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Conference Papers Year : 2000

Detection of the Discrete Convexity of Polyominoes


The convexity of a discrete region is a property used in numerous domains of computational imagery. We study its detection iu 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 algorithm whose correctness is proven. Correlatively, we obtain a characterisation of lower and upper convex hulls of a discrete line segment. Finally, we evoke some applications of these results to the problem of discrete tomography.
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inria-00099095 , version 1 (26-09-2006)


  • HAL Id : inria-00099095 , version 1


Isabelle Debled-Rennesson, Jean-Luc Rémy, Jocelyne Rouyer-Degli. Detection of the Discrete Convexity of Polyominoes. International Conference on Discrete Geometry for Computer Imagery - DGCI'2000, 2000, Uppsala, Suède, pp.491-504. ⟨inria-00099095⟩
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