Detection of the Discrete Convexity of Polyominoes

Isabelle Debled-Rennesson 1 Jean-Luc Rémy 1 Jocelyne Rouyer-Degli 1
1 ADAGE - Applying discrete algorithms to genomics
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : The convexity of a discrete region is a property used in numerous domains of computational imagery. We study its detection in the particular case of polyominoes. We present a first method, directly relying on its definition. A second method, which is based on techniques for segmentation of curves in discrete lines, leads to a very simple, linear algorithm, whose correction is proven. Correlatively, we obtain a characterisation of lower and upper frontiers of the convex hull of a discrete line segment. Finally, we evoke some applications of these results to the problem of discrete tomography.
Type de document :
Article dans une revue
Discrete Applied Mathematics, Elsevier, 2003, 125 (1), pp.115-133
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Soumis le : mardi 26 septembre 2006 - 09:37:57
Dernière modification le : jeudi 11 janvier 2018 - 06:19:48


  • HAL Id : inria-00099507, version 1



Isabelle Debled-Rennesson, Jean-Luc Rémy, Jocelyne Rouyer-Degli. Detection of the Discrete Convexity of Polyominoes. Discrete Applied Mathematics, Elsevier, 2003, 125 (1), pp.115-133. 〈inria-00099507〉



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