Consistently Orienting Facets in Polygon Meshes by Minimizing the Dirichlet Energy of Generalized Winding Numbers

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Center for Human Modeling and Simulation
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Computer Sciences
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Graphics and Human Computer Interfaces
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Takayama, Kenshi
Jacobson, Alec
Sorkine-Hornung, Olga
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Jacobson et al. [JKSH13] hypothesized that the local coherency of the generalized winding number function proposed in that work could be used to correctly determine consistent facet orientations in polygon meshes. We report on an approach to consistently orienting facets in polygon meshes by minimizing the Dirichlet energy of generalized winding numbers. While the energy can be concisely formulated and efficiently computed, we found that this approach is fundamentally flawed and is unfortunately not applicable for most handmade meshes shared on popular mesh repositories such as Google 3D Warehouse.

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2014-01-01
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This paper can be found in arXiv at http://arxiv.org/abs/1406.5431.
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