pc_spherical_conformal_map: Conformally map a genus-0 point cloud to the unit sphere

This code computes the spherical conformal parameterizations (i.e. angle-preserving mappings to the unit sphere) of genus-0 point clouds using the fast method in [1].
Any comments and suggestions are welcome. 

If you use this code in your own work, please cite the following paper:
[1] G. P.-T. Choi, K. T. Ho and L. M. Lui, 
    "Spherical Conformal Parameterization of Genus-0 Point Clouds for Meshing."
    SIAM Journal on Imaging Sciences, 9(4), pp. 1582-1618, 2016.

Copyright (c) 2015-2018, Gary Pui-Tung Choi
https://scholar.harvard.edu/choi

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Usage:

map = pc_spherical_conformal_map(vertex)



Input:

vertex: nv x 3 vertex coordinates of the input point cloud




Output:

map: nv x 3 vertex coordinates of the spherical conformal parameterization
