This book details the mathematical developments in total variation based
image restauration.
From the reviews:
"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."-- ZENTRALBLATT
MATH