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SODA
1997
ACM
144views Algorithms» more  SODA 1997»
14 years 10 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»
14 years 9 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»
14 years 10 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
14 years 9 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»
15 years 9 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