Andreu-Vaillo F., Caselles V., Mazon J.M. Parabolic Quasilinear Equations Minimizing Linear Growth Functionals

Basel: Birkhäuser, 2012. — 349 p.This book details the mathematical developments in total variation based image restauration.
This book is devoted to PDE's of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters...The book is written with great care, paying also a lot of attention to the bibliographical and historical notes.