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Re: [cgal-discuss] Infinite vertex in Triangulations


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  • From: Nico Kruithof <>
  • To:
  • Subject: Re: [cgal-discuss] Infinite vertex in Triangulations
  • Date: Sun, 24 Jan 2010 09:10:39 +0100
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Hi Daniel,

I'll have a look at the code. A domain that is topological a sphere doesn't contain holes or tunnels. You probably would be able to reconstruct the incidence relation between the finite cells. Then you could determine whether a cell is on the boundary of the domain by checking wether it's neighbor is NULL. This is not implemented though, but the reconstruction is already split in these two phases (finite and infinite reconstruction). Other CGAL algorithms would probably have to be adapted. So how usefull that is depends on what you want to do when you have the TDS.

-- Nico

On Thu, Jan 21, 2010 at 4:50 PM, Daniel Weber <> wrote:
Hi Nico,

please find attached the code for the construction of the triangulation and the example file "examples.tet". Unfortunately, i am not familiar with with topological properties of meshes. That is why i asked, if the tds can represent every triangulation of a domain. The ".tet"-file is an indirect output of the 3D-Mesh Generation package. Maybe you can tell me, if the attached mesh can not be used for the CGAL-tds.

Thank you!
Daniel


-------- Original-Nachricht --------
> Datum: Tue, 19 Jan 2010 20:02:39 +0100
> Von: Nico Kruithof <>
> An:
> Betreff: Re: [cgal-discuss] Infinite vertex in Triangulations

> Hi Daniel,
>
> I wrote the incremental builder for the skin surface package where I had
> to
> construct a triangulation from cells and incidence relations. In that
> setting the triangulation is always topologically a sphere. I can have a
> look if you present a small example.
>
> Bests,
> Nico
>
> On Tue, Jan 19, 2010 at 6:26 PM, Daniel Weber <> wrote:
>
> > Hi,
> >
> > i use the incremental builder
> (CGAL/Triangulation_incremental_builder_3.h)
> > to reconstruct the adjacency information. This algorithm crashes during
> the
> > reconstruction of inifite cell adjacency. Now, I want to find out why
> > "Triangulation_incremental_builder_3" crashes. Maybe I should post a
> minimal
> > code snipplet, which causes this crash.
> >
>
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