Random sampling of a cylinder yields a not so nasty Delaunay triangulation

Olivier Devillers 1 Xavier Goaoc 2
1 GEOMETRICA - Geometric computing
CRISAM - Inria Sophia Antipolis - Méditerranée
2 VEGAS - Effective Geometric Algorithms for Surfaces and Visibility
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : We prove that the expected size of the 3D Delaunay triangulation of n points evenly distributed on a cylinder is Theta(n log n). This shows that the n sqrt(n) behavior of the cylinder-example of Erickson is pathological.
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https://hal.inria.fr/inria-00179313
Contributor : Olivier Devillers <>
Submitted on : Monday, October 15, 2007 - 11:54:13 AM
Last modification on : Thursday, January 11, 2018 - 6:20:14 AM
Long-term archiving on : Monday, September 24, 2012 - 1:25:14 PM

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  • HAL Id : inria-00179313, version 1

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Olivier Devillers, Xavier Goaoc. Random sampling of a cylinder yields a not so nasty Delaunay triangulation. [Research Report] RR-6323, 2007, pp.10. ⟨inria-00179313v1⟩

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