Mapping onto Quads Meshes and Nurbs

Thanks. I have another question about mapping.

I would like to apply conformal mapping to a quad mesh by projecting it on another mesh.

What kind of qualities this mesh must contain? Would it be good to use kangaroo inscribed circle goal in order to preserve quad angles, while deforming it?

To illustrate the problem I point to ABF++ method, which is for sure too complex especially for these closed meshes. But is there any method in Kangaroo or Rhino in general that can help me to unflatten simple 3D mesh using conformal mapping? And then I want to map tiles back from 2D to 3D.

Or maybe the question is more simple with simpler meshes, for instance how can I distort a mesh in Kangaroo that the result is always con-formally distorted?