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Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity |
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| Authors: | M Hintermüller A Laurain | ||
| Affiliation: | 1.Humboldt-Universit?t zu Berlin,Berlin,Germany;2.Department of Mathematics and Scientific Computing,University of Graz,Graz,Austria | ||
| Abstract: | 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.
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| Keywords: | Image processing k-means clustering Modulation recovery Mumford-Shah functional Piecewise constant reconstruction Segmentation Shape and topological sensitivity | ||
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