Linear segmentation of discrete curves into blurred segments

  • Authors:
  • Isabelle Debled-Rennesson;Jean-Luc Rémy;Jocelyne Rouyer-Degli

  • Affiliations:
  • LORIA (Laboratoire LOrrain de Recherche en Informatique et ses Applications) Vandœuvre-lès-Nancy, France and Institut National de Recherche en Informatique et en Automatique, France;LORIA (Laboratoire LOrrain de Recherche en Informatique et ses Applications) Vandœuvre-lès-Nancy, France and Centre National de la Recherche Scientifique, France;LORIA (Laboratoire LOrrain de Recherche en Informatique et ses Applications) Vandœuvre-lès-Nancy, France and Université Henri Poincaré, Nancy, France

  • Venue:
  • Discrete Applied Mathematics - Special issue: IWCIA 2003 - Ninth international workshop on combinatorial image analysis
  • Year:
  • 2005

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Abstract

The concept of blurred segment is introduced, it allows the flexible segmentation of discrete curves, taking into account noise. Relying on an arithmetic definition of discrete lines [J.-P. Reveillès, Géométrie discrète, calculs en nombre entiers et algorithmique, Thèse d'état, Université Louis Pasteur, Strasbourg, 1991], it generalizes such lines, admitting that some points are missing. Thus, a larger class of objects is considered. A very efficient linear detection algorithm for blurred segments and its application to curve segmentation are presented.