Computation of Homology Groups and Generators

Samuel Peltier 1 Sylvie Alayrangues 1, 2 Laurent Fuchs 1 Jacques-Olivier Lachaud 2
1 SIC - SIGNAL-IMAGE-COMMUNICATION
2 LaBRI - Laboratoire Bordelais de Recherche en Informatique
Abstract : Topological invariants are extremely useful in many applications related to digital imaging and geometric modelling, and homology is a classical one. We present an algorithm that computes the whole homology of an object of arbitrary dimension: Betti numbers, torsion coefficients and generators. Results on classical shapes in algebraic topology are presented and discussed.
Type de document :
Communication dans un congrès
Discrete Geometry for Computer Imagery, Apr 2005, Poitiers, France. 3429, pp.195--205, 2005, Lecture Notes in Computer Science
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https://hal.archives-ouvertes.fr/hal-00308012
Contributeur : Samuel Peltier <>
Soumis le : mardi 29 juillet 2008 - 16:23:04
Dernière modification le : mercredi 5 septembre 2018 - 13:30:05

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  • HAL Id : hal-00308012, version 1

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Samuel Peltier, Sylvie Alayrangues, Laurent Fuchs, Jacques-Olivier Lachaud. Computation of Homology Groups and Generators. Discrete Geometry for Computer Imagery, Apr 2005, Poitiers, France. 3429, pp.195--205, 2005, Lecture Notes in Computer Science. 〈hal-00308012〉

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