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» Planar Point Location in Sublogarithmic Time
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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
1997
ACM
144views Algorithms» more  SODA 1997»
13 years 6 months ago
Methods for Achieving Fast Query Times in Point Location Data Structures
Given a collection S of n line segments in the plane, the planar point location problem is to construct a data structure that can e ciently determine for a given query point p the...
Michael T. Goodrich, Mark W. Orletsky, Kumar Ramai...
CORR
2008
Springer
76views Education» more  CORR 2008»
13 years 4 months ago
Succinct Geometric Indexes Supporting Point Location Queries
We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that support geometric queries in optimal time, by taking adv...
Prosenjit Bose, Eric Y. Chen, Meng He, Anil Mahesh...
SIAMCOMP
1998
138views more  SIAMCOMP 1998»
13 years 4 months ago
Dynamic Trees and Dynamic Point Location
This paper describes new methods for maintaining a point-location data structure for a dynamically changing monotone subdivision S. The main approach is based on the maintenance of...
Michael T. Goodrich, Roberto Tamassia
GD
2003
Springer
13 years 10 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov