Spherical Orbifold Tutte Embeddings

Matlab code implementing the Siggraph 2017 paper, "Spherical Orbifold Tutte Embeddings".

An extension of Tutte's embedding to spherical domains, namely spherical orbifolds - tilings of the sphere.

Example scripts:

• script_orbifold_sphere - map a sphere-topology mesh to a spherical orbifold.
• script_orbifold_disk - map a disk-topology mesh to a spherical orbifold.
• script_NOT_ORBIFOLD_spherical_tutte - embed a disk-topology mesh into a convex spherical polygon.

Main files to look at:

• embed_from_data - compute the spherical embedding from a given mesh and choice of cone points. The detection of sphere\disk topology is automatic. If you want to embed into a convex polygon the input should be the positions of the boundary instead of the cone data.
• Embedding - the object representing the computed embedding. Has all the data as well as functions for visualization (see the drawing part in the example scripts).

The code is provided as-is for academic use only and without any guarantees. Please contact the author to report any bugs. Written by Noam Aigerman and Shahar Kovalsky.