Mesh parameterization in gptoolbox about gptoolbox

[alecjacobson]

The limitation of lscm to 2D meshes was entirely artificial. Just now I've pushed a new version that is based on another paper (doing the same thing) which is easier to implement for 3D surfaces.

Regarding choosing the fixed points, this is a drawback of these type of parameterization papers that are so sensitive to the choice of fixed points and their arrangement in the plane. More advanced/recent methods will also try to optimize the boundary mapping or rather allow the boundary to move freely in the plane. I particularly like the recent work of Smith and Schaefer called "Bijective Parameterization with Free Boundaries". Though I don't know if there's an implementation around.

[proteuslinzk]

Yeah, thanks for your answer!! the problem of calculating boundary conditions is drawing me crazy.

I've seen another way of calculating boundary, but that is an incomplete way.
http://nbviewer.jupyter.org/github/gpeyre/numerical-tours/blob/master/matlab/meshdeform_1_parameterization.ipynb

https://github.com/gpeyre/numerical-tours/blob/master/matlab/toolbox_graph/compute_boundary.m