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arxiv: 1302.3669 · v1 · pith:X4HGKBQ2new · submitted 2013-02-15 · 💻 cs.CG · math.AT

On a numerical algorithm for computing topological characteristics of three-dimensional bodies

classification 💻 cs.CG math.AT
keywords algorithmbodiescharacteristicscomputingmorsethree-dimensionaltopologicalanalogs
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We present an algorithm for computing the main topological characteristics of three-dimensional bodies. The algorithm is based on a discretization of Morse theory and uses discrete analogs of smooth functions with only nondegenerate (Morse) and the simplest degenerate critical points.

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