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Fourier transforms : principles and applications / / Eric W. Hansen
| Fourier transforms : principles and applications / / Eric W. Hansen |
| Autore | Hansen Eric W (Eric William), <1954-> |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (774 p.) |
| Disciplina | 515/.723 |
| Soggetto topico |
Signal processing - Mathematical models
Image processing - Mathematical models Fourier analysis |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-118-90169-X |
| Classificazione | MAT003000 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
FOURIER TRANSFORMS; Contents; Preface; Philosophy and Distinctives; Flow of the Book; Suggested Use; Acknowledgments; 1 Review of Prerequisite Mathematics; 1.1 Common notation; 1.2 Vectors in space; 1.3 Complex numbers; 1.4 Matrix algebra; 1.5 Mappings and functions; 1.6 Sinusoidal functions; 1.7 Complex exponentials; 1.8 Geometric series; 1.9 Results from calculus; 1.10 Top 10 ways to avoid errors in calculations; Problems; 2 Vector Spaces; 2.1 Signals and vector spaces; 2.2 Finite-dimensional vector spaces; 2.2.1 Norms and Metrics; 2.2.2 Inner Products
2.2.3 Orthogonal Expansion and Approximation2.3 Infinite-dimensional vector spaces; 2.3.1 Convergent Sequences; 2.3.3 Functions and the Lp Spaces; 2.4 Operators; 2.5 Creating orthonormal bases-the Gram-Schmidt process; 2.6 Summary; Problems; 3 The Discrete Fourier Transform; 3.1 Sinusoidal sequences; 3.2 The Discrete Fourier transform; 3.3 Interpreting the DFT; 3.4 DFT properties and theorems; 3.5 Fast Fourier transform; 3.6 Discrete cosine transform; 3.7 Summary; Problems; 4 The Fourier Series; 4.1 Sinusoids and physical systems; 4.2 Definitions and interpretation 4.3 Convergence of the Fourier series4.4 Fourier series properties and theorems; 4.5 The heat equation; 4.6 The vibrating string; 4.7 Antenna arrays; 4.8 Computing the Fourier series; 4.9 Discrete time Fourier transform; 4.9.1 Convergence Properties; 4.9.2 Theorems; 4.9.3 Discrete-time Systems; 4.9.4 Computing the DTFT; 4.10 Summary; Problems; 5 The Fourier Transform; 5.1 From Fourier series to Fourier transform; 5.2 Basic properties and some examples; 5.3 Fourier transform theorems; 5.4 Interpreting the Fourier transform; 5.5 Convolution; 5.5.1 Definition and basic properties 5.5.2 Convolution and Linear Systems5.5.3 Correlation; 5.6 More about the Fourier transform; 5.6.1 Fourier inversion in L1; 5.6.2 Fourier Transform in L2; 5.6.3 More about convolution; 5.7 Time-bandwidth relationships; 5.8 Computing the Fourier transform; 5.9 Time-frequency transforms; 5.10 Summary; Problems; 6 Generalized Functions; 6.1 Impulsive signals and spectra; 6.2 The delta function in a nutshell; 6.3 Generalized functions; 6.3.1 Functions and Generalized Functions; 6.3.2 Generalized Functions as Sequences of Functions; 6.3.3 Calculus of Generalized Functions 6.4 Generalized Fourier transform6.4.1 Definition; 6.4.2 Fourier Theorems; 6.5 Sampling theory and Fourier series; 6.5.1 Fourier Series, Again; 6.5.2 Periodic Generalized Functions; 6.5.3 The Sampling Theorem; 6.5.4 Discrete-time Fourier Transform; 6.6 Unifying the Fourier family; 6.6.1 Basis Functions and Orthogonality Relationships; 6.6.2 Sampling and Replication; 6.7 Summary; Problems; 7 Complex Function Theory; 7.1 Complex functions and their visualization; 7.2 Differentiation; 7.3 Analytic functions; 7.4 exp z and functions derived from it; 7.5 log z and functions derived from it 7.5.1 The Logarithm Function |
| Record Nr. | UNINA-9910459967803321 |
Hansen Eric W (Eric William), <1954->
|
||
| Hoboken, New Jersey : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier transforms : principles and applications / / Eric W. Hansen
| Fourier transforms : principles and applications / / Eric W. Hansen |
| Autore | Hansen Eric W (Eric William), <1954-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (774 pages) : illustrations |
| Disciplina | 515/.723 |
| Soggetto topico |
Signal processing - Mathematical models
Image processing - Mathematical models Fourier analysis |
| ISBN |
1-118-90179-7
1-118-90169-X |
| Classificazione |
413.66
515/.723 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910796095703321 |
|
Hansen Eric W (Eric William), <1954->
|
||
| Hoboken, New Jersey : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Fourier transforms : principles and applications / / Eric W. Hansen
| Fourier transforms : principles and applications / / Eric W. Hansen |
| Autore | Hansen Eric W (Eric William), <1954-> |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (774 pages) : illustrations |
| Disciplina | 515/.723 |
| Soggetto topico |
Signal processing - Mathematical models
Image processing - Mathematical models Fourier analysis |
| ISBN |
1-118-90179-7
1-118-90169-X |
| Classificazione |
413.66
515/.723 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910813945103321 |
|
Hansen Eric W (Eric William), <1954->
|
||
| Hoboken, New Jersey : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Image processing and analysis : variational, PDE, wavelet, and stochastic methods / Tony F. Chan, Jianhong (Jackie) Shen
| Image processing and analysis : variational, PDE, wavelet, and stochastic methods / Tony F. Chan, Jianhong (Jackie) Shen |
| Autore | Chan, Tony F. |
| Pubbl/distr/stampa | Philadelphia : Society for Industrial and Applied Mathematics, c2005 |
| Descrizione fisica | xxi, 400 p. : ill. ; 26 cm |
| Disciplina | 621.367 |
| Altri autori (Persone) | Shen, Jianhong |
| Soggetto topico | Image processing - Mathematical models |
| ISBN | 089871589X |
| Classificazione |
AMS 68U10
AMS 94A08 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISALENTO-991002291349707536 |
|
Chan, Tony F.
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| Philadelphia : Society for Industrial and Applied Mathematics, c2005 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. del Salento | ||
| ||
Journal of mathematical imaging and vision
| Journal of mathematical imaging and vision |
| Pubbl/distr/stampa | Norwell, MA, : Kluwer Academic Publishers |
| Disciplina | 621.367 |
| Soggetto topico |
Image processing - Mathematical models
Vision - Mathematical models Computer vision - Mathematical models Traitement d'images - Modèles mathématiques Vision - Modèles mathématiques Vision par ordinateur - Modèles mathématiques |
| ISSN | 1573-7683 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNISA-996212599503316 |
| Norwell, MA, : Kluwer Academic Publishers | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Journal of mathematical imaging and vision
| Journal of mathematical imaging and vision |
| Pubbl/distr/stampa | Norwell, MA, : Kluwer Academic Publishers |
| Disciplina | 621.367 |
| Soggetto topico |
Image processing - Mathematical models
Vision - Mathematical models Computer vision - Mathematical models Traitement d'images - Modèles mathématiques Vision - Modèles mathématiques Vision par ordinateur - Modèles mathématiques |
| ISSN | 1573-7683 |
| Formato | Materiale a stampa |
| Livello bibliografico | Periodico |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910146896303321 |
| Norwell, MA, : Kluwer Academic Publishers | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematical foundations of image processing and analysis 2 / / Jean-Charles Pinoli ; series editor, Jean-Pierre Goure
| Mathematical foundations of image processing and analysis 2 / / Jean-Charles Pinoli ; series editor, Jean-Pierre Goure |
| Autore | Pinoli Jean-Charles |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2014 |
| Descrizione fisica | 1 online resource (492 p.) |
| Disciplina | 621.367015118 |
| Collana | Digital Signal and Image Processing Series |
| Soggetto topico |
Image processing - Mathematical models
Convolutions (Mathematics) Mathematics |
| ISBN |
1-118-98455-2
1-118-98457-9 1-118-98456-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright; Contents; Preface; Introduction; PART 5: Twelve Main Geometrical Frameworks for Binary Images; Chapter 21: The Set-Theoretic Framework; 21.1. Paradigms; 21.2. Mathematical concepts and structures; 21.2.1. Mathematical disciplines; 21.3. Main notions and approaches for IPA; 21.3.1. Pixels and objects; 21.3.2. Pixel and object separation; 21.3.3. Local finiteness; 21.3.4. Set transformations; 21.4. Main applications for IPA; 21.4.1. Object partition and object components; 21.4.2. Set-theoretic separation of objects and object removal
21.4.3. Counting of separate objects21.4.4. Spatial supports border effects; 21.5. Additional comments; Historical comments and references; Bibliographic notes and additional readings; Further topics and readings; Some references on applications to IPA; Chapter 22: The Topological Framework; 22.1. Paradigms; 22.2. Mathematical concepts and structures; 22.2.1. Mathematical disciplines; 22.2.2. Special classes of subsets of Rn; 22.2.3. Fell topology for closed subsets; 22.2.4. Hausdorff topology for compact subsets; 22.2.5. Continuity and semi-continuity of set transformations 22.2.6. Continuity of basic set-theoretic and topological operations22.3. Main notions and approaches for IPA; 22.3.1. Topologies in the spatial domain Rn; 22.3.2. The Lebesgue-(Čech) dimension; 22.3.3. Interior and exterior boundaries; 22.3.3.1. Topologically regular objects; 22.3.4. Path-connectedness; 22.3.5. Homeomorphic objects; 22.4. Main applications to IPA; 22.4.1. Topological separation of objects and object removal; 22.4.1.1. (Path)-connected components; 22.4.2. Counting of separate objects; 22.4.3. Contours of objects; 22.4.4. Metric diameter; 22.4.5. Skeletons of proper objects 22.4.6. Dirichlet-Voronoi's diagrams22.4.7. Distance maps; 22.4.8. Distance between objects; 22.4.9. Spatial support's border effects; 22.5. Additional comments; Historical comments and references; Bibliographic notes and additional readings; Further topics and readings; Some references on applications to IPA; Chapter 23: The Euclidean Geometric Framework; 23.1. Paradigms; 23.2. Mathematical concepts and structures; 23.2.1. Mathematical disciplines; 23.2.2. Euclidean dimension; 23.2.3. Matrices; 23.2.4. Determinants; 23.2.5. Eigenvalues, eigenvectors and trace of a matrix 23.2.6. Matrix norms23.3. Main notions and approaches for IPA; 23.3.1. Affine transformations; 23.3.2. Special groups of affine transformations; 23.3.3. Linear and affine sub-spaces and Grassmannians; 23.3.4. Linear and affine spans; 23.4. Main applications to IPA; 23.4.1. Basic spatial transformations; 23.4.1.1. Reflected objects; 23.4.2. Hyperplanes; 23.4.3. Polytopes; 23.4.4. Minkowski addition and subtraction; 23.4.5. Continuity and semi-continuities of Euclidean transformations; 23.5. Additional comments; Historical comments and references; Commented bibliography and additional readings Further topics and readings |
| Record Nr. | UNINA-9910132183803321 |
|
Pinoli Jean-Charles
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||
| London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and computation in imaging science and information processing [[electronic resource] /] / editors Say Song Goh, Amos Ron, Zuowei Shen
| Mathematics and computation in imaging science and information processing [[electronic resource] /] / editors Say Song Goh, Amos Ron, Zuowei Shen |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina | 621.36/7 |
| Altri autori (Persone) |
GohSay Song
RonʻAmos ShenZuowei |
| Collana | Lecture notes series, Institute for Mathematical Sciences, National University of Singapore |
| Soggetto topico |
Image processing - Mathematical models
Image processing - Data processing Electronic data processing - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91870-9
9786611918705 981-270-906-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Foreword; Preface; Subdivision on Arbitrary Meshes: Algorithms and Theory Denis Zorin; 1. Introduction; 1.1. Subdivision in computer graphics and geometric modeling; 2. Basics; 2.1. Subdivision curves; 2.2. Subdivision surfaces; 3. Overview of Subdivision Schemes; 3.1. Classification of subdivision schemes; 3.2. Loop scheme; 3.3. Catmull-Clark scheme; 4. Modified Buttery Scheme; 4.1. Doo-Sabin scheme; 4.2. Midedge scheme and other non-integer arity schemes; 4.3. Comparison; 5. Smoothness of Subdivision Surfaces; 5.1. Cr-continuity and tangent plane continuity
5.2. Universal surfaces5.3. Sufficient smoothness criteria; 6. Approximation Properties of Subdivision Surfaces; 6.1. Functional spaces on surfaces; 6.2. Manifold structure defined by subdivision; 7. Conclusions; References; High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations Chi-Wang Shu; 1. Introduction and Properties of Hamilton-Jacobi Equations; 2. First Order Monotone Schemes; 2.1. Monotone schemes on structured rectangular meshes; 2.2. Monotone schemes on unstructured meshes; 3. High Order ENO and WENO Schemes on Structured Rectangular Meshes 3.1. High order ENO schemes3.2. High order WENO schemes; 4. High Order WENO Schemes on Unstructured Meshes; 5. High Order Discontinuous Galerkin Schemes on Unstructured Meshes; 6. High Order Strong Stability Preserving Runge-Kutta Time Discretizations; 7. A Few Numerical Examples; 8. Concluding Remarks; References; Theory and Computation of Variational Image Deblurring Tony F. Chan and Jianhong Shen; 1. Mathematical Models of Blurs; 1.1. Linear blurs; 1.2. The DC-condition; 1.3. Nonlinear blurs; 2. Illposedness of Deblurring; 3. Tikhonov and Bayesian Regularization 4. Optimal Wiener Filtering for Non-Blind Deblurring4.1. 2-D stochastic spatial signals; 4.2. Stochastic signals as random generalized functions; 4.3. Filtering-based deblurring; 4.4. Optimal Wiener ltering; 4.5. Connection to the Bayesian/Tikhonov method; 5. Deblurring Blurred BV Images; 5.1. TV deblurring by Rudin, Osher, and Fatemi; 5.2. Dealing with bounded image domains; 5.3. Existence and uniqueness; 5.4. Computation and examples; 6. Parametric Blind Deblurring; 6.1. Parametric modeling; 6.2. The AM algorithm; 7. Non-Parametric Blind Deblurring: Double-BV Model 7.1. General formulation of blind deblurring7.2. Double-BV blind deblurring model of Chan and Wong; 7.3. On the uniqueness: Hidden symmetries; 7.4. The existence theorem; 8. Deblurring Besov Images via Iterated Shrinkage; 8.1. Wavelets and Besov images; 8.2. Besov image deblurring via iterated shrinkage; 8.3. Understanding the iterated-shrinkage algorithm; 8.3.1. As semi-implicit time marching; 8.3.2. Via augmentation and auxiliary variables; 9. Further Reading; Acknowledgements; References; Data Hiding - Theory and Algorithms Pierre Moulin and Ralf Koetter; 1. Introduction 2. Model for Data Hiding |
| Record Nr. | UNINA-9910451061703321 |
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and computation in imaging science and information processing [[electronic resource] /] / editors Say Song Goh, Amos Ron, Zuowei Shen
| Mathematics and computation in imaging science and information processing [[electronic resource] /] / editors Say Song Goh, Amos Ron, Zuowei Shen |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina | 621.36/7 |
| Altri autori (Persone) |
GohSay Song
RonʻAmos ShenZuowei |
| Collana | Lecture notes series, Institute for Mathematical Sciences, National University of Singapore |
| Soggetto topico |
Image processing - Mathematical models
Image processing - Data processing Electronic data processing - Mathematical models |
| ISBN |
1-281-91870-9
9786611918705 981-270-906-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Foreword; Preface; Subdivision on Arbitrary Meshes: Algorithms and Theory Denis Zorin; 1. Introduction; 1.1. Subdivision in computer graphics and geometric modeling; 2. Basics; 2.1. Subdivision curves; 2.2. Subdivision surfaces; 3. Overview of Subdivision Schemes; 3.1. Classification of subdivision schemes; 3.2. Loop scheme; 3.3. Catmull-Clark scheme; 4. Modified Buttery Scheme; 4.1. Doo-Sabin scheme; 4.2. Midedge scheme and other non-integer arity schemes; 4.3. Comparison; 5. Smoothness of Subdivision Surfaces; 5.1. Cr-continuity and tangent plane continuity
5.2. Universal surfaces5.3. Sufficient smoothness criteria; 6. Approximation Properties of Subdivision Surfaces; 6.1. Functional spaces on surfaces; 6.2. Manifold structure defined by subdivision; 7. Conclusions; References; High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations Chi-Wang Shu; 1. Introduction and Properties of Hamilton-Jacobi Equations; 2. First Order Monotone Schemes; 2.1. Monotone schemes on structured rectangular meshes; 2.2. Monotone schemes on unstructured meshes; 3. High Order ENO and WENO Schemes on Structured Rectangular Meshes 3.1. High order ENO schemes3.2. High order WENO schemes; 4. High Order WENO Schemes on Unstructured Meshes; 5. High Order Discontinuous Galerkin Schemes on Unstructured Meshes; 6. High Order Strong Stability Preserving Runge-Kutta Time Discretizations; 7. A Few Numerical Examples; 8. Concluding Remarks; References; Theory and Computation of Variational Image Deblurring Tony F. Chan and Jianhong Shen; 1. Mathematical Models of Blurs; 1.1. Linear blurs; 1.2. The DC-condition; 1.3. Nonlinear blurs; 2. Illposedness of Deblurring; 3. Tikhonov and Bayesian Regularization 4. Optimal Wiener Filtering for Non-Blind Deblurring4.1. 2-D stochastic spatial signals; 4.2. Stochastic signals as random generalized functions; 4.3. Filtering-based deblurring; 4.4. Optimal Wiener ltering; 4.5. Connection to the Bayesian/Tikhonov method; 5. Deblurring Blurred BV Images; 5.1. TV deblurring by Rudin, Osher, and Fatemi; 5.2. Dealing with bounded image domains; 5.3. Existence and uniqueness; 5.4. Computation and examples; 6. Parametric Blind Deblurring; 6.1. Parametric modeling; 6.2. The AM algorithm; 7. Non-Parametric Blind Deblurring: Double-BV Model 7.1. General formulation of blind deblurring7.2. Double-BV blind deblurring model of Chan and Wong; 7.3. On the uniqueness: Hidden symmetries; 7.4. The existence theorem; 8. Deblurring Besov Images via Iterated Shrinkage; 8.1. Wavelets and Besov images; 8.2. Besov image deblurring via iterated shrinkage; 8.3. Understanding the iterated-shrinkage algorithm; 8.3.1. As semi-implicit time marching; 8.3.2. Via augmentation and auxiliary variables; 9. Further Reading; Acknowledgements; References; Data Hiding - Theory and Algorithms Pierre Moulin and Ralf Koetter; 1. Introduction 2. Model for Data Hiding |
| Record Nr. | UNINA-9910784848503321 |
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics and computation in imaging science and information processing [[electronic resource] /] / editors Say Song Goh, Amos Ron, Zuowei Shen
| Mathematics and computation in imaging science and information processing [[electronic resource] /] / editors Say Song Goh, Amos Ron, Zuowei Shen |
| Edizione | [1st ed.] |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (276 p.) |
| Disciplina | 621.36/7 |
| Altri autori (Persone) |
GohSay Song
RonʻAmos ShenZuowei |
| Collana | Lecture notes series, Institute for Mathematical Sciences, National University of Singapore |
| Soggetto topico |
Image processing - Mathematical models
Image processing - Data processing Electronic data processing - Mathematical models |
| ISBN |
1-281-91870-9
9786611918705 981-270-906-1 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
CONTENTS; Foreword; Preface; Subdivision on Arbitrary Meshes: Algorithms and Theory Denis Zorin; 1. Introduction; 1.1. Subdivision in computer graphics and geometric modeling; 2. Basics; 2.1. Subdivision curves; 2.2. Subdivision surfaces; 3. Overview of Subdivision Schemes; 3.1. Classification of subdivision schemes; 3.2. Loop scheme; 3.3. Catmull-Clark scheme; 4. Modified Buttery Scheme; 4.1. Doo-Sabin scheme; 4.2. Midedge scheme and other non-integer arity schemes; 4.3. Comparison; 5. Smoothness of Subdivision Surfaces; 5.1. Cr-continuity and tangent plane continuity
5.2. Universal surfaces5.3. Sufficient smoothness criteria; 6. Approximation Properties of Subdivision Surfaces; 6.1. Functional spaces on surfaces; 6.2. Manifold structure defined by subdivision; 7. Conclusions; References; High Order Numerical Methods for Time Dependent Hamilton-Jacobi Equations Chi-Wang Shu; 1. Introduction and Properties of Hamilton-Jacobi Equations; 2. First Order Monotone Schemes; 2.1. Monotone schemes on structured rectangular meshes; 2.2. Monotone schemes on unstructured meshes; 3. High Order ENO and WENO Schemes on Structured Rectangular Meshes 3.1. High order ENO schemes3.2. High order WENO schemes; 4. High Order WENO Schemes on Unstructured Meshes; 5. High Order Discontinuous Galerkin Schemes on Unstructured Meshes; 6. High Order Strong Stability Preserving Runge-Kutta Time Discretizations; 7. A Few Numerical Examples; 8. Concluding Remarks; References; Theory and Computation of Variational Image Deblurring Tony F. Chan and Jianhong Shen; 1. Mathematical Models of Blurs; 1.1. Linear blurs; 1.2. The DC-condition; 1.3. Nonlinear blurs; 2. Illposedness of Deblurring; 3. Tikhonov and Bayesian Regularization 4. Optimal Wiener Filtering for Non-Blind Deblurring4.1. 2-D stochastic spatial signals; 4.2. Stochastic signals as random generalized functions; 4.3. Filtering-based deblurring; 4.4. Optimal Wiener ltering; 4.5. Connection to the Bayesian/Tikhonov method; 5. Deblurring Blurred BV Images; 5.1. TV deblurring by Rudin, Osher, and Fatemi; 5.2. Dealing with bounded image domains; 5.3. Existence and uniqueness; 5.4. Computation and examples; 6. Parametric Blind Deblurring; 6.1. Parametric modeling; 6.2. The AM algorithm; 7. Non-Parametric Blind Deblurring: Double-BV Model 7.1. General formulation of blind deblurring7.2. Double-BV blind deblurring model of Chan and Wong; 7.3. On the uniqueness: Hidden symmetries; 7.4. The existence theorem; 8. Deblurring Besov Images via Iterated Shrinkage; 8.1. Wavelets and Besov images; 8.2. Besov image deblurring via iterated shrinkage; 8.3. Understanding the iterated-shrinkage algorithm; 8.3.1. As semi-implicit time marching; 8.3.2. Via augmentation and auxiliary variables; 9. Further Reading; Acknowledgements; References; Data Hiding - Theory and Algorithms Pierre Moulin and Ralf Koetter; 1. Introduction 2. Model for Data Hiding |
| Record Nr. | UNINA-9910818002703321 |
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
