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The non-horizontal cuts of a hierarchy and the floodings of an image are well-established tools for image segmenting and filtering 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...
In this paper, we investigate the links between the flooding paradigm and the topological watershed. Guided by the analysis of a classical flooding algorithm, we present several notions that lead us to a better understanding of the watershed: minima extension, mosaic, pass value and separation. We first make a detailed examination of the effectiveness of the divide set produced by watershed algorithms...
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