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[cgal-discuss] Volume of a periodic voronoi cell?


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  • From: Maarten Moesen <>
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  • Subject: [cgal-discuss] Volume of a periodic voronoi cell?
  • Date: Thu, 27 Jan 2011 12:55:07 +0100

Dear all,

I'm looking for a quick way to compute or estimate the volume of a Voronoi cell around a vertex v in a periodic triangulation. Can one just compute the volume of the incident tetrahedra and divide this by four? Or does one really need to construct the Voronoi cell (and partition it somehow e.g. into pyramids around v?

Many thanks,

Maarten
--
Maarten Moesen, PHD
Department of Metallurgy and Materials Engineering (MTM)
K.U.Leuven
Kasteelpark Arenberg 44 - Bus 02450
B-3001 Heverlee, Belgium
tel. +32 (0)16 32 13 17
fax. +32 (0)16 32 19 90




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