1. Detection of the discrete convexity of polyominoes
- Author
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Debled-Rennesson, Isabelle, Rémy, Jean-Luc, and Rouyer-Degli, Jocelyne
- Subjects
- *
CONVEX domains , *DISCRETE geometry , *ALGORITHMS - 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 correctness 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. [Copyright &y& Elsevier]
- Published
- 2003
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