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» Expected time analysis for Delaunay point location
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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...
ALGORITHMICA
1998
111views more  ALGORITHMICA 1998»
13 years 4 months ago
A Note on Point Location in Delaunay Triangulations of Random Points
This short note considers the problem of point location in a Delaunay triangulation of n random points, using no additional preprocessing or storage other than a standard data stru...
Luc Devroye, Ernst P. Mücke, Binhai Zhu
ESA
2001
Springer
97views Algorithms» more  ESA 2001»
13 years 9 months ago
Splitting a Delaunay Triangulation in Linear Time
Computing the Delaunay triangulation of n points requires usually a minimum of (n log n) operations, but in some special cases where some additional knowledge is provided, faster a...
Bernard Chazelle, Olivier Devillers, Ferran Hurtad...
CPHYSICS
2004
93views more  CPHYSICS 2004»
13 years 4 months ago
Kinetic and dynamic Delaunay tetrahedralizations in three dimensions
We describe algorithms to implement fully dynamic and kinetic three-dimensional unconstrained Delaunay triangulations, where the time evolution of the triangulation is not only go...
Gernot Schaller, Michael Meyer-Hermann
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