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13

ALGORITHMICA
1998

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A Note on Point Location in Delaunay Triangulations of Random Points

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A Note on Point Location in Delaunay Triangulations of Random Points

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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 structure representing the triangulation. A simple and easy-to-implement (but, of course, worst-case suboptimal) heuristic is shown to take expected time O(n1/3). Key Words. Voronoi diagram, Delaunay triangulation, Point location, Probabilistic analysis of algorithms, Computational geometry.

Luc Devroye, Ernst P. Mücke, Binhai Zhu

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Added	21 Dec 2010
Updated	21 Dec 2010
Type	Journal
Year	1998
Where	ALGORITHMICA
Authors	Luc Devroye, Ernst P. Mücke, Binhai Zhu

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