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Re: [cgal-discuss] Questions about interpolation


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  • From: "Sebastien Loriot (GeometryFactory)" <>
  • To:
  • Subject: Re: [cgal-discuss] Questions about interpolation
  • Date: Mon, 27 Dec 2010 09:29:30 +0100

Jatin Relan wrote:
Hi all,

I have a question about interpolation on a mesh.
Is your mesh a surface or volume mesh? Interpolation method in CGAL are only available in 2D and for 2D surfaces.
(see http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Interpolation/Chapter_main.html)


Q.1 Say, I have a mesh with an attribute values for some of the vertices (a
subset), is there any interpolation method in CGAL to interpolate the
attribute values for all the remaining vertices (where I didn't had data)?

Q.2 Which interpolation method it would use?

Q.3 Say I have a mesh with given set of vertices, I choose a subset of
vertices. Now I want to remesh (or decimate) the surface such that the new
surface would have total number of vertices as only those vertices which I
chose. Is there any method to do that in CGAL?

Have a look at the surface mesh simplification package here:
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Interpolation/Chapter_main.html

Look at "Example with edges marked as non-removable". Marking all edges
incident to your marked vertices as non-removable should do what you
want.



Q.4 Is it possible to smooth a tetrahedral mesh in CGAL?
Do you mean smoothing the surface and maintain the tetrahedral mesh?

Thanks very much in advance.

Cheers,
Jatin






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