Mathematics Of Digital Images
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Mathematics Of Digital Images
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Author : S. G. Hoggar
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-14
Mathematics Of Digital Images written by S. G. Hoggar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-14 with Computers categories.
This major revision of the author's popular book still focuses on foundations and proofs, but now exhibits a shift away from Topology to Probability and Information Theory (with Shannon's source and channel encoding theorems) which are used throughout. Three vital areas for the digital revolution are tackled (compression, restoration and recognition), establishing not only what is true, but why, to facilitate education and research. It will remain a valuable book for computer scientists, engineers and applied mathematicians.
Mathematics Of Digital Images
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Author : S. G. Hoggar
language : en
Publisher: Cambridge University Press
Release Date : 2006-09-14
Mathematics Of Digital Images written by S. G. Hoggar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-09-14 with Computers categories.
Compression, restoration and recognition are three of the key components of digital imaging. The mathematics needed to understand and carry out all these components are explained here in a style that is at once rigorous and practical with many worked examples, exercises with solutions, pseudocode, and sample calculations on images. The introduction lists fast tracks to special topics such as Principal Component Analysis, and ways into and through the book, which abounds with illustrations. The first part describes plane geometry and pattern-generating symmetries, along with some on 3D rotation and reflection matrices. Subsequent chapters cover vectors, matrices and probability. These are applied to simulation, Bayesian methods, Shannon's information theory, compression, filtering and tomography. The book will be suited for advanced courses or for self-study. It will appeal to all those working in biomedical imaging and diagnosis, computer graphics, machine vision, remote sensing, image processing and information theory and its applications.
Digital Image Processing
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Author : J M Blackledge
language : en
Publisher: Elsevier
Release Date : 2005-11-30
Digital Image Processing written by J M Blackledge and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-11-30 with Computers categories.
This authoritative text (the second part of a complete MSc course) provides mathematical methods required to describe images, image formation and different imaging systems, coupled with the principle techniques used for processing digital images. It is based on a course for postgraduates reading physics, electronic engineering, telecommunications engineering, information technology and computer science. This book relates the methods of processing and interpreting digital images to the 'physics' of imaging systems. Case studies reinforce the methods discussed, with examples of current research themes. - Provides mathematical methods required to describe images, image formation and different imaging systems - Outlines the principle techniques used for processing digital images - Relates the methods of processing and interpreting digital images to the 'physics' of imaging systems
Image Processing
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Author : Jonathan M. Blackledge
language : en
Publisher:
Release Date : 1997
Image Processing written by Jonathan M. Blackledge and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
The generation, storage and processing of digital images plays a fundamental role in the information technology revolution. Digital imaging processing technology has developed markedly over the last ten years and more and more information is being conveyed through the display and analysis of digital images. The way in which image data is stored and processed is fundamental to all aspects of IT. Examples include remote sensing using the new generation of digital satellites which carry a range of different sensors that, when coupled with suitable image processing technology, can provide a wealth of information to geologists, geographers and atmospheric physicists used in everything from the exploration of oil and other natural resources to environmental monitoring and agricultural development in the Third World. Other examples include the use of image processing in medical imaging for use in diagnosis using conventional X-ray Computed Tomography to research into the behaviour of the human brain using real time Magnetic Resonance Imaging. This book consists of twenty-one papers which collectively cover a broad range of image processing problems and the way on which solutions to these problems are used in different area of sciences and technology. The papers present details of the way in which computers of varying processing power can be programmed to store image efficiently, resolve features and patterns in an image that are either time consuming or impossible for human interpreters and develop machines that can `see', like humans. The book covers a wide range of applications which include the use of lasers for studying the dynamic behaviour of mechanical components, overviews of image processing in remote sensing and medical imaging and the application of a new form of geometry (fractal geometry) for rcognizing patterns which is not possible with conventional data processing. The book will be of value to any engineer, scientists and technologist who wants to acquire information on current research issues in image processing by reading a set of papers prepared by some of the world's leading specialists.
Introduction To The Mathematics Of Medical Imaging
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Author : Charles L. Epstein
language : en
Publisher: SIAM
Release Date : 2008-01-01
Introduction To The Mathematics Of Medical Imaging written by Charles L. Epstein and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-01 with Mathematics categories.
At the heart of every medical imaging technology is a sophisticated mathematical model of the measurement process and an algorithm to reconstruct an image from the measured data. This book provides a firm foundation in the mathematical tools used to model the measurements and derive the reconstruction algorithms used in most of these modalities. The text uses X-ray computed tomography (X-ray CT) as a 'pedagogical machine' to illustrate important ideas and its extensive discussion of background material makes the more advanced mathematical topics accessible to people with a less formal mathematical education. This new edition contains a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, an improved description of the gridding method, and new sections on both Grangreat's formula and noise analysis in MR-imaging. Mathematical concepts are illuminated with over 200 illustrations and numerous exercises.
Mathematical Morphology And Its Applications To Image Processing
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Author : Jean Serra
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematical Morphology And Its Applications To Image Processing written by Jean Serra and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
Mathematical morphology (MM) is a theory for the analysis of spatial structures. It is called morphology since it aims at analysing the shape and form of objects, and it is mathematical in the sense that the analysis is based on set theory, topology, lattice algebra, random functions, etc. MM is not only a theory, but also a powerful image analysis technique. The purpose of the present book is to provide the image analysis community with a snapshot of current theoretical and applied developments of MM. The book consists of forty-five contributions classified by subject. It demonstrates a wide range of topics suited to the morphological approach.
Image Processing And Analysis
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Author : Tony F. Chan
language : en
Publisher: SIAM
Release Date : 2005-09-01
Image Processing And Analysis written by Tony F. Chan and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-09-01 with Computers categories.
This book develops the mathematical foundation of modern image processing and low-level computer vision, bridging contemporary mathematics with state-of-the-art methodologies in modern image processing, whilst organizing contemporary literature into a coherent and logical structure. The authors have integrated the diversity of modern image processing approaches by revealing the few common threads that connect them to Fourier and spectral analysis, the machinery that image processing has been traditionally built on. The text is systematic and well organized: the geometric, functional, and atomic structures of images are investigated, before moving to a rigorous development and analysis of several image processors. The book is comprehensive and integrative, covering the four most powerful classes of mathematical tools in contemporary image analysis and processing while exploring their intrinsic connections and integration. The material is balanced in theory and computation, following a solid theoretical analysis of model building and performance with computational implementation and numerical examples.
Mathematical Methods For Signal And Image Analysis And Representation
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Author : Luc Florack
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-13
Mathematical Methods For Signal And Image Analysis And Representation written by Luc Florack and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-13 with Mathematics categories.
Mathematical Methods for Signal and Image Analysis and Representation presents the mathematical methodology for generic image analysis tasks. In the context of this book an image may be any m-dimensional empirical signal living on an n-dimensional smooth manifold (typically, but not necessarily, a subset of spacetime). The existing literature on image methodology is rather scattered and often limited to either a deterministic or a statistical point of view. In contrast, this book brings together these seemingly different points of view in order to stress their conceptual relations and formal analogies. Furthermore, it does not focus on specific applications, although some are detailed for the sake of illustration, but on the methodological frameworks on which such applications are built, making it an ideal companion for those seeking a rigorous methodological basis for specific algorithms as well as for those interested in the fundamental methodology per se. Covering many topics at the forefront of current research, including anisotropic diffusion filtering of tensor fields, this book will be of particular interest to graduate and postgraduate students and researchers in the fields of computer vision, medical imaging and visual perception.
Image Processing For Computer Graphics
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Author : Jonas Gomes
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Image Processing For Computer Graphics written by Jonas Gomes and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Computers categories.
Image processing is concerned with the analysis and manipulation of images by computer. The focus of this book is to provide a thorough treatment of image processing with an emphasis on those aspects most used in computer graphics. Throughout, the authors concentrate on describing and analyzing the underlying concepts rather than on presenting algorithms or pseudocode. As befits a modern introduction to this topic, a good balance is struck between discussing the underlying mathematics of the subject and the main topics covered: signal processing, data discretization, the theory of colour and different colour systems, operations in images, dithering and half-toning, warping and morphing, and image processing.
The Mathematics Of Medical Imaging
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Author : Timothy G. Feeman
language : en
Publisher: Springer Science & Business Media
Release Date : 2010
The Mathematics Of Medical Imaging written by Timothy G. Feeman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Computers categories.
Medical imaging is a major part of twenty-first century health care. This introduction explores the mathematical aspects of imaging in medicine to explain approximation methods in addition to computer implementation of inversion algorithms.