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FOCS
2000
IEEE
13 years 10 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
2008
ACM
86views Algorithms» more  SODA 2008»
13 years 7 months ago
Space-efficient dynamic orthogonal point location, segment intersection, and range reporting
We describe an asymptotically optimal data-structure for dynamic point location for horizontal segments. For n line-segments, queries take O(log n) time, updates take O(log n) amo...
Guy E. Blelloch
SODA
2008
ACM
105views Algorithms» more  SODA 2008»
13 years 7 months ago
Distribution-sensitive point location in convex subdivisions
A data structure is presented for point location in convex planar subdivisions when the distribution of queries is known in advance. The data structure has an expected query time t...
Sébastien Collette, Vida Dujmovic, John Iac...
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
COMPGEOM
2005
ACM
13 years 7 months ago
The skip quadtree: a simple dynamic data structure for multidimensional data
We present a new multi-dimensional data structure, which we call the skip quadtree (for point data in R2) or the skip octree (for point data in Rd, with constant d > 2). Our da...
David Eppstein, Michael T. Goodrich, Jonathan Z. S...