Modèle de la membrane faible associée à une loi Beta: Application à la tomographie par courants de Foucault

This work deals with Eddy currents imaging system. The solution of the associated inverse problem is regularized in a Bayesian estimation framework. The proposed approach combines the following ap riori informations : the function to be reconstructed had to be piecewise continous and must belong to a certain domain. This compound a priori knowledge allows to enhance reconstruction result regarding to the shape precision and the size resolution of the objects to be reconstructed in this kind of application.