, Volume 35, Issue 1, pp 1-22
Date: 04 Apr 2009

Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity

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Topological sensitivity analysis is performed for the piecewise constant Mumford-Shah functional. Topological and shape derivatives are combined in order to derive an algorithm for image segmentation with fully automatized initialization. Segmentation of 2D and 3D data is presented. Further, a generalized Mumford-Shah functional is proposed and numerically investigated for the segmentation of images modulated due to, e.g., coil sensitivities.