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- From: Mariette Yvinec <>
- To:
- Subject: Re: [cgal-discuss] How General is Triangulation_3?
- Date: Tue, 26 Aug 2008 09:10:01 +0200
wrote:
I am interested in knowing how general the Triangulation_3 class is. Itright
requires that the triangulation be a triangulation of a 4-sphere; the basic
idea is that the triangulation is a finite triangulation of some convex body
together with a point at infinity.
In some cases it would be possible to extend a tetrahedral mesh of a
nonconvex body to a mesh of the convex hull of the mesh vertices, but I
believe it is not always possible to do this without adding new vertices.
For example, consider a tetrahedral mesh with a hole in the shape of a
Schonhardt polyhedron.
Is there a known way to use Triangulation_3 to represent arbitrary conformalNo
tetrahedral meshes by ignoring validity checks or adding tetrahedra and
vertices to the mesh?
I noticed that "3D Triangulations and Meshes" is a work in progress. ShouldThe 3D Triangulations and Meshes will hopefully appear in a few months
I wait for that item to be completed? What is the current status of that development
item?
with the next public release of CGAL.
It will provide mesh generation tools for 3D domains whose boundary surfaces
are defined in various way :
implicit surfaces,
polyhedral surfaces,
grey level or segmented 3D images.
Unless you are willing to remesh the domain you are interested in,
(you could consider its bounding surface as a polyhedral
surface)
I don't think it will solve your problem ...
Thanks much,
Evan VanderZee
Mathematics/CSE Graduate Student
University of Illinois at Urbana-Champaign
--
Mariette Yvinec
Geometrica project team
INRIA Sophia-Antipolis
- [cgal-discuss] How General is Triangulation_3?, vanderze, 08/25/2008
- Re: [cgal-discuss] How General is Triangulation_3?, Mariette Yvinec, 08/26/2008
- Re: [cgal-discuss] How General is Triangulation_3?, Olivier Devillers, 08/26/2008
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