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Mathematical foundations of image processing and analysis 1 / / Jean-Charles Pinoli
Mathematical foundations of image processing and analysis 1 / / Jean-Charles Pinoli
Autore Pinoli Jean-Charles
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Descrizione fisica 1 online resource (456 p.)
Disciplina 621.367
Collana Digital Signal and Image Processing Series
Soggetto topico Image processing - Digital techniques
Pattern recognition systems - Data processing
Image analysis - Data processing
ISBN 1-118-62570-6
1-118-64911-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title Page; Copyright; Contents; Preface; Introduction; Elements of Mathematical Terminology; Part 1. An Overview of Image Processing and Analysis (IPA); Chapter 1. Gray-Tone Images; 1.1. Intensity images, pixels and gray tones; 1.2. Scene, objects, context, foreground and background; 1.3. Simple intensity image formation process models; 1.3.1. The multiplicative image formation process model; 1.3.2. The main human brightness perception laws; 1.4. The five main requirements for a relevant imaging approach; 1.5. Additional comments; Chapter 2. Gray-Tone Image Processing and Analysis
2.1. Image processing2.1.1. Image enhancement; 2.1.2. Image restoration; 2.1.3. Image inpainting; 2.1.4. Image warping, registration and morphing; 2.2. Image analysis; 2.2.1. Image features; 2.2.2. Image feature detection and extraction; 2.2.3. Image segmentation; 2.3. Image comparison; 2.3.1. Image pattern analysis, recognition and formation; 2.3.2. Image quality measure; 2.4. Importance of Human Vision; 2.5. Additional comments; Chapter 3. Binary Images; 3.1. Scene, objects and context; 3.1.1. Types of collection of objects; 3.1.2. Types of perturbations; 3.2. Binary and multinary images
3.2.1. Binary images3.2.2. Multinary images; 3.3. Additional comments; Chapter 4. Binary Image Processing and Analysis; 4.1. Binary image processing; 4.1.1. Binary image processing methods; 4.2. Binary image analysis; 4.2.1. Object feature detection and extraction; 4.3. Binary image and object description; 4.3.1. Binary image and object descriptors; 4.3.2. Properties of the binary image and object descriptor; 4.4. Object comparison; 4.5. Object analysis, recognition and formation; 4.5.1. Object recognition; 4.5.2. Object formation; 4.6. Additional comments
Chapter 5. Key Concepts and Notions for IPA5.1. Dimensionality; 5.1.1. Dimension in Physics; 5.1.2. Dimension in Mathematics; 5.1.3. Dimension in imaging sciences and technologies; 5.2. Continuity and discreteness; 5.3. Scale, resolution and definition; 5.3.1. Scale; 5.3.2. Resolution; 5.3.3. Image definition; 5.4. Domains; 5.5. Ranges; 5.5.1. Pointwise ranges; 5.5.2. Local ranges; 5.5.3. Global ranges; 5.5.4. Constrained ranges; 5.6. Additional comments; Chapter 6. Mathematical Imaging Frameworks; 6.1. Mathematical imaging frameworks; 6.1.1. Mathematical imaging paradigms
6.1.2. Mathematical imaging frameworks6.1.3. Mathematical imaging approaches; 6.2. Image representation and image modeling; 6.2.1. Imaging representation; 6.2.2. Imaging modeling; 6.3. A mathematical imaging methodology; 6.4. Additional comments; Part 2. Basic Mathematical Reminders for Gray-Tone and Binary Image Processing and Analysis; Chapter 7. Basic Reminders in Set Theory; 7.1. Mathematical disciplines; 7.2. Sets and elements; 7.2.1. Membership; 7.2.2. Relations and operations between sets; 7.2.3. Power sets; 7.3. Order and equivalence relations on sets; 7.3.1. Order relations on sets
7.3.2. Lattices and complete lattices
Record Nr. UNINA-9910132333903321
Pinoli Jean-Charles  
London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
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  
London, England ; ; Hoboken, New Jersey : , : iSTE : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui