Parabolic Quasilinear Equations Minimizing Linear Growth Functionals:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
2004
|
| Series: | Progress in Mathematics
223 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | 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 |
| Physical Description: | 1 Online-Ressource (XIV, 342 p) |
| ISBN: | 9783034879286 9783034896245 |
| DOI: | 10.1007/978-3-0348-7928-6 |
Staff View
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| id | DE-604.BV042421990 |
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| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034879286 9783034896245 |
| language | English |
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| spelling | Andreu-Vaillo, Fuensanta Verfasser aut Parabolic Quasilinear Equations Minimizing Linear Growth Functionals by Fuensanta Andreu-Vaillo, José M. Mazón, Vicent Caselles Basel Birkhäuser Basel 2004 1 Online-Ressource (XIV, 342 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 223 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 Mathematics Functional analysis Differential equations, partial Visualization Mathematical optimization Partial Differential Equations Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Nichtlinearer Operator (DE-588)4225824-8 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 gnd rswk-swf Parabolische Differentialgleichung (DE-588)4173245-5 s Nichtlineare Differentialgleichung (DE-588)4205536-2 s Nichtlinearer Operator (DE-588)4225824-8 s 1\p DE-604 Mazón, José M. Sonstige oth Caselles, Vicent Sonstige oth https://doi.org/10.1007/978-3-0348-7928-6 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Andreu-Vaillo, Fuensanta Parabolic Quasilinear Equations Minimizing Linear Growth Functionals Mathematics Functional analysis Differential equations, partial Visualization Mathematical optimization Partial Differential Equations Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4225824-8 (DE-588)4173245-5 |
| title | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals |
| title_auth | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals |
| title_exact_search | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals |
| title_full | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals by Fuensanta Andreu-Vaillo, José M. Mazón, Vicent Caselles |
| title_fullStr | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals by Fuensanta Andreu-Vaillo, José M. Mazón, Vicent Caselles |
| title_full_unstemmed | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals by Fuensanta Andreu-Vaillo, José M. Mazón, Vicent Caselles |
| title_short | Parabolic Quasilinear Equations Minimizing Linear Growth Functionals |
| title_sort | parabolic quasilinear equations minimizing linear growth functionals |
| topic | Mathematics Functional analysis Differential equations, partial Visualization Mathematical optimization Partial Differential Equations Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Nichtlinearer Operator (DE-588)4225824-8 gnd Parabolische Differentialgleichung (DE-588)4173245-5 gnd |
| topic_facet | Mathematics Functional analysis Differential equations, partial Visualization Mathematical optimization Partial Differential Equations Approximations and Expansions Functional Analysis Calculus of Variations and Optimal Control; Optimization Mathematik Nichtlineare Differentialgleichung Nichtlinearer Operator Parabolische Differentialgleichung |
| url | https://doi.org/10.1007/978-3-0348-7928-6 |
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