Removal Operations in nD Generalized Maps for Efficient Homology Computation

  • Guillaume Damiand
  • Rocio Gonzalez-Diaz
  • Samuel Peltier
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7309)

Abstract

In this paper, we present an efficient way for computing homology generators of nD generalized maps. The algorithm proceeds in two steps: (1) cell removals reduces the number of cells while preserving homology; (2) homology generator computation is performed on the reduced object by reducing incidence matrices into their Smith-Agoston normal form. In this paper, we provide a definition of cells that can be removed while preserving homology. Some results on 2D and 3D homology generators computation are presented.

Keywords

nD Generalized Maps Cellular Homology Homology Generators Removal Operations 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Guillaume Damiand
    • 1
  • Rocio Gonzalez-Diaz
    • 2
  • Samuel Peltier
    • 3
  1. 1.CNRS, LIRIS, UMR5205Université de LyonFrance
  2. 2.Dpto. de Matemática Aplicada IUniversidad de SevillaSpain
  3. 3.CNRS, XLIM-SIC, UMR6172Université de PoitiersFrance

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