s. m. shah

We prove that, if u is a function satisfying all Euler conditions for the Mumford-Shah functional and the discontinuity set of u is given by three line segments meeting at the origin with equal angles, then there exists a neighbourhood U of the origin such that u is a minimizer of the Mumford-Shah functional on U with respect to its own boundary conditions on ∂U . The proof is obtained by using...

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 déf...

This paper presents a novel adaptive vision system for accurate segmentation of tissue structures in echographic medical images. The proposed vision system incorporates a level-set deformable model based on a modified Mumford-Shah functional, which is estimated over sparse foreground and background regions in the image. This functional is designed so that it copes with the intensity inhomogenei...