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Re: [cgal-discuss] cgal half-edge limitations


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  • From: Guillaume Damiand <>
  • To: "" <>
  • Subject: Re: [cgal-discuss] cgal half-edge limitations
  • Date: Sat, 01 Oct 2011 18:35:17 +0200

Le 01/10/2011 00:05, Josh Stratton a écrit :
I had a quick question regarding the half-edge data structure present
in CGAL. I've read over the documentation several times and
understand that the mesh must be 2-manifold and doesn't support holes
inside facets, which is fine. What I couldn't find however, was
whether the structure supports singular vertices, where one vertex is
attached to multiple non-joining facets.

*---*---*
| | |
*---*---*
| | |
*---*---*



*---*
| |
*---*---*
| |
*---*

For the vertex in the middle bridging the two facets, it will only
point to an edge on one of the two faces. Looking over the API, I
don't see anything that allows lookup of the other face given just the
vertex. Is this not a supported mesh configuration in CGAL's
half-edge implementation, or is it okay, but requires additional code
to handle these cases?


I don't understand your first example.

The second one is not a 2-manifold, thus it can not be represented by a Polyhedron_3 (by definition).

You can add the surrounding face englobing your two squares => you obtain a 2 manifold and thus one vertex (this is probably always the case for Polyhedron_3 but I am not sure...)



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