This book covers with great detail the mathematical developments in total variation based image restauration. It contains a full analysis of quasilinear parabolic equations whose operator is in divergence form, being the subdifferential of a convex function of the modulus of the gradient.

The techniques can be used to justify many mathematical models appearing in different contexts like continuum mechanics, faceted crystal growth, and image processing. The book will be useful to graduate students and researchers in mathematics and image processing.