I have a mesh which represents a 0-genus model. My goal is to construct a homeomorphism from that mesh to its bounding sphere.I'm trying to understand a paragraph in http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.42.2762&rep=rep1&type=pdf :The basic idea  of [the algorithms to project a 0-genus mesh on the sphere, referred below] is to let the object grow towards its convex  hull and then project it directly onto the sphere. [...]In our implementation we use a variation of this principle.  We first compute a voxelization of the given model. The  gradient of the corresponding volumetric distance function  is then used to guide the vertices of the given mesh towards  a convex configuration. This process can be considered as  some kind of inverse deformable surface technique.Here is the link to the article it cites:http://design.osu.edu/carlson/history/PDFs/shape-kent.pdfCan someone please explain me:How to compute a voxelization of a given model ?What is the corresponding volumetric distance function ?How to use its gradient to guide the vertices of the given mesh to a convex configuration ?Once we've got a convex configuration, projection on the sphere is easy.Any open source implementation is welcome.
How to project a 0 genus mesh model on a sphere?
mesh;projection