2008, English, Article edition: Computing Homology Generators for Volumes Using Minimal Generalized Maps Damiand, Guillaume; Peltier, Samuel; Fuchs, Laurent

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Bookmark: http://trove.nla.gov.au/version/205019
Physical Description
  • text
Published
  • HAL - CCSD
  • 2008
Language
  • English

Edition details

Title
  • Computing Homology Generators for Volumes Using Minimal Generalized Maps
Author
  • Damiand, Guillaume
  • Peltier, Samuel
  • Fuchs, Laurent
Published
  • HAL - CCSD
  • 2008
Physical Description
  • text
Subjects
Notes
  • In this paper, we present an algorithm for computing efficiently homology generators of 3D subdivided orientable objects which can contain tunnels and cavities. Starting with an initial subdivision, represented with a generalized map where every cell is a topological ball, the number of cells is reduced using simplification operations (removal of cells), while preserving homology. We obtain a minimal representation which is homologous to the initial object. A set of homology generators is then directly deduced on the simplified 3D object.
  • HAL:hal-00305471, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00305471/​en/​
  • DOI:10.1007/​978-3-540-78275-9_6
Language
  • English
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