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Mathematics of shape description [[electronic resource] ] : a morphological approach to image processing and computer graphics / / Pijush K. Ghosh, Koichiro Deguchi
| Mathematics of shape description [[electronic resource] ] : a morphological approach to image processing and computer graphics / / Pijush K. Ghosh, Koichiro Deguchi |
| Autore | Ghosh Pijush K |
| Pubbl/distr/stampa | Singapore ; ; Hoboken, NJ, : Wiley, c2008 |
| Descrizione fisica | 1 online resource (272 p.) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | DeguchiKoichiro |
| Soggetto topico |
Geometry, Algebraic
Minkowski geometry Image processing - Mathematical models |
| ISBN |
1-282-03141-4
9786612031410 0-470-82309-7 0-470-82308-9 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
MATHEMATICS OF SHAPE DESCRIPTION; Contents; Foreword; Preface; 1 In Search of a Framework for Shape Description; 1.1 Shape Description: What It Means to Us; 1.2 Pure versus Pragmatic Approaches; 1.3 The In.uence of the Digital Computer on Our Approach to Shape Description; 1.4 A Metamodel for Shape Description; 1.4.1 A Mathematical Model for Shape Description and Associated Problems; 1.4.2 The Need for a Metamodel; 1.4.3 Reformulating the Metamodel to Adapt to the Pragmatic Approach; 1.5 The Metamodel within the Framework of Formal Language
1.5.1 An Introduction to Formal Languages and Grammars1.5.2 A Grammar for the Constructive Part of the Metamodel; 1.5.3 An Exploration of Shape Description Schemes in Terms of Formal Language Theory; 1.6 The Art of Model Making; 1.6.1 What is the Meaning of "Model"?; 1.6.2 A Few Guiding Principles; 1.7 Shape Description Schematics and the Tools of Mathematics; 1.7.1 Underlying Assumptions when Mapping from the Real World to a Mathematical System; 1.7.2 Fundamental Mathematical Structures and Their Various Compositions; 2 Sets and Functions for Shape Description; 2.1 Basic Concepts of Sets 2.1.1 De.nition of Sets2.1.2 Membership; 2.1.3 Speci.cations for a Set to Describe Shapes; 2.1.4 Special Sets; 2.2 Equality and Inclusion of Sets; 2.3 Some Operations on Sets; 2.3.1 The Power Set; 2.3.2 Set Union; 2.3.3 Set Intersection; 2.3.4 Set Difference; 2.3.5 Set Complement; 2.3.6 Symmetric Difference; 2.3.7 Venn Diagrams; 2.3.8 Cartesian Products; 2.4 Relations in Sets; 2.4.1 Fundamental Concepts; 2.4.2 The Properties of Binary Relations in a Set; 2.4.3 Equivalence Relations and Partitions; 2.4.4 Order Relations; 2.5 Functions, Mappings, and Operations; 2.5.1 Fundamental Concepts 2.5.2 The Graphical Representations of a Function2.5.3 The Range of a Function, and Various Categories of Function; 2.5.4 Composition of Functions; 2.5.5 The Inverse Function; 2.5.6 The One-to-One Onto Function and Set Isomorphism; 2.5.7 Equivalence Relations and Functions; 2.5.8 Functions of Many Variables, n-ary Operations; 2.5.9 A Special Type of Function: The Analytic Function; 3 Algebraic Structures for Shape Description; 3.1 What is an Algebraic Structure?; 3.1.1 Algebraic Systems with Internal Composition Laws; 3.1.2 Algebraic Systems with External Composition Laws 3.2 Properties of Algebraic Systems3.2.1 Associativity; 3.2.2 Commutativity; 3.2.3 Distributivity; 3.2.4 The Existence of the Identity/Unit Element; 3.2.5 The Existence of an Inverse Element; 3.3 Morphisms of Algebraic Systems; 3.4 Semigroups and Monoids: Two Simple Algebraic Systems; 3.5 Groups; 3.5.1 Fundamentals; 3.5.2 The Advantages of Identifying a System as a Group; 3.5.3 Transformation Groups; 3.6 Symmetry Groups; 3.6.1 The Action of a Group on a Set; 3.6.2 Translations and the Euclidean Group; 3.6.3 The Matrix Group; 3.7 Proper Rotations of Regular Solids 3.7.1 The Symmetry Groups of the Regular Solids |
| Record Nr. | UNINA-9910145959803321 |
Ghosh Pijush K
|
||
| Singapore ; ; Hoboken, NJ, : Wiley, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mathematics of shape description [[electronic resource] ] : a morphological approach to image processing and computer graphics / / Pijush K. Ghosh, Koichiro Deguchi
| Mathematics of shape description [[electronic resource] ] : a morphological approach to image processing and computer graphics / / Pijush K. Ghosh, Koichiro Deguchi |
| Autore | Ghosh Pijush K |
| Pubbl/distr/stampa | Singapore ; ; Hoboken, NJ, : Wiley, c2008 |
| Descrizione fisica | 1 online resource (272 p.) |
| Disciplina | 516.3/5 |
| Altri autori (Persone) | DeguchiKoichiro |
| Soggetto topico |
Geometry, Algebraic
Minkowski geometry Image processing - Mathematical models |
| ISBN |
1-282-03141-4
9786612031410 0-470-82309-7 0-470-82308-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
MATHEMATICS OF SHAPE DESCRIPTION; Contents; Foreword; Preface; 1 In Search of a Framework for Shape Description; 1.1 Shape Description: What It Means to Us; 1.2 Pure versus Pragmatic Approaches; 1.3 The In.uence of the Digital Computer on Our Approach to Shape Description; 1.4 A Metamodel for Shape Description; 1.4.1 A Mathematical Model for Shape Description and Associated Problems; 1.4.2 The Need for a Metamodel; 1.4.3 Reformulating the Metamodel to Adapt to the Pragmatic Approach; 1.5 The Metamodel within the Framework of Formal Language
1.5.1 An Introduction to Formal Languages and Grammars1.5.2 A Grammar for the Constructive Part of the Metamodel; 1.5.3 An Exploration of Shape Description Schemes in Terms of Formal Language Theory; 1.6 The Art of Model Making; 1.6.1 What is the Meaning of "Model"?; 1.6.2 A Few Guiding Principles; 1.7 Shape Description Schematics and the Tools of Mathematics; 1.7.1 Underlying Assumptions when Mapping from the Real World to a Mathematical System; 1.7.2 Fundamental Mathematical Structures and Their Various Compositions; 2 Sets and Functions for Shape Description; 2.1 Basic Concepts of Sets 2.1.1 De.nition of Sets2.1.2 Membership; 2.1.3 Speci.cations for a Set to Describe Shapes; 2.1.4 Special Sets; 2.2 Equality and Inclusion of Sets; 2.3 Some Operations on Sets; 2.3.1 The Power Set; 2.3.2 Set Union; 2.3.3 Set Intersection; 2.3.4 Set Difference; 2.3.5 Set Complement; 2.3.6 Symmetric Difference; 2.3.7 Venn Diagrams; 2.3.8 Cartesian Products; 2.4 Relations in Sets; 2.4.1 Fundamental Concepts; 2.4.2 The Properties of Binary Relations in a Set; 2.4.3 Equivalence Relations and Partitions; 2.4.4 Order Relations; 2.5 Functions, Mappings, and Operations; 2.5.1 Fundamental Concepts 2.5.2 The Graphical Representations of a Function2.5.3 The Range of a Function, and Various Categories of Function; 2.5.4 Composition of Functions; 2.5.5 The Inverse Function; 2.5.6 The One-to-One Onto Function and Set Isomorphism; 2.5.7 Equivalence Relations and Functions; 2.5.8 Functions of Many Variables, n-ary Operations; 2.5.9 A Special Type of Function: The Analytic Function; 3 Algebraic Structures for Shape Description; 3.1 What is an Algebraic Structure?; 3.1.1 Algebraic Systems with Internal Composition Laws; 3.1.2 Algebraic Systems with External Composition Laws 3.2 Properties of Algebraic Systems3.2.1 Associativity; 3.2.2 Commutativity; 3.2.3 Distributivity; 3.2.4 The Existence of the Identity/Unit Element; 3.2.5 The Existence of an Inverse Element; 3.3 Morphisms of Algebraic Systems; 3.4 Semigroups and Monoids: Two Simple Algebraic Systems; 3.5 Groups; 3.5.1 Fundamentals; 3.5.2 The Advantages of Identifying a System as a Group; 3.5.3 Transformation Groups; 3.6 Symmetry Groups; 3.6.1 The Action of a Group on a Set; 3.6.2 Translations and the Euclidean Group; 3.6.3 The Matrix Group; 3.7 Proper Rotations of Regular Solids 3.7.1 The Symmetry Groups of the Regular Solids |
| Record Nr. | UNINA-9910825787703321 |
|
Ghosh Pijush K
|
||
| Singapore ; ; Hoboken, NJ, : Wiley, c2008 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Variational methods in imaging and geometric control / / edited by Maitine Bergounioux [and four others]
| Variational methods in imaging and geometric control / / edited by Maitine Bergounioux [and four others] |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, KG, , [2017] |
| Descrizione fisica | 1 online resource (538 pages) : illustrations (some color) |
| Disciplina | 006.601/51564 |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Image processing - Mathematical models
Image analysis - Mathematical models |
| Soggetto genere / forma | Electronic books. |
| ISBN |
3-11-043049-5
3-11-043039-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Part I -- 1. Second-order decomposition model for image processing: numerical experimentation / Bergounioux, Maïtine -- 2. Optimizing spatial and tonal data for PDE-based inpainting / Hoeltgen, Laurent / Mainberger, Markus / Hoffmann, Sebastian / Weickert, Joachim / Hoo Tang, Ching / Setzer, Simon / Johannsen, Daniel / Neumann, Frank / Doerr, Benjamin -- 3. Image registration using phase-amplitude separation / Xie, Qian / Srivastava, Anuj -- 4. Rotation invariance in exemplar-based image inpainting / Eller, Martin / Fornasier, Massimo -- 5. Convective regularization for optical flow / Iglesias, José A. / Kirisits, Clemens -- 6. A variational method for quantitative photoacoustic tomography with piecewise constant coefficients / Beretta, Elena / Muszkieta, Monika / Naetar, Wolf / Scherzer, Otmar -- 7. On optical flow models for variational motion estimation / Burger, Martin / Dirks, Hendrik / Frerking, Lena -- 8. Bilevel approaches for learning of variational imaging models / Calatroni, Luca / Cao, Chung / Carlos De los Reyes, Juan / Schönlieb, Carola-Bibiane / Valkonen, Tuomo -- Part II -- 9. Non-degenerate forms of the generalized Euler-Lagrange condition for state-constrained optimal control problems / Bettiol, Piernicola / Khalil, Nathalie -- 10 The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls / Bettiol, Piernicola / Bonnard, Bernard / Giraldi, Laetitia / Martinon, Pierre / Rouot, Jérémy -- 11. Controllability of Keplerian motion with low-thrust control systems / Chen, Zheng / Chitour, Yacine -- 12. Higher variational equation techniques for the integrability of homogeneous potentials / Combot, Thierry -- 13. Introduction to KAM theory with a view to celestial mechanics / Féjoz, Jacques -- 14. Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry / Grochowski, Marek / Kryński, Wojciech -- 15. Time-optimal control for a perturbed Brockett integrator / Lohéac, Jérôme / Scheid, Jean-François -- 16. Twist maps and Arnold diffusion for diffeomorphisms / Marco, Jean-Pierre -- 17. A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I / Stefani, Gianna / Zezza, Pierluigi -- Index |
| Record Nr. | UNINA-9910163969503321 |
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, KG, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Variational methods in imaging and geometric control / / edited by Maitine Bergounioux [and four others]
| Variational methods in imaging and geometric control / / edited by Maitine Bergounioux [and four others] |
| Pubbl/distr/stampa | Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, KG, , [2017] |
| Descrizione fisica | 1 online resource (538 pages) : illustrations (some color) |
| Disciplina | 006.601/51564 |
| Collana | Radon series on computational and applied mathematics |
| Soggetto topico |
Image processing - Mathematical models
Image analysis - Mathematical models |
| ISBN |
3-11-043049-5
3-11-043039-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Contents -- Part I -- 1. Second-order decomposition model for image processing: numerical experimentation / Bergounioux, Maïtine -- 2. Optimizing spatial and tonal data for PDE-based inpainting / Hoeltgen, Laurent / Mainberger, Markus / Hoffmann, Sebastian / Weickert, Joachim / Hoo Tang, Ching / Setzer, Simon / Johannsen, Daniel / Neumann, Frank / Doerr, Benjamin -- 3. Image registration using phase-amplitude separation / Xie, Qian / Srivastava, Anuj -- 4. Rotation invariance in exemplar-based image inpainting / Eller, Martin / Fornasier, Massimo -- 5. Convective regularization for optical flow / Iglesias, José A. / Kirisits, Clemens -- 6. A variational method for quantitative photoacoustic tomography with piecewise constant coefficients / Beretta, Elena / Muszkieta, Monika / Naetar, Wolf / Scherzer, Otmar -- 7. On optical flow models for variational motion estimation / Burger, Martin / Dirks, Hendrik / Frerking, Lena -- 8. Bilevel approaches for learning of variational imaging models / Calatroni, Luca / Cao, Chung / Carlos De los Reyes, Juan / Schönlieb, Carola-Bibiane / Valkonen, Tuomo -- Part II -- 9. Non-degenerate forms of the generalized Euler-Lagrange condition for state-constrained optimal control problems / Bettiol, Piernicola / Khalil, Nathalie -- 10 The Purcell three-link swimmer: some geometric and numerical aspects related to periodic optimal controls / Bettiol, Piernicola / Bonnard, Bernard / Giraldi, Laetitia / Martinon, Pierre / Rouot, Jérémy -- 11. Controllability of Keplerian motion with low-thrust control systems / Chen, Zheng / Chitour, Yacine -- 12. Higher variational equation techniques for the integrability of homogeneous potentials / Combot, Thierry -- 13. Introduction to KAM theory with a view to celestial mechanics / Féjoz, Jacques -- 14. Invariants of contact sub-pseudo-Riemannian structures and Einstein-Weyl geometry / Grochowski, Marek / Kryński, Wojciech -- 15. Time-optimal control for a perturbed Brockett integrator / Lohéac, Jérôme / Scheid, Jean-François -- 16. Twist maps and Arnold diffusion for diffeomorphisms / Marco, Jean-Pierre -- 17. A Hamiltonian approach to sufficiency in optimal control with minimal regularity conditions: Part I / Stefani, Gianna / Zezza, Pierluigi -- Index |
| Record Nr. | UNINA-9910528115203321 |
| Berlin ; ; Boston : , : Walter de Gruyter GmbH & Company, KG, , [2017] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
