Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

https://hal.inria.fr/inria-00099507
Contributor : Publications Loria <>
Submitted on : Tuesday, September 26, 2006 - 9:37:57 AM
Last modification on : Friday, February 26, 2021 - 3:28:02 PM

Identifiers

  • HAL Id : inria-00099507, version 1

Collections

Citation

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⟩

Share

Metrics

Record views

152