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Name: Parabolic Quasilinear Equations Minimizing Linear Growth Functionals. 2004 ed..
Author: Andreu-Vaillo, Fuensanta / Caselles, Vicent / Mazon, Jose M.
ISBN: 978-3-7643-6619-3

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals. 2004 ed..

・ISBN 978-3-7643-6619-3 hard

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著者・編者	Andreu-Vaillo, Fuensanta / Caselles, Vicent / Mazon, Jose M.,
シリーズ	Progress in Mathematics
出版社	(Birkhauser Verlag AG, SZ)
出版年月	2004
ページ数	342 pp.
言語	ENG
ニュース番号	＜M25-22623＞

解説

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.