Tesselations by Connection in Orders

  • Michel Couprie
  • Gilles Bertrand
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1953)


The watershedt ransformation is a powerful tool for segmenting images, but its precise de.nition in discrete spaces raises di.cult problems. We propose a new approach in the framework of orders. We introduce the tesselation by connection, which is a transformation that preserves the connectivity, andcan be implemented by a parallel algorithm. We prove that this transformation possesses goodg eometrical properties. The extension of this transformation to weightedo rders may be seen as a generalization of the watershedt ransformation.


discrete topology order, discrete distance infuence zones watershed 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Michel Couprie
    • 1
  • Gilles Bertrand
    • 1
  1. 1.Laboratoire A2SIESIEE Cité DescartesNoisy-Le-GrandFrance

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