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Re: [cgal-discuss] Triangulate a 3d polygon


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  • From: Monique Teillaud <>
  • To:
  • Subject: Re: [cgal-discuss] Triangulate a 3d polygon
  • Date: Mon, 23 Apr 2012 11:23:39 +0200

Le 23/04/12 08:49, Sebastien Loriot (GeometryFactory) a écrit :
On 04/21/2012 04:50 PM, Monique Teillaud wrote:
Hi,

you can use Constrained_triangulation_2 with some Projection_traits_**_3

best,

If your points lie on a plane with a normal vector collinear to a vector
of the cartesian basis, Monique is right [1].

Well, it works even if the polygon is not contained in such a plane.
The only condition is that you don't choose a plane on which the polygon projects on a line.

If your points almost lie (due to floating point approximations) in an
arbitrary plane, you can use the undocumented traits class in the
following file
include/CGAL/Triangulation_2_filtered_projection_traits_3.h

The normal vector to be given to the traits is the normal vector of the
plane.

See also the example [2].

Sebastien.

[1]
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Triangulation_2/Chapter_main.html#Subsection_37.5.2

[2]http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Triangulation_2/Chapter_main.html#Subsection_37.8.2


Le 21/04/12 15:20, sgdimitris a écrit :
Hello to all users,
I have some Points_3 that are all in the same plane, so they create a
polygon.
How can I take the triangles of the polygons?
best regards,
Dimitris

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Monique Teillaud
INRIA Sophia Antipolis - Méditerranée
http://www.inria.fr/sophia/members/Monique.Teillaud/



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