CGAL users discussion list

[Shalev Mintz <>]

Hi,

I’d like to perform a surface parametrization of a triangle mesh.

I tried using some of CGAL’s algorithms, e.g. ARAP, Discrete Conformal Map etc.

The problem is that the surface parameterization methods proposed by CGAL only deal with meshes which are homeomorphic to discs.

Meshes with arbitrary topology can be parameterized, provided that the user specifies a cut graph, which defines the border of a topological disc.

So the problem now becomes – how to cut the graph properly (using CGAL’s interface). I would really appreciate a simple example.

 

Another option, is to use the Orbifold Tutte Embeddings algorithm, that way the mesh only has to be homeomorphic to a sphere, but I still need to specify the “cones”.

So again, I’d really appreciate a simple example.

 

I’m attaching a small mesh which is a typical example of the sorts of meshes I need to parametrize.

 

Thanks a lot.

 

Attachment: mesh.ply
Description: mesh.ply