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1 SIC XLIM - XLIM, Université de Poitiers 2 M2DisCo - Geometry Processing and Constrained Optimization LIRIS - Laboratoire d-InfoRmatique en Image et Systèmes d-information

Abstract : 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.

Keywords : Border operation Generalized maps Cellular homology.

Autor: Sylvie Alayrangues - Samuel Peltier - Guillaume Damiand - Pascal Lienhardt -



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