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Re: [cgal-discuss] c2t3 question - finding the Delaunay traingulation of


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  • From: "Laurent Rineau (GeometryFactory)" <>
  • To:
  • Subject: Re: [cgal-discuss] c2t3 question - finding the Delaunay traingulation of
  • Date: Mon, 30 Mar 2009 17:06:18 +0200
  • Organization: GeometryFactory

On Monday 30 March 2009 16:45:02 Sean McDuffee wrote:
> Hi,
>
> I'd like to input a surface mesh and compute it's Delaunay triangulation.
> It seems I should use Polyhedron_incremental_builder_3 for reading in the
> .obj file. This will fill out a Polyhedron_3. For a triangulation I guess
> I need to somehow insert this Poly data structure into a
> Delaunay_Triangulation_3 with the original Polyhedron_3 as a
> SurfaceMeshComplex_2InTriangulation_3 and then use the make_surface_mesh
> function to get a mesh I can output back to a .obj. Can someone tell me if
> this is the right track? I don't seem to know how to exactly put this
> together.

You can compute the Delaunay triangulation of *a set of points*, and not from
a surface mesh. Maybe your surface mesh is included in the triangulation, as
a
subset of facets, but that is not the general case. If you are sure that all
the faces of your surface are a union of facets of the Delaunay triangulation
of its vertices, then you can compute the Delaunay triangulation of the
vertices of the surface, and then manually mark the surface in a c2t3. I do
not see the interest. I think I have misunderstood your goal.

--
Laurent Rineau, PhD
Engineer at GeometryFactory
http://www.geometryfactory.com/




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