Removing excess topology from isosurfaces
ACM Transactions on Graphics (TOG)
Fair morse functions for extracting the topological structure of a surface mesh
ACM SIGGRAPH 2004 Papers
Plumber: a method for a multi-scale decomposition of 3D shapes into tubular primitives and bodies
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
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The algorithm for automatic reducing of the topology of a h-genus three-dimensional polyhedron to the topology of a ball is proposed. The polyhedron is assumed to be represented by a three-dimensional cell complex. The special technique for separation of two-dimensional subcomplexes producing the cutting surfaces is described. This technique is based on calculation of Betti groups of the polyhedron.