Discrete approximation of the Mumford-Shah functional in dimension two
نویسندگان
چکیده
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in the sense of F-convergence by a séquence of intégral functionals defined on piecewise affine functions. Résumé. La fonctionnelle de Mumford et Shah, proposée pour l'étude du problème de la segmentation d'images, est approchée au sens de la F-convergence par une suite de fonctionnelles intégrales définies sur des fonctions affines par morceaux. AMS Subject Classification. 26A45, 49J45, 49Q20, 68U10. Received: May 11, 1998.
منابع مشابه
Implementation of an adaptive finite-element approximation of the Mumford-Shah functional
where Ω ⊂ R2 is the image domain (a bounded open two-dimensional domain), g ∈ L∞(Ω) is the original image, that has to be segmented, K is a closed set of Hausdorff one-dimensional measure H1(K) and u ∈ C1(Ω \K). The set K is supposed to represent the edges of the segmented image u that is regular out of K and can be discontinuous across K (see Appendix A.2 for details). The actual minimization ...
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