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| HAL: hal-00308012, version 1 |
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| Discrete Geometry for Computer Imagery, Poitiers : France (2005) |
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| Computation of Homology Groups and Generators |
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| Samuel Peltier 1Sylvie Alayrangues 1, 2 |
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| For the IG ; Image et Son collaboration(s) |
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| (2005) |
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| 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. |
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| 1: | SIGNAL-IMAGE-COMMUNICATION (SIC) |
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CNRS : FRE2731 – Université de Poitiers |
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| 2: | Laboratoire Bordelais de Recherche en Informatique (LaBRI) |
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CNRS : UMR5800 – Université Sciences et Technologies - Bordeaux I – École Nationale Supérieure d'Électronique, Informatique et Radiocommunications de Bordeaux (ENSEIRB) – Université Victor Segalen - Bordeaux II |
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| Subject | : | Computer Science/Other |
| hal-00308012, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00308012 | |
| oai:hal.archives-ouvertes.fr:hal-00308012 | |
| From: Samuel Peltier | |
| Submitted on: Tuesday, 29 July 2008 16:23:04 | |
| Updated on: Wednesday, 2 December 2009 11:00:48 | |
