Disk-Shaped Conformal Parameterization

Maps a simply connected open mesh onto a unit disk while preserving angles.

This program maps the inputted simply connected open mesh onto a unit disk while preserving the angles of the triangle elements as much as possible. The boundary of the mesh would be mapped onto the unit circle.

An example is demonstrated by running the demo file.

Syntax
uv = Diskmap_CEM(F,V)

Descriptions
F: double array, nf x 3, faces of mesh
V: double array, nv x 3, vertices of mesh
uv: double array, nv x 2, conformal parameterization of mesh

Please refer to [1] for the algorithm in detail.
[1] M.-H. Yueh, W.-W. Lin, C.-T. Wu, and S.-T. Yau, An efficient energy minimization for conformal parameterizations, J. Sci. Comput., 2017. doi:10.1007/s10915-017-0414-y

The online version of the paper can be found at http://rdcu.be/p5SA