir
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
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...
FOCS
2006
IEEE
13 years 11 months ago
Improved Dynamic Planar Point Location
Lars Arge, Gerth Stølting Brodal, Loukas Ge...