CGGC Seminar: Bounded Aspect-ratio Mappings of Letrahedral Meshes

Noam Aigerman (Department of Computer Science and Applied Mathematics, Weizmann Institute)
Sunday, 7.4.2013, 13:00
Room 337-8 Taub Bld.

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.

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