The Taub Faculty of Computer Science Events and Talks

We present an algorithm that, given a piecewise-linear mapping of a tetrahedral mesh, generates a similar map that is guaranteed to have bounded aspect-ratio distortion, and also to be locally injective. We further prove that if the boundary is mapped bijectively, the mapping is globally bijective.

We display several uses of our algorithm, namely for tetrahedral mesh deformations, parameterizations and mesh improvement.