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


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  • From: Andreas Fabri <>
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  • Subject: Re: [cgal-discuss] triangulations with genus > 0
  • Date: Thu, 18 Oct 2007 15:57:40 +0200


You mean removing cells???

Note that the locate step then has to be rewritten, as it walks
more or less along a line. So when it hits a hole...

andreas

Sylvain Pion wrote:
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).




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