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Re: [cgal-discuss] Sampling in the volume of the mesh


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  • From: "Sebastien Loriot (GeometryFactory)" <>
  • To:
  • Subject: Re: [cgal-discuss] Sampling in the volume of the mesh
  • Date: Mon, 03 Oct 2011 08:29:57 +0200

Did you have a look at Mesh_3 package?

http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Mesh_3/Chapter_main.html

Sebastien.

mq_wei wrote:
Dear all,
I also have this question, many thanks.
Best regards,
Mingqiang WEI
At 2011-10-03 07:17:54,"Rifat Aras"
<>
wrote:

Dear CGAL users,

I have a triangular closed mesh (like the shell of a sphere). I want
to sample some 3D points in the volume defined by the convex hull of
the mesh.

I think the 3D triangulation class of CGAL is a perfect match for
this problem. From the manual: "The basic 3D-triangulation class of
CGAL is primarily designed to represent the triangulations of a set
of points
A in R3. It is a partition of the convex hull of A into tetrahedra
whose vertices are the points of A". Only the last part of this
definition bugs me a little bit as I want points not only on the
outer shell but also inside the volume.

If 3D-triangulation class (or another class of CGAL) will not do the
job for me, I guess I will need to implement my own sampling
routine. For that purpose, I have something like the following in my
mind:

- Compute the bounding volume of the mesh
- Shoot a random ray in the bounding volume
- Find the intersection points of the ray with the mesh
- Sample some points on the portion of the ray that is inside of the
mesh
- Repeat until I have enough points.

Any comments about this?

Cheers, Rifat Aras.







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