- ACM Transactions on Graphics
- , Roi Poranne, Daniele Panozzo, Olga Sorkine-Hornung
We present a scalable approach for the optimization of flip-preventing energies in the general context of simplicial mappings, and specifically for mesh parameterization. Our iterative minimization is based the observation that many distortion energies can be optimized indirectly by minimizing a family of simpler proxy energies. Minimization of these proxies is a natural extension of the local/global minimization of the ARAP energy. Our algorithm is simple to implement and scales to datasets with millions of faces. We demonstrate our approach for the computation of maps that minimize a conformal or isometric distortion energy, both in two and three dimensions. In addition to mesh parameterization, we show that our algorithm can be applied to mesh deformation and mesh quality improvement.
The authors would like to thank Shahar Kovalsky for providing the source code for AQP and for illuminating discussions, and the anonymous reviewers for their useful comments and suggestions. This work was supported in part by the ERC grant iModel (StG- 2012-306877), a gift from Adobe, and Courant Institute’s faculty start-up funding.