Cantitate/Preț
Produs
Total produse
Vezi coșul
Parabolic Quasilinear Equations Minimizing Linear Growth Functionals de Fuensanta Andreu-Vaillo

Parabolic Quasilinear Equations Minimizing Linear Growth Functionals: Progress in Mathematics, cartea 223

Autor Fuensanta Andreu-Vaillo, Vicent Caselles, José M. Mazon
en Limba Engleză Hardback – 26 ian 2004
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.
Citește tot Restrânge

Toate formatele și edițiile

Toate formatele și edițiile Preț Express
Paperback (1) 38390 lei  6-8 săpt.
  Birkhäuser Basel – 30 oct 2012 38390 lei  6-8 săpt.
Hardback (1) 69201 lei  6-8 săpt.
  Birkhäuser Basel – 26 ian 2004 69201 lei  6-8 săpt.

Din seria Progress in Mathematics

  • 24% Rational Homotopy Theory and Differential Forms
    Preț: 74075 lei
  • Topics in Operator Semigroups
    Preț: 30819 lei
  • 20% Éléments de Géométrie Rigide: Volume I. Construction et Étude Géométrique des Espaces Rigides
    Preț: 69585 lei
  • CR Submanifolds of Kaehlerian and Sasakian Manifolds
    Preț: 36250 lei
  • 20% Lie Groups: Structure, Actions, and Representations: In Honor of Joseph A. Wolf on the Occasion of his 75th Birthday
    Preț: 58458 lei
  • Inverse Problems in Ordinary Differential Equations and Applications
    Preț: 30811 lei
  • 18% Spectral Theory of Infinite-Area Hyperbolic Surfaces
    Preț: 73410 lei
  • 9% Motivic Integration
    Preț: 76637 lei
  • 20% Interactions of Quantum Affine Algebras with Cluster Algebras, Current Algebras and Categorification: In honor of Vyjayanthi Chari on the occasion of her 60th birthday
    Preț: 63106 lei
  • 24% Extrinsic Geometry of Foliations
    Preț: 63885 lei
  • 15% Symplectic Geometry and Secondary Characteristic Classes
    Preț: 56909 lei
  • Quadratic Forms in Infinite Dimensional Vector Spaces
    Preț: 38716 lei
  • Quadratic Forms in Infinite Dimensional Vector Spaces
    Preț: 38449 lei
  • Mathematical Analysis
    Preț: 36923 lei
  • Ergodic Theory and Dynamical Systems I: Proceedings Special Year, Maryland 1979–80
    Preț: 38241 lei
  • 18% Pseudodifferential Operators and Nonlinear PDE
    Preț: 71478 lei
  • 15% Harmonic Analysis on Reductive Groups
    Preț: 63930 lei
  • 15% Radon Integrals: An abstract approach to integration and Riesz representation through function cones
    Preț: 63609 lei
  • 18% The Langlands Classification and Irreducible Characters for Real Reductive Groups
    Preț: 87976 lei
  • New Developments in Lie Theory and Their Applications
    Preț: 37734 lei
  • Computational Algebraic Geometry
    Preț: 38316 lei
  • Progress in Mathematics: Probability Theory, Mathematical Statistics, and Theoretical Cybernetics
    Preț: 37094 lei
  • 15% Morse Homology
    Preț: 52085 lei
  • 15% Generalized Vertex Algebras and Relative Vertex Operators
    Preț: 62983 lei
  • 15% Decomposition Spectrale et Series d'Eisenstein
    Preț: 63754 lei
  • Residue Currents and Bezout Identities
    Preț: 37356 lei
  • Integrable Systems: The Verdier Memorial Conference Actes du Colloque International de Luminy
    Preț: 38449 lei
  • Holomorphic Curves in Symplectic Geometry
    Preț: 39052 lei
  • 15% Lectures on the Geometry of Poisson Manifolds
    Preț: 68511 lei
  • First European Congress of Mathematics Paris, July 6–10, 1992: Vol. I Invited Lectures (Part 1)
    Preț: 41691 lei
  • Algebra and Geometry
    Preț: 37808 lei
  • 18% First European Congress of Mathematics Paris, July 6–10, 1992: Vol. II: Invited Lectures (Part 2)
    Preț: 88436 lei
  • 18% First European Congress of Mathematics: Paris, July 6–10, 1992 Round Tables
    Preț: 78604 lei
  • 15% Moment Maps and Combinatorial Invariants of Hamiltonian Tn-spaces
    Preț: 62711 lei
  • 18% Lie Theory and Geometry: In Honor of Bertram Kostant
    Preț: 110692 lei
  • 15% Symplectic Geometry: An Introduction based on the Seminar in Bern, 1992
    Preț: 48406 lei

Preț: 69201 lei

Preț vechi: 81414 lei
-15% Nou

Puncte Express: 1038
Preț estimativ în valută:
13242€ • 13984$ • 11020£

Carte tipărită la comandă

Livrare economică 13-27 ianuarie 25

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783764366193
ISBN-10: 3764366192
Pagini: 360
Ilustrații: XIV, 342 p.
Dimensiuni: 155 x 235 x 25 mm
Greutate: 0.68 kg
Ediția:2004
Editura: Birkhäuser Basel
Colecția Birkhäuser
Seria Progress in Mathematics

Locul publicării:Basel, Switzerland

Public țintă

Research

Cuprins

1 Total Variation Based Image Restoration.- 1.1 Introduction.- 1.2 Equivalence between Constrained and Unconstrained Restoration.- 1.3 The Partial Differential Equation Satisfied by the Minimum of (1.17).- 1.4 Algorithm and Numerical Experiments.- 1.5 Review of Numerical Methods.- 2 The Neumann Problem for the Total Variation Flow.- 2.1 Introduction.- 2.2 Strong Solutions in L2(?).- 2.3 The Semigroup Solution in L1(?).- 2.4 Existence and Uniqueness of Weak Solutions.- 2.5 An LN-L? Regularizing Effect.- 2.6 Asymptotic Behaviour of Solutions.- 2.7 Regularity of the Level Lines.- 3 The Total Variation Flow in ?N.- 3.1 Initial Conditions in L2(?N).- 3.2 The Notion of Entropy Solution.- 3.3 Uniqueness in Ló(?N).- 3.4 Existence in Lloc1.- 3.5 Initial Conditions in L2(?N).- 3.6 Time Regularity.- 3.7 An LN-L? Regularizing Effect.- 3.8 Measure Initial Conditions.- 4 Asymptotic Behaviour and Qualitative Properties of Solutions.- 4.1 Radially Symmetric Explicit Solutions.- 4.2 Some Qualitative Properties.- 4.3 Asymptotic Behaviour.- 4.4 Evolution of Sets in ?2: The Connected Case.- 4.5 Evolution of Sets in ?2: The Nonconnected Case.- 4.6 Some Examples.- 4.7 Explicit Solutions for the Denoising Problem.- 5 The Dirichlet Problem for the Total Variation Flow.- 5.1 Introduction.- 5.2 Definitions and Preliminary Facts.- 5.3 The Main Result.- 5.4 The Semigroup Solution.- 5.5 Strong Solutions for Data in L2(?).- 5.6 Existence and Uniqueness for Data in L1(?).- 5.7 Regularity for Positive Initial Data.- 6 Parabolic Equations Minimizing Linear Growth Functionals: L2-Theory.- 6.1 Introduction.- 6.2 Preliminaries.- 6.3 The Existence and Uniqueness Result.- 6.4 Strong Solution for Data in L2(?)).- 6.5 Asymptotic Behaviour.- 6.6 Proof of the Approximation Lemma.- 7Parabolic Equations Minimizing Linear Growth Functionals: L1-Theory.- 7.1 Introduction.- 7.2 The Main Result.- 7.3 The Semigroup Solution.- 7.4 Existence and Uniqueness for Data in L1(?).- 7.5 A Remark for Strictly Convex Lagrangians.- 7.6 The Cauchy Problem.- A Nonlinear Semigroups.- A.1 Introduction.- A.2 Abstract Cauchy Problem.- A.3 Mild Solutions.- A.4 Accretive Operators.- A.5 Existence and Uniqueness Theorem.- A.6 Regularity of Mild Solutions.- A.7 Completely Accretive Operators.- B Functions of Bounded Variation.- B.2 Approximation by Smooth Functions.- B.3 Traces and Extensions.- B.4 Sets of Finite Perimeter and the Coarea Formula.- B.5 Some Isoperimetric Inequalities.- B.6 The Reduced Boundary.- B.7 Connected Components of Sets of Finite Perimeter.- C Pairings Between Measures and Bounded Functions.- C.1 Trace of the Normal Component of Certain Vector Fields.- Dankwoord/ Acknowledgements.

Recenzii

"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."
—Mathematical Reviews
"This book is devoted to PDE's of elliptic and parabolic type associated to functionals having a linear growth in the gradient, with a special emphasis on the applications related to image restoration and nonlinear filters.... The book is written with great care, paying also a lot of attention to the bibliographical and historical notes. It is a recommended reading for all researchers interested in this field."
—Zentralblatt Math
"The goal of this mongraph is to present general existence and uniqueness results for quasilinear parabolic equations whose operator is the subdifferential of a convex Lagrangian which has linear growth. Special emphasis is given to the case of the minimizing total variational flow for which the Neumann, Dirichlet, and Cauchy problem are discussed. The developed techniques apply to problems in continuum mechanics, image restoration and faceted crystal growth."
---Monatshefte für Mathematik

Caracteristici

Covers with great detail the mathematical developments in total variation based image restauration Contains a full analysis of quasilinear parabolic equations whose operator is in divergence form, being the subdifferential of a convex function of the modulus of the gradient