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- W172034995 abstract "This paper presents an active contour approach for the simultaneous inversion and segmentation of X-ray tomography data from its Radon Transform. The optimality system is found as the necessary optimality condition for a Mumford-Shah like functional over the space of piecewise smooth densities, which may be discontinuous across the contour. In our approach the functional variable is eliminated by solving a classical variational problem for each fixed geometry. The solution is then inserted in the Mumford-Shah cost functional leading to a geometrical optimization problem for the singularity set. The resulting shape optimization problem is solved using shape sensitivity calculus and propagation of shape variables in the level-set form.As a special feature of this paper, a new, second order accurate, finite difference method based approach for the solution of the optimality system is introduced and numerical experiments are presented." @default.
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- W172034995 date "2009-01-01" @default.
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- W172034995 title "An Active Contour Approach for a Mumford-Shah Model in X-Ray Tomography" @default.
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- W172034995 doi "https://doi.org/10.1007/978-3-642-10520-3_98" @default.
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