Approximate Parallelism between Fuzzy Objects: Some Definitions

  • Authors:
  • Maria Carolina Vanegas;Isabelle Bloch;Henri Maître;Jordi Inglada

  • Affiliations:
  • Institut Telecom, TELECOM ParisTech , CNRS-LTCI UMR, Paris, France 5141 and CNES, Toulouse, France;Institut Telecom, TELECOM ParisTech , CNRS-LTCI UMR, Paris, France 5141;Institut Telecom, TELECOM ParisTech , CNRS-LTCI UMR, Paris, France 5141;CNES, Toulouse, France

  • Venue:
  • WILF '09 Proceedings of the 8th International Workshop on Fuzzy Logic and Applications
  • Year:
  • 2009

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Abstract

Assessing the parallelism between objects is an important issue when considering man-made objects such as buildings, roads, etc. In this paper, we address this problem in the fuzzy set framework and define novel approximate parallelism notions, for fuzzy segments and non-linear objects or groups of objects. The proposed definitions are in agreement with the intuitive perception of this spatial relation, as illustrated on real objects from satellite images.