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[cgal-discuss] volume of overlapping spheres


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  • From: "Eggersdorfer Maximilian" <>
  • To: <>
  • Subject: [cgal-discuss] volume of overlapping spheres
  • Date: Thu, 25 Feb 2010 13:13:54 +0100

Dear All,

I have the following problem and wonder if there is a quick and easy method:

I have several spheres (from 10 up to 10000) which can overlap strongly and
also have different sizes. I found the method of Liang, Edelsbrunner, Fu,
Sudhakar & Subramaniam (1998), Proteins, 33, 1-17 with direct
inclusion-exclusion using alpha shapes.

Do you think this is an appropriate method to quickly calculate the volume
(and surface area) of the overlapping spheres. I need to recalculate it
frequently in my simulation as the arrangement changes.

Thank you for your help!
max

______________________________________________________
Max Eggersdorfer
Particle Technology Laboratory, ETH Zürich





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