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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...
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
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
COMGEO
2004
ACM
13 years 4 months ago
Expected time analysis for Delaunay point location
We consider point location in Delaunay triangulations with the aid of simple data structures. In particular, we analyze methods in which a simple data structure is used to first lo...
Luc Devroye, Christophe Lemaire, Jean-Michel Morea...
STOC
2003
ACM
193views Algorithms» more  STOC 2003»
14 years 5 months ago
Space efficient dynamic stabbing with fast queries
In dynamic stabbing, we operate on a dynamic set of intervals. A stabbing query asks for an interval containing a given point. This basic problem encodes problems such as method l...
Mikkel Thorup