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Communication Dans Un Congrès Année : 2009

Border operator for generalized maps

Sylvie Alayrangues
SIC
Samuel Peltier
SIC
Pascal Lienhardt
SIC

Résumé

In this paper, we define a border operator for the 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.
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Dates et versions

hal-00437746 , version 1 (27-04-2017)

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Sylvie Alayrangues, Samuel Peltier, Guillaume Damiand, Pascal Lienhardt. Border operator for generalized maps. 15th IAPR International Conference on Discrete Geometry for Computer Imagery (DGCI 2009), Sep 2009, Montreal, Canada. pp.300-312, ⟨10.1007/978-3-642-04397-0_26⟩. ⟨hal-00437746⟩
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