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How to mesh an hyperboloid implicit surface?


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  • From: Matthieu Chavent <>
  • To:
  • Subject: How to mesh an hyperboloid implicit surface?
  • Date: Thu, 08 Mar 2007 19:18:16 +0100

Hello Everybody,

I would like to mesh an hyperboloid implicit surface (equation is: -x2 + y2 +z2 -R ). In order to perform that, I used the little script in the CGAL manual ( In the 3D surface mesher section). It works well for the sphere equation but crashes for the hyperboloid equation.

I try to change the meshing criteria:

When I used: criteria (30. , 0.9 , 0.9 ) I have the following error message:

CGAL error: assertion violation!
Expr: false
File: /home/Chavent_Matthieu/CGAL-3.2.1/include/CGAL/Delaunay_triangulation_3.h
Line: 1054
Aborted (core dumped)

When I used: criteria(30. , 1. , 1. ), it works...

But I would like to decrease the radius bound and the distance bound to have a better precision..

Someone have an idea?

Thank you in advance!!!


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Matthieu Chavent
LORIA
PhD student


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