Morphological Floodings and Optimal Cuts in Hierarchies

Abstract : The non-horizontal cuts of a hierarchy and the floodings of an image are well-established tools for image segmenting and fil-tering respectively. We present definitions of non-horizontal cuts and of floodings in the same framework of hierarchies of partitions. We show that, given a hierarchy, there is a one-to-one correspondence between the non-horizontal cuts and the floodings. This opens the door to optimal image fil-tering based on non-horizontal cuts and, conversely, to non-horizontal cuts obtained by morphological floodings, or more generally by connected filterings.
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  • HAL Id : hal-01082353, version 1

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Jean Cousty, Laurent Najman. Morphological Floodings and Optimal Cuts in Hierarchies. International Conference on Image Processing (ICIP), Oct 2014, Paris, France. ⟨hal-01082353⟩

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