We consider a discrete approximation of the Mumford-Shah functional defined on finite element spaces. For some meaningful model case we study global and local minima, then, from their behavior, we can propose two minimization methods, based on the quasi-Newton algorithm, which can find the absolute minimum of the functional
Using a calibration method, we prove that, if w is a function that satisfies all the Euler condition...
We present an asymptotic description of local minimization problems, and of quasistatic and dynamic ...
The paper is concerned with the higher regularity properties of the minimizers of the Mumford-Shah f...
We present and detail a method for the numerical solving of the Mumford-Shah problem, based on a fin...
Using a calibration method, we prove that, if w is a function which satisfies all the Euler conditio...
Let Ω be a bounded piecewise regular open set with convex corners, and let MS(u) be the Mumford-Shah...
In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a crit...
G. Alberti, G. Bouchitte and G. Dal Maso [The calibration method for the Mumford-Shah functional, C....
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in th...
We prove that, if u is a function satisfying all the Euler conditions for the Mumford-Shah functiona...
Abstract. In this paper it is shown that any regular critical point of the Mumford-Shah func-tional,...
In this thesis we consider the one dimensional version of the functional introduced by D. Mumford an...
Abstract. A new necessary minimality condition for the Mumford-Shah functional is derived by means o...
We study the pointwise convergence and the Gamma-convergence of a family of nonlocal functionals def...
Abstract. In this paper it is shown that any regular critical point of the Mumford-Shah func-tional,...
Using a calibration method, we prove that, if w is a function that satisfies all the Euler condition...
We present an asymptotic description of local minimization problems, and of quasistatic and dynamic ...
The paper is concerned with the higher regularity properties of the minimizers of the Mumford-Shah f...
We present and detail a method for the numerical solving of the Mumford-Shah problem, based on a fin...
Using a calibration method, we prove that, if w is a function which satisfies all the Euler conditio...
Let Ω be a bounded piecewise regular open set with convex corners, and let MS(u) be the Mumford-Shah...
In this note we adapt the calibration method to functionals of Mumford-Shah type, and provide a crit...
G. Alberti, G. Bouchitte and G. Dal Maso [The calibration method for the Mumford-Shah functional, C....
The Mumford-Shah functional, introduced to study image segmentation problems, is approximated in th...
We prove that, if u is a function satisfying all the Euler conditions for the Mumford-Shah functiona...
Abstract. In this paper it is shown that any regular critical point of the Mumford-Shah func-tional,...
In this thesis we consider the one dimensional version of the functional introduced by D. Mumford an...
Abstract. A new necessary minimality condition for the Mumford-Shah functional is derived by means o...
We study the pointwise convergence and the Gamma-convergence of a family of nonlocal functionals def...
Abstract. In this paper it is shown that any regular critical point of the Mumford-Shah func-tional,...
Using a calibration method, we prove that, if w is a function that satisfies all the Euler condition...
We present an asymptotic description of local minimization problems, and of quasistatic and dynamic ...
The paper is concerned with the higher regularity properties of the minimizers of the Mumford-Shah f...