Abstract

Image restoration is usually conducted by solving the minimizer of an energy functional with two terms: a data term and a regularization term. In this talk, the regularization term will be considered as a function of the magnitude of image gradient and we will quickly review some qualitative conditions on that function to ensure good restoration.

Reference: G. Aubert and P. Kornprobst, Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations, Second Edition, Springer 2006.