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We analyse the problem of image segmentation, in the framework of the approximation theory (as it was de ned by Mumford and Shah). We show that for real images the problem of the choice of the energy functional is dictated by the model of the world, and we propose a method to optimize it based upon a deterministic algorithm processed at multiple levels of resolution. Problems encountered in dealing with real scenes lead to several modi cation.doi:10.1109/iccv.1993.378219 dblp:conf/iccv/Ackah-MiezanG93 fatcat:pxl4drrqy5fkjctd2txshwpfuq