We show how the piecewise-smooth Mumford-Shah segmentation problem can be solved using the level set method of Osher and Sethian (1988). The obtained algorithm can be simultaneously used to denoise, segment, detect-extract edges, and perform active contours. The proposed model is also a generalisation of a previous active contour model without edges, proposed by the authors in Chan et al., (2001), and of its extension to the case with more than two segments for piecewise-constant segmentation Chan et al., (2000). Based on the four color theorem, we can assume that in general, at most two level set functions are sufficient to detect and represent distinct objects of distinct intensities, with triple junctions, or T-junctions.


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    Title :

    A level set algorithm for minimizing the Mumford-Shah functional in image processing


    Contributors:
    Chan, T.F. (author) / Vese, L.A. (author)


    Publication date :

    2001-01-01


    Size :

    884667 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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