CGAL users discussion list

["Sebastien Loriot (GeometryFactory)" <>]

Jatin Relan wrote:
> 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.

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

> > > 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.
I would do this using Mesh_3 and defining  only a facet criteria.
See function refine_mesh
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Mesh_3_ref/Function_refine_mesh_3.html
and MeshFacetCriteria_3
http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Mesh_3_ref/FunctionObjectConcept_MeshFacetCriteria_3.html

> 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.
In Mesh_3 package, there is no such model of MeshDomain_3. However, it 
seems doable to do it getting inspiration from the class 
Polyhedral_mesh_domain_3 (this is easy if the volumes bounded by the
polyhedra are disjoint, a little bit more tricky otherwise).

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