Adaptation of the watershed cuts algorithm to cellular complexes

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Abstract

The main purpose of the watershed algorithm is to segment a gray-level image into regions (basins). More specifically, the "watershed cut" algorithm performs some cuts in an edge-valued graph built from an image.First we have considered an image as a 4-connected graph, where the vertices represent the pixels. Yet we have noticed that this representation can miss some local minima. A second approach, based on a simplicial complex, has been studied. This work relies on Milena, the generic C++ library dedicated to image processing library developed at the LRDE.