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Hierarchical Watersheds Within the Combinatorial Pyramid Framework

  • Luc Brun
  • Myriam Mokhtari
  • Fernand Meyer
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3429)

Abstract

Watershed is one of the most popular tool defined by mathematical morphology. The algorithms which implement the watershed transform generally produce an over segmentation which includes the right image’s boundaries. Based on this last assumption, the segmentation problem turns out to be equivalent to a proper valuation of the saliency of each contour. Using such a measure, hierarchical watershed algorithms use the edge’s saliency conjointly with statistical tests to decimate the initial partition. On the other hand, Irregular Pyramids encode a stack of successively reduced partitions. Combinatorial Pyramids consitute the latest model of this family. Within this framework, each partition is encoded by a combinatorial map which encodes all topological relationships between regions such as multiple boundaries and inclusion relationships. Moreover, the combinatorial pyramid framework provides a direct access to the embedding of the image’s boundaries. We present in this paper a hierarchical watershed algorithm based on combinatorial pyramids. Our method overcomes the problems connected to the presence of noise both within the basins and along the watershed contours.

Keywords

Double Edge Oriented Matroids Watershed Algorithm Adjacent Basin Watershed Transformation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2005

Authors and Affiliations

  • Luc Brun
    • 1
  • Myriam Mokhtari
    • 1
  • Fernand Meyer
    • 2
  1. 1.GreyC CNRS UMR 6072Équipe Image – EnsicaenCAENFrance
  2. 2.Centre de Morphologie Mathématique (CMM)FontainebleauFrance

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