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Re: [cgal-discuss] Questions about interpolation


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  • From: Jatin Relan <>
  • To:
  • Subject: Re: [cgal-discuss] Questions about interpolation
  • Date: Wed, 29 Dec 2010 16:48:13 +0100 (CET)

Thanks for your reply.

> 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)

I have a triangulated 3D surface with few vertices having data on, and I want
to interpolate them on other vertices.


>
> >
> > 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.
>


The link is not correct, can you point me to such example.


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


Yes, I just want to smooth the surface, but keep the tetrahedral mesh.
I know that I can try to extract and smooth the surface first and then create
another tetrahedral mesh.
But my problem is that I have some zone definitions in the input tetrahedral
mesh (having rough surface), which I can't reproduce if I create another
tetrahedral mesh.

Also I would be glad if you have some solution to create a multi-domain
tetrahedral mesh, from multiple polyhedral surfaces, instead of an multiple
intensity image.

Thanks very much.


Jatin


> >
> > Thanks very much in advance.
> >
> > Cheers,
> > Jatin
> >
> >
>
>
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