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 influenc...
| Main Author: | |
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| Other Authors: | , , |
| Format: | Book |
| Language: | English |
| Published: |
Basel ; Boston :
Birkhäuser Verlag,
[2004], ©2004
Basel ; Boston : Birkhäuser, c2004 Basel ; Boston : Birkhäuser Verlag, ©2004 Basel ; Boston : Birkhäuser, c2004 Basel ; Boston : c2004 Basel ; Boston : ©2004 Basel ; Boston : c2004 Basel ; Boston : [2004] |
| Series: | Progress in mathematics (Boston, Mass.) ;
v. 223 Progress in mathematics (Boston, Mass.) v. 223 |
| Subjects: |
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| 100 | 1 | |a Andreu-Vaillo, Fuensanta, |d 1955- |0 http://viaf.org/viaf/16597639 | |
| 100 | 1 | |a Andreu-Vaillo, Fuensanta, |d 1955- |1 http://viaf.org/viaf/16597639 | |
| 100 | 1 | |a Andreu-Vaillo, Fuensanta, |d 1955- | |
| 245 | 1 | 0 | |a Parabolic quasilinear equations minimizing linear growth functionals / |c Fuensanta Andreu-Vaillo, Vicent Caselles, José M. Mazón |
| 260 | |a Basel ; |a Boston : |b Birkhäuser Verlag, |c [2004], ©2004 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser Verlag, |c c2004 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser Verlag, |c ©2004 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser, |c c2004 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser Verlag, |c c2004 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser Verlag, |c ©2004 | ||
| 260 | |a Basel ; |a Boston : |b Birkhäuser, |c c2004 | ||
| 264 | 1 | |a Basel ; |a Boston : |b Birkhäuser Verlag, |c [2004] | |
| 264 | 4 | |c ©2004 | |
| 300 | |a xiv, 340 p. : |b ill. ; |c 24 cm | ||
| 300 | |a xiv, 340 p. : |b port. ; |c 24 cm | ||
| 300 | |a xiv, 340 pages : |b illustrations ; |c 24 cm | ||
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| 490 | 1 | |a Progress in mathematics ; |v v. 223 | |
| 500 | |a This WorldCat-derived record is shareable under Open Data Commons ODC-BY, with attribution to OCLC |5 CTY | ||
| 504 | |a Includes bibliographical references (p. [323]-337) and index | ||
| 504 | |a Includes bibliographical references (pages 323-337) and index | ||
| 504 | |a Includes bibliographical references (pages [323]-337) and index | ||
| 504 | |a Includes bibliographical references and index | ||
| 505 | 0 | 0 | |g 1 |t Total Variation Based Image Restoration -- |g 2. |t Neumann Problem for the Total Variation Flow -- |g 3. |t Total Variation Flow in R[actual symbol not reproducible]N -- |g 4. |t Asymptotic Behaviour and Qualtitative Properties of Solutions -- |g 5. |t Dirichlet Problem for the Total Variation Flow -- |g 6. |t Parabolic Equations Minimizing Linear Growth Functionals: L[actual symbol not reproducible]2-Theory -- |g 7. |t Parabolic Equations Minimizing Linear Growth Functionals: L[actual symbol not reproducible]1-Theory -- |g App. A. |t Nonlinear Semigroups -- |g App. B. |t Functions of Bounded Variation -- |g App. C. |t Pairings Between Measures and Bounded Functions. |
| 505 | 0 | 0 | |g 1 |t Total Variation Based Image Restoration -- |g 2. |t The Neumann Problem for the Total Variation Flow -- |g 3. |t The Total Variation Flow in R[actual symbol not reproducible]N -- |g 4. |t Asymptotic Behaviour and Qualitative Properties of Solutions -- |g 5. |t The Dirichlet Problem for the Total Variation Flow -- |g 6. |t Parabolic Equations Minimizing Linear Growth Functionals: L[actual symbol not reproducible]2-Theory -- |g 7. |t Parabolic Equations Minimizing Linear Growth Functionals: L[actual symbol not reproducible]1-Theory -- |g App. A. |t Nonlinear Semigroups -- |g App. B. |t Functions of Bounded Variation -- |g App. C. |t Pairings Between Measures and Bounded Functions. |
| 505 | 0 | 0 | |g 1 |t Total Variation Based Image Restoration -- |g 2. |t The Neumann Problem for the Total Variation Flow -- |g 3. |t The Total Variation Flow in R[actual symbol not reproducible]N -- |g 4. |t Asymptotic Behaviour and Qualtitative Properties of Solutions -- |g 5. |t The Dirichlet Problem for the Total Variation Flow -- |g 6. |t Parabolic Equations Minimizing Linear Growth Functionals: L[actual symbol not reproducible]2-Theory -- |g 7. |t Parabolic Equations Minimizing Linear Growth Functionals: L[actual symbol not reproducible]1-Theory -- |g App. A. |t Nonlinear Semigroups -- |g App. B. |t Functions of Bounded Variation -- |g App. C. |t Pairings Between Measures and Bounded Functions. |
| 520 | |a 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 | ||
| 596 | |a 31 | ||
| 650 | 0 | |a Differential equations, Nonlinear | |
| 650 | 0 | |a Differential equations, Parabolic | |
| 650 | 0 | |a Finite differences | |
| 650 | 0 | |a Image processing |x Mathematics | |
| 650 | 0 | |a Nonlinear operators | |
| 650 | 7 | |a Differential equations, Nonlinear |2 fast | |
| 650 | 7 | |a Differential equations, Parabolic |2 fast | |
| 650 | 7 | |a Finite differences |2 fast | |
| 650 | 7 | |a Image processing |x Mathematics |2 fast | |
| 650 | 7 | |a Nonlinear operators |2 fast | |
| 700 | 1 | |a Caselles, Vicent, |d 1960- |0 http://viaf.org/viaf/28904746 | |
| 700 | 1 | |a Caselles, Vicent, |d 1960- |1 http://viaf.org/viaf/28904746 | |
| 700 | 1 | |a Caselles, Vicent, |d 1960- | |
| 700 | 1 | |a Mazón, José M., |d 1953- |1 http://viaf.org/viaf/161085620 | |
| 700 | 1 | |a Mazón, José M., |d 1953- | |
| 700 | 1 | |a Mazón, José M., |d 1953- |0 http://viaf.org/viaf/161085620 | |
| 700 | 1 | |a Mazón, José M., |d 1953- | |
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) ; |v v. 223 | |
| 830 | 0 | |a Progress in mathematics (Boston, Mass.) |v v. 223 | |
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