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Mathematical foundations of image processing and analysis. 1 /

Image processing and image analysis are typically important fields in information science and technology. By "image processing", we generally understand all kinds of operation performed on images (or sequences of images) in order to increase their quality, restore their original content, e...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pinoli, Jean-Charles
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Wiley-ISTE, 2014.
Colección:Digital signal and image processing series.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.