Parabolic Quasilinear Equations Minimizing Linear Growth Functionals
(Sprache: Englisch)
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...
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Klappentext zu „Parabolic Quasilinear Equations Minimizing Linear Growth Functionals “
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.
Inhaltsverzeichnis zu „Parabolic Quasilinear Equations Minimizing Linear Growth Functionals “
- Preface- 1. Total Variation Based Image Restoration
- 2. The Neumann Problem for the Total Variation Flow
- 3. The Total Variation Flow in R^N
- 4. Asymptotic Behaviour and Qualitative Properties of Solutions
- 5. The Dirichlet Problem for the Total Variation Flow
- 6. Parabolic Equations Minimizing Linear Growth Functionals: L^2-Theory
- 7. Parabolic Equations Minimizing Linear Growth Functionals: L^1-Theory
- App. A. Nonlinear Semigroups
- App. B. Functions of Bounded Variation
- App. C. Pairings Between Measures and Bounded Functions
- References
- Index.
Bibliographische Angaben
- Autoren: F. Andreu-Vaillo , V. Caselles , J. M. Mazon
- 2004, 2004, 360 Seiten, Maße: 16 x 24,1 cm, Gebunden, Englisch
- Verlag: Springer Basel
- ISBN-10: 3764366192
- ISBN-13: 9783764366193
- Erscheinungsdatum: 26.01.2004
Sprache:
Englisch
Rezension zu „Parabolic Quasilinear Equations Minimizing Linear Growth Functionals “
"This book is well written...[and] should be of interest to anyone studying image reconstruction and to anyone in PDEs trying to see what kinds of modern applications abound for the subject."
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