Scale Space Operators on Hierarchies of Segmentations

  title={Scale Space Operators on Hierarchies of Segmentations},
  author={Bangalore Ravi Kiran and Jean Paul Fr{\'e}d{\'e}ric Serra},
A hierarchy of segmentations(partitions) is a multiscale set representation of the image. This paper introduces a new set of scale space operators or transformations on the space of hierarchies of partitions. An ordering of hierarchies is proposed which is endowed by an ω-ordering based on a global energy over the classes of the hierarchy. A class of Matheron semigroups are shown to exists in this ordering of hierarchies. A second contribution is the saliency transformation which fuses a… CONTINUE READING
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