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Re: [cgal-discuss] triangulations with genus > 0


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  • From: Sylvain Pion <>
  • To:
  • Subject: Re: [cgal-discuss] triangulations with genus > 0
  • Date: Thu, 18 Oct 2007 15:51:29 +0200
  • Organization: INRIA

Matthijs Sypkens Smit a écrit :
Hi all,

It seems that the CGAL Triangulation_3 does not support holes. When I build such a triangulation by manipulation the data_structure "by hand", then the validity check on the data structure fails with "Euler relation unsatisfied". I guess that could be expected since the manual mentions how the triangulation is actually a covering of the 4D sphere.

Can anyone comment on the problems of using the CGAL Triangulation for genus > 0 objects? It is at least possible to traverse the object. Could I disable the check for conformity to the Euler relation and have something workable, or would I be bound to run into troubles along the road?

Try it :-)

If so, are there plans to support such triangulations in the future?

Maybe. That said, if the only problem is the Euler check in is_valid(),
this could be easily workable (just pass the genus to is_valid).

--
Sylvain Pion
INRIA Sophia-Antipolis
Geometrica Project-Team
CGAL, http://cgal.org/

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