Mathematical Morphology in Image Processing

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Author :
Publisher : CRC Press
ISBN 13 : 1351830503
Total Pages : 355 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Mathematical Morphology in Image Processing by : Edward Dougherty

Download or read book Mathematical Morphology in Image Processing written by Edward Dougherty and published by CRC Press. This book was released on 2018-10-03 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the statistical analysis of morphological filters and their automatic optical design, the development of morphological features for image signatures, and the design of efficient morphological algorithms. Extends the morphological paradigm to include other branches of science and mathematics.;This book is designed to be of interest to optical, electrical and electronics, and electro-optic engineers, including image processing, signal processing, machine vision, and computer vision engineers, applied mathematicians, image analysts and scientists and graduate-level students in image processing and mathematical morphology courses.

Imagerie numérique : avancées et perspectives pour la couleur

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Publisher : Lavoisier
ISBN 13 : 2746282054
Total Pages : 378 pages
Book Rating : 4.7/5 (462 download)

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Book Synopsis Imagerie numérique : avancées et perspectives pour la couleur by : FERNANDEZ-MALOIGNE Christine

Download or read book Imagerie numérique : avancées et perspectives pour la couleur written by FERNANDEZ-MALOIGNE Christine and published by Lavoisier. This book was released on 2012-04-16 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cet ouvrage collectif recense les dernières avancées dans le domaine de l'analyse automatique des images numériques couleur. Destiné aux chercheurs, ingénieurs R&D et étudiants en Master ou Doctorat, il constitue un état de l'art critique et le plus exhaustif possible sur les problématiques scientifiques soulevées par les différentes étapes constituant une chaîne de traitement des images couleur. Le filtrage et la segmentation des images fixes sont abordés par des techniques récentes telles que les outils morphologiques couleur, les équations aux dérivées partielles, l'algèbre quaternionique ou l'analyse de graphes. La caractérisation des textures couleur est traitée par la prédiction linéaire ou des descripteurs statistiques. La reconnaissance d'objets fixes ou en mouvement dans des vidéos couleur nécessite d'utiliser des attributs invariants aux conditions d'éclairage. Une attention particulière a été apportée aux espaces couleur, et notamment ceux séparant la luminance de la chrominance.

Introduction to the Mathematics of Medical Imaging

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Publisher : SIAM
ISBN 13 : 089871642X
Total Pages : 782 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Introduction to the Mathematics of Medical Imaging by : Charles L. Epstein

Download or read book Introduction to the Mathematics of Medical Imaging written by Charles L. Epstein and published by SIAM. This book was released on 2008-01-01 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 imaging modalities in current use. In the process, it also covers many important analytic concepts and techniques used in Fourier analysis, integral equations, sampling theory, and noise analysis.This text uses X-ray computed tomography as a "pedagogical machine" to illustrate important ideas and incorporates extensive discussions of background material making the more advanced mathematical topics accessible to readers with a less formal mathematical education. The mathematical concepts are illuminated with over 200 illustrations and numerous exercises.New to the second edition are a chapter on magnetic resonance imaging (MRI), a revised section on the relationship between the continuum and discrete Fourier transforms, a new section on Grangreat's formula, an improved description of the gridding method, and a new section on noise analysis in MRI. Audience The book is appropriate for one- or two-semester courses at the advanced undergraduate or beginning graduate level on the mathematical foundations of modern medical imaging technologies. The text assumes an understanding of calculus, linear algebra, and basic mathematical analysis. Contents Preface to the Second Edition; Preface; How to Use This Book; Notational Conventions; Chapter 1: Measurements and Modeling; Chapter 2: Linear Models and Linear Equations; Chapter 3: A Basic Model for Tomography; Chapter 4: Introduction to the Fourier Transform; Chapter 5: Convolution; Chapter 6: The Radon Transform; Chapter 7: Introduction to Fourier Series; Chapter 8: Sampling; Chapter 9: Filters; Chapter 10: Implementing Shift Invariant Filters; Chapter 11: Reconstruction in X-Ray Tomography; Chapter 12: Imaging Artifacts in X-Ray Tomography; Chapter 13: Algebraic Reconstruction Techniques; Chapter 14: Magnetic Resonance Imaging; Chapter 15: Probability and Random Variables; Chapter 16: Applications of Probability; Chapter 17: Random Processes; Appendix A: Background Material; Appendix B: Basic Analysis; Index.

Mathematical Morphology and Its Applications to Image Processing

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Publisher : Springer Science & Business Media
ISBN 13 : 9401110409
Total Pages : 391 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Mathematical Morphology and Its Applications to Image Processing by : Jean Serra

Download or read book Mathematical Morphology and Its Applications to Image Processing written by Jean Serra and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Mathematics of Emerging Biomedical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3540795537
Total Pages : 198 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis An Introduction to Mathematics of Emerging Biomedical Imaging by : Habib Ammari

Download or read book An Introduction to Mathematics of Emerging Biomedical Imaging written by Habib Ammari and published by Springer Science & Business Media. This book was released on 2008-05-21 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Biomedical imaging is a fascinating research area to applied mathematicians. Challenging imaging problems arise and they often trigger the investigation of fundamental problems in various branches of mathematics. This is the first book to highlight the most recent mathematical developments in emerging biomedical imaging techniques. The main focus is on emerging multi-physics and multi-scales imaging approaches. For such promising techniques, it provides the basic mathematical concepts and tools for image reconstruction. Further improvements in these exciting imaging techniques require continued research in the mathematical sciences, a field that has contributed greatly to biomedical imaging and will continue to do so. The volume is suitable for a graduate-level course in applied mathematics and helps prepare the reader for a deeper understanding of research areas in biomedical imaging.

Mathematical Methods in Image Reconstruction

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Publisher : SIAM
ISBN 13 : 9780898718324
Total Pages : 228 pages
Book Rating : 4.7/5 (183 download)

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Book Synopsis Mathematical Methods in Image Reconstruction by : Frank Natterer

Download or read book Mathematical Methods in Image Reconstruction written by Frank Natterer and published by SIAM. This book was released on 2001-01-01 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.

Imagerie Mathematique

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Author :
Publisher : Omniscriptum
ISBN 13 : 9783841666017
Total Pages : 108 pages
Book Rating : 4.6/5 (66 download)

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Book Synopsis Imagerie Mathematique by : Jaafar Belaid Lamia

Download or read book Imagerie Mathematique written by Jaafar Belaid Lamia and published by Omniscriptum. This book was released on 2015-06-15 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ce livre est issu de quelques travaux de recherche et porte sur la resolution de certains problemes en traitement d'images. Nul ne peut nier que le developpement dans ce domaine est toujours en pleine expansion avec une multitude d'approches utilisees pour repondre aux diverses applications qui ne font que s'accroitre et se diversifier. Par ailleurs, la progression au niveau de la rapidite et de la complexite des algorithmes demeure un sujet de grand interet. Au-dela de la presentation generale de l'imagerie mathematique et ses applications, l'objectif de ce manuscrit est de presenter certaines methodes pour resoudre des problemes classiques en traitement d'images, tels que des problemes de restauration, de detection de contours, de classification et de segmentation. Notre but est de pouvoir adapter ces methodes a des problemes reels, soit par la nature des applications etudiees, soit par l'efficacite et la rapidite des algorithmes proposes. Cet ouvrage s'adresse aux etudiants de Master et de Doctorat qui travaillent sur ce sujet, et peut etre utile pour les chercheurs en Mathematiques ou en d'autres disciplines interesses par le traitement d'images."

Mathematics and Computer Science in Medical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3642833063
Total Pages : 535 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Mathematics and Computer Science in Medical Imaging by : Max A. Viergever

Download or read book Mathematics and Computer Science in Medical Imaging written by Max A. Viergever and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Medical imaging is an important and rapidly expanding area in medical science. Many of the methods employed are essentially digital, for example computerized tomography, and the subject has become increasingly influenced by develop ments in both mathematics and computer science. The mathematical problems have been the concern of a relatively small group of scientists, consisting mainly of applied mathematicians and theoretical physicists. Their efforts have led to workable algorithms for most imaging modalities. However, neither the fundamentals, nor the limitations and disadvantages of these algorithms are known to a sufficient degree to the physicists, engineers and physicians trying to implement these methods. It seems both timely and important to try to bridge this gap. This book summarizes the proceedings of a NATO Advanced Study Institute, on these topics, that was held in the mountains of Tuscany for two weeks in the late summer of 1986. At another (quite different) earlier meeting on medical imaging, the authors noted that each of the speakers had given, there, a long introduction in their general area, stated that they did not have time to discuss the details of the new work, but proceeded to show lots of clinical results, while excluding any mathematics associated with the area.

Handbook of Mathematical Methods in Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 0387929193
Total Pages : 1626 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis Handbook of Mathematical Methods in Imaging by : Otmar Scherzer

Download or read book Handbook of Mathematical Methods in Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2010-11-23 with total page 1626 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.

Mathematical Methods for Signal and Image Analysis and Representation

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Publisher : Springer Science & Business Media
ISBN 13 : 1447123522
Total Pages : 321 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Mathematical Methods for Signal and Image Analysis and Representation by : Luc Florack

Download or read book Mathematical Methods for Signal and Image Analysis and Representation written by Luc Florack and published by Springer Science & Business Media. This book was released on 2012-01-13 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Mathematics of Medical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 0387927115
Total Pages : 150 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis The Mathematics of Medical Imaging by : Timothy G. Feeman

Download or read book The Mathematics of Medical Imaging written by Timothy G. Feeman and published by Springer Science & Business Media. This book was released on 2010 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Mathematical Methods in Image Reconstruction

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Publisher : SIAM
ISBN 13 : 0898716225
Total Pages : 226 pages
Book Rating : 4.8/5 (987 download)

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Book Synopsis Mathematical Methods in Image Reconstruction by : Frank Natterer

Download or read book Mathematical Methods in Image Reconstruction written by Frank Natterer and published by SIAM. This book was released on 2001-01-01 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides readers with a superior understanding of the mathematical principles behind imaging.

Mathematical Models for Registration and Applications to Medical Imaging

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Publisher : Springer Science & Business Media
ISBN 13 : 3540347674
Total Pages : 192 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Mathematical Models for Registration and Applications to Medical Imaging by : Otmar Scherzer

Download or read book Mathematical Models for Registration and Applications to Medical Imaging written by Otmar Scherzer and published by Springer Science & Business Media. This book was released on 2006-10-03 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives a survey on mathematical and computational methods in image registration. During the last year sophisticated numerical models for registration and efficient numerical methods have been proposed. Many of them are contained in this volume. The book also summarizes the state-of-the-art in mathematical and computational methods in image registration. In addition, it covers some practical applications and new directions with industrial relevance in data processing.

Fundamental Mathematics and Physics of Medical Imaging

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Publisher : CRC Press
ISBN 13 : 1498751628
Total Pages : 347 pages
Book Rating : 4.4/5 (987 download)

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Book Synopsis Fundamental Mathematics and Physics of Medical Imaging by : Jack Lancaster

Download or read book Fundamental Mathematics and Physics of Medical Imaging written by Jack Lancaster and published by CRC Press. This book was released on 2016-10-14 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Authored by a leading educator, this book teaches the fundamental mathematics and physics concepts associated with medical imaging systems. Going beyond mere description of imaging modalities, this book delves into the mechanisms of image formation and image quality common to all imaging systems: contrast mechanisms, noise, and spatial and temporal resolution, making it an important reference for medical physicists and biomedical engineering students. This is an extensively revised new edition of The Physics of Medical X-Ray Imaging by Bruce Hasegawa (Medical Physics Publishing, 1991), and includes a wide range of modalities such as X-ray CT, MRI and SPECT.

Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques

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Publisher : Presses Université Laval
ISBN 13 : 9782763773629
Total Pages : 540 pages
Book Rating : 4.7/5 (736 download)

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Book Synopsis Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques by : Claude Gaulin

Download or read book Actes Du 7e Congrès International Sur L'enseignement Des Mathématiques written by Claude Gaulin and published by Presses Université Laval. This book was released on 1994 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Physics and Mathematics of MRI

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Author :
Publisher : Morgan & Claypool Publishers
ISBN 13 : 1681740680
Total Pages : 188 pages
Book Rating : 4.6/5 (817 download)

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Book Synopsis The Physics and Mathematics of MRI by : Richard Ansorge

Download or read book The Physics and Mathematics of MRI written by Richard Ansorge and published by Morgan & Claypool Publishers. This book was released on 2016-11-01 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Magnetic Resonance Imaging is a very important clinical imaging tool. It combines different fields of physics and engineering in a uniquely complex way. MRI is also surprisingly versatile, 'pulse sequences' can be designed to yield many different types of contrast. This versatility is unique to MRI. This short book gives both an in depth account of the methods used for the operation and construction of modern MRI systems and also the principles of sequence design and many examples of applications. An important additional feature of this book is the detailed discussion of the mathematical principles used in building optimal MRI systems and for sequence design. The mathematical discussion is very suitable for undergraduates attending medical physics courses. It is also more complete than usually found in alternative books for physical scientists or more clinically orientated works.

Mathematical Modeling in Biomedical Imaging II

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Author :
Publisher : Springer
ISBN 13 : 3642229905
Total Pages : 170 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Mathematical Modeling in Biomedical Imaging II by : Habib Ammari

Download or read book Mathematical Modeling in Biomedical Imaging II written by Habib Ammari and published by Springer. This book was released on 2011-09-15 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reports on recent mathematical and computational advances in optical, ultrasound, and opto-acoustic tomographies. It outlines the state-of-the-art and future directions in these fields and provides readers with the most recently developed mathematical and computational tools. It is particularly suitable for researchers and graduate students in applied mathematics and biomedical engineering.