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Re: [cgal-discuss] Decompose polyhedron into tetrahedron


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  • From: Monique Teillaud <>
  • To:
  • Subject: Re: [cgal-discuss] Decompose polyhedron into tetrahedron
  • Date: Mon, 08 Sep 2014 10:48:35 +0200

And additional vertices will be introduced by the CGAL package when needed.

--
Monique Teillaud
http://www.inria.fr/sophia/members/Monique.Teillaud/
INRIA Sophia Antipolis - Méditerranée
Institut National de Recherche en Informatique et Automatique

Le 08/09/14 10:44, Andreas Fabri a écrit :

It is also known that it is possible for quite some polyhedra.
Tetgen does this, and CGAL will offer this soon too.

andreas

On 08/09/2014 10:14, Monique Teillaud wrote:

It is known that there are polyhedra for which it is impossible, unless
vertices are added.

See http://en.wikipedia.org/wiki/Sch%C3%B6nhardt_polyhedron
"In geometry, the Schönhardt polyhedron is the simplest non-convex
polyhedron that cannot be triangulated into tetrahedra without adding
new vertices."

--
Monique Teillaud
http://www.inria.fr/sophia/members/Monique.Teillaud/
INRIA Sophia Antipolis - Méditerranée
Institut National de Recherche en Informatique et Automatique

Le 08/09/14 01:12, erocha.ssa a écrit :
How can I decompose a polyhedron (CGAL::Polyhedron_3) into a set of
tetrahedra ? Sorry, if this question has been asked before, but I
couldn't
find any answer googleing it. Pointer to any documentation will be
very much
appreciated.
Thanks in advance



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