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Border Operator for Generalized Maps

  • Sylvie Alayrangues
  • Samuel Peltier
  • Guillaume Damiand
  • Pascal Lienhardt
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5810)

Abstract

In this paper, we define a border operator for generalized maps, a data structure for representing cellular quasi-manifolds. The interest of this work lies in the optimization of homology computation, by using a model with less cells than models in which cells are regular ones as tetrahedra and cubes. For instance, generalized maps have been used for representing segmented images. We first define a face operator to retrieve the faces of any cell, then deduce the border operator and prove that it satisfies the required property : border of border is void. At last, we study the links between the cellular homology defined from our border operator and the classical simplicial homology.

Keywords

Homology Group Edge Incident Klein Bottle Face Operator Compact Cell 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Sylvie Alayrangues
    • 1
  • Samuel Peltier
    • 1
  • Guillaume Damiand
    • 2
  • Pascal Lienhardt
    • 1
  1. 1.XLIM-SICUniversité de Poitiers, CNRS, Bât. SP2MI, Téléport 2, Bvd Marie et Pierre CurieFuturoscope Chasseneuil CedexFrance
  2. 2.CNRS, LIRIS, UMR5205Université de LyonFrance

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