On converting sets of tetrahedra to combinatorial and PL manifolds
Computer Aided Geometric Design
Robust inside-outside segmentation using generalized winding numbers
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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We propose an algorithm to convert a tetrahedral mesh with singularities to a combinatorial 3-manifold using only local modifications. We outline sufficient conditions on the mesh to guarantee the feasibility of the approach and we show how singularities can be both identified and removed according to the configuration of their link. Furthermore, we demonstrate that the algorithm can be implemented using a flexible state-of-the-art data structure for manifold tetrahedral meshes suitable for efficient and general applications.