We introduce a robust optimization method for flip-free distortion energies . We exploit the special structure of distortion energies to employ an operatorsplitting technique . The scheme results in an efficient method where theglobal step involves a single matrix multiplication and the local steps are closed-form per-triangle/per-tetrahedron expressions that are highlyparallelizable . We establish the convergence of our proposed algorithmunder certain conditions and demonstrate applications to parametrization,deformation, and volume correspondence. We establish . certain conditions, and demonstrate . applications to certain conditions . The resulting algorithm exhibitsrobustness to flipped triangles and tetrahedra in initial data as well as during the optimization.

Author(s) : Oded Stein, Jiajin Li, Justin Solomon

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Keywords : energies - conditions - distortion - establish - optimization -

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