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» The Expected Extremes in a Delaunay Triangulation
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ICALP
1991
Springer
13 years 8 months ago
The Expected Extremes in a Delaunay Triangulation
We give an expected-case analysis of Delaunay triangulations. To avoid edge effects we consider a unit-intensity Poisson process in Euclidean d-space, and then limit attention to...
Marshall W. Bern, David Eppstein, F. Frances Yao
CIAC
2010
Springer
252views Algorithms» more  CIAC 2010»
13 years 10 months ago
On the Number of Higher Order Delaunay Triangulations
Higher order Delaunay triangulations are a generalization of the Delaunay triangulation which provides a class of well-shaped triangulations, over which extra criteria can be optim...
Dieter Mitsche, Maria Saumell, Rodrigo I. Silveira
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...
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
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...