Description
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals, 2004
Progress in Mathematics Series, Vol. 223
Authors: Andreu-Vaillo Fuensanta, Caselles Vicent, Mazon José M.
Language: English52.74 €
Subject to availability at the publisher.
Add to cart the book of Andreu-Vaillo Fuensanta, Caselles Vicent, Mazon José M.342 p. · 15.5x23.5 cm · Paperback
116.04 €
Subject to availability at the publisher.
Add to cart the book of Andreu-Vaillo Fuensanta, Caselles Vicent, Mazon José M.Publication date: 01-2004
342 p. · 15.5x23.5 cm · Hardback
Description
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Award-winning monograph of the Ferran Sunyer i Balaguer Prize 2003.
This book contains a detailed mathematical analysis of the variational approach to image restoration based on the minimization of the total variation submitted to the constraints given by the image acquisition model. This model, initially introduced by Rudin, Osher, and Fatemi, had a strong influence in the development of variational methods for image denoising and restoration, and pioneered the use of the BV model in image processing. After a full analysis of the model, the minimizing total variation flow is studied under different boundary conditions, and its main qualitative properties are exhibited. In particular, several explicit solutions of the denoising problem are computed.