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Genus-reducing simplifications are important in constructing mul- tiresolution hierarchies for level-of-detail-based rendering, espe- cially for datasets that have several relatively small holes, tunnels, and cavities. We present a genus-reducing simplification approach that is complementary to the existing work on genus-preserving simplifications. We propose a simplification framework in which genus-reducing and genus-preserving simplifications alternate to yield much better multiresolution hierarchies than would have been possible by using either one of them. In our approach we first iden- tify the holes and the concavities by extending the concept of - hulls to polygonal meshes under the distance metric and then generate valid triangulations to fill them.

Controlled simplification of genus for polygonal models