05618nam 2200673 450 991013233390332120230803203653.01-118-62570-61-118-64911-7(CKB)3710000000187041(EBL)1734297(SSID)ssj0001340553(PQKBManifestationID)11716525(PQKBTitleCode)TC0001340553(PQKBWorkID)11380454(PQKB)10292730(OCoLC)883892101(MiAaPQ)EBC1734297(Au-PeEL)EBL1734297(CaPaEBR)ebr10892211(CaONFJC)MIL627076(EXLCZ)99371000000018704120140723h20142014 uy 0engur|n|---|||||txtccrMathematical foundations of image processing and analysis 1 /Jean-Charles PinoliLondon, England ;Hoboken, New Jersey :ISTE :Wiley,2014.©20141 online resource (456 p.)Digital Signal and Image Processing SeriesDescription based upon print version of record.1-84821-546-0 Includes bibliographical references and indexes.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 Analysis2.1. 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 images3.2.1. 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 commentsChapter 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 paradigms6.1.2. 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 sets7.3.2. Lattices and complete latticesImage 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, emphasize some particular aspect of the information or optimize their transmission, or to perform radiometric and/or spatial analysis. By "image analysis" we understand, however, all kinds of operation performed on images (or sequences of images) in order to extract qualitative or quantitative data, perform meDigital signal and image processing series.Image processingDigital techniquesPattern recognition systemsData processingImage analysisData processingImage processingDigital techniques.Pattern recognition systemsData processing.Image analysisData processing.621.367Pinoli Jean-Charles860410MiAaPQMiAaPQMiAaPQBOOK9910132333903321Mathematical foundations of image processing and analysis 11919738UNINA