Mathematics And Physics Of Emerging Biomedical Imaging

Author : National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging
Publisher : National Academies Press
Page : 261 pages
File Size : 54,9 Mb
Release : 1996-03-28
Category : Mathematics
ISBN : 9780309053877

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Mathematics and Physics of Emerging Biomedical Imaging by National Research Council,Division on Engineering and Physical Sciences,Commission on Physical Sciences, Mathematics, and Applications,Committee on the Mathematics and Physics of Emerging Dynamic Biomedical Imaging Pdf

This cross-disciplinary book documents the key research challenges in the mathematical sciences and physics that could enable the economical development of novel biomedical imaging devices. It is hoped that the infusion of new insights from mathematical scientists and physicists will accelerate progress in imaging. Incorporating input from dozens of biomedical researchers who described what they perceived as key open problems of imaging that are amenable to attack by mathematical scientists and physicists, this book introduces the frontiers of biomedical imaging, especially the imaging of dynamic physiological functions, to the educated nonspecialist. Ten imaging modalities are covered, from the well-established (e.g., CAT scanning, MRI) to the more speculative (e.g., electrical and magnetic source imaging). For each modality, mathematics and physics research challenges are identified and a short list of suggested reading offered. Two additional chapters offer visions of the next generation of surgical and interventional techniques and of image processing. A final chapter provides an overview of mathematical issues that cut across the various modalities.

Author : Habib Ammari
Publisher : Springer Science & Business Media
Page : 198 pages
File Size : 52,9 Mb
Release : 2008-05-21
Category : Medical
ISBN : 9783540795537

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An Introduction to Mathematics of Emerging Biomedical Imaging by Habib Ammari Pdf

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.

Author : Jack Lancaster,Bruce Hasegawa
Publisher : CRC Press
Page : 468 pages
File Size : 49,8 Mb
Release : 2016-10-14
Category : Medical
ISBN : 9781498751643

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Fundamental Mathematics and Physics of Medical Imaging by Jack Lancaster,Bruce Hasegawa Pdf

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.

Author : Habib Ammari
Publisher : Springer Science & Business Media
Page : 170 pages
File Size : 52,5 Mb
Release : 2011-09-10
Category : Mathematics
ISBN : 9783642229893

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Mathematical Modeling in Biomedical Imaging II by Habib Ammari Pdf

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.

Author : Habib Ammari
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 45,6 Mb
Release : 2009-10-21
Category : Mathematics
ISBN : 9783642034435

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Mathematical Modeling in Biomedical Imaging I by Habib Ammari Pdf

This volume gives an introduction to a fascinating research area to applied mathematicians. It is devoted to providing the exposition of promising analytical and numerical techniques for solving challenging biomedical imaging problems, which trigger the investigation of interesting issues in various branches of mathematics.

Author : Nadine Barrie Smith,Andrew Webb
Publisher : Cambridge University Press
Page : 128 pages
File Size : 49,5 Mb
Release : 2010-11-18
Category : Technology & Engineering
ISBN : 9781139492041

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Introduction to Medical Imaging by Nadine Barrie Smith,Andrew Webb Pdf

Covering the basics of X-rays, CT, PET, nuclear medicine, ultrasound, and MRI, this textbook provides senior undergraduate and beginning graduate students with a broad introduction to medical imaging. Over 130 end-of-chapter exercises are included, in addition to solved example problems, which enable students to master the theory as well as providing them with the tools needed to solve more difficult problems. The basic theory, instrumentation and state-of-the-art techniques and applications are covered, bringing students immediately up-to-date with recent developments, such as combined computed tomography/positron emission tomography, multi-slice CT, four-dimensional ultrasound, and parallel imaging MR technology. Clinical examples provide practical applications of physics and engineering knowledge to medicine. Finally, helpful references to specialised texts, recent review articles, and relevant scientific journals are provided at the end of each chapter, making this an ideal textbook for a one-semester course in medical imaging.

Author : Charles L. Epstein
Publisher : SIAM
Page : 794 pages
File Size : 47,6 Mb
Release : 2008-01-01
Category : Mathematics
ISBN : 0898717795

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Introduction to the Mathematics of Medical Imaging by Charles L. Epstein Pdf

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.

Author : Timothy G. Feeman
Publisher : Springer Science & Business Media
Page : 150 pages
File Size : 48,8 Mb
Release : 2010
Category : Computers
ISBN : 9780387927114

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The Mathematics of Medical Imaging by Timothy G. Feeman Pdf

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.

Author : William R. Hendee,E. Russell Ritenour
Publisher : Wiley-Liss
Page : 548 pages
File Size : 41,6 Mb
Release : 2002
Category : Medical
ISBN : UOM:39015055860335

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Medical Imaging Physics by William R. Hendee,E. Russell Ritenour Pdf

This comprehensive publication covers all aspects of image formation in modern medical imaging modalities, from radiography, fluoroscopy, and computed tomography, to magnetic resonance imaging and ultrasound. It addresses the techniques and instrumentation used in the rapidly changing field of medical imaging. Now in its fourth edition, this text provides the reader with the tools necessary to be comfortable with the physical principles, equipment, and procedures used in diagnostic imaging, as well as appreciate the capabilities and limitations of the technologies.

Author : Max A. Viergever,Andrew Todd-Pokropek
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 46,9 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9783642833069

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Mathematics and Computer Science in Medical Imaging by Max A. Viergever,Andrew Todd-Pokropek Pdf

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.

Author : Habib Ammari
Publisher : Springer
Page : 160 pages
File Size : 53,7 Mb
Release : 2011-09-17
Category : Mathematics
ISBN : 3642229913

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Mathematical Modeling in Biomedical Imaging II by Habib Ammari Pdf

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.

Author : Anonim
Publisher : Newnes
Page : 4052 pages
File Size : 43,7 Mb
Release : 2014-07-25
Category : Science
ISBN : 9780444536334

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Comprehensive Biomedical Physics by Anonim Pdf

Comprehensive Biomedical Physics, Ten Volume Set is a new reference work that provides the first point of entry to the literature for all scientists interested in biomedical physics. It is of particularly use for graduate and postgraduate students in the areas of medical biophysics. This Work is indispensable to all serious readers in this interdisciplinary area where physics is applied in medicine and biology. Written by leading scientists who have evaluated and summarized the most important methods, principles, technologies and data within the field, Comprehensive Biomedical Physics is a vital addition to the reference libraries of those working within the areas of medical imaging, radiation sources, detectors, biology, safety and therapy, physiology, and pharmacology as well as in the treatment of different clinical conditions and bioinformatics. This Work will be valuable to students working in all aspect of medical biophysics, including medical imaging and biomedical radiation science and therapy, physiology, pharmacology and treatment of clinical conditions and bioinformatics. The most comprehensive work on biomedical physics ever published Covers one of the fastest growing areas in the physical sciences, including interdisciplinary areas ranging from advanced nuclear physics and quantum mechanics through mathematics to molecular biology and medicine Contains 1800 illustrations, all in full color

Author : Paul Suetens
Publisher : Cambridge University Press
Page : 128 pages
File Size : 51,7 Mb
Release : 2009-08-06
Category : Medical
ISBN : 9781139479882

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Fundamentals of Medical Imaging by Paul Suetens Pdf

Fundamentals of Medical Imaging, second edition, is an invaluable technical introduction to each imaging modality, explaining the mathematical and physical principles and giving a clear understanding of how images are obtained and interpreted. Individual chapters cover each imaging modality – radiography, CT, MRI, nuclear medicine and ultrasound – reviewing the physics of the signal and its interaction with tissue, the image formation or reconstruction process, a discussion of image quality and equipment, clinical applications and biological effects and safety issues. Subsequent chapters review image analysis and visualization for diagnosis, treatment and surgery. New to this edition: • Appendix of questions and answers • New chapter on 3D image visualization • Advanced mathematical formulae in separate text boxes • Ancillary website containing 3D animations: www.cambridge.org/suetens • Full colour illustrations throughout Engineers, clinicians, mathematicians and physicists will find this an invaluable aid in understanding the physical principles of imaging and their clinical applications.

Author : Yair Censor,Ming Jiang (PhD.),Ge Wang
Publisher : Medical Physics Publishing Corporation
Page : 561 pages
File Size : 45,6 Mb
Release : 2010
Category : Biomathematics
ISBN : 193052448X

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Biomedical Mathematics by Yair Censor,Ming Jiang (PhD.),Ge Wang Pdf

Author : M. A. Viergever,Andrew Todd-Pokropek
Publisher : Springer
Page : 568 pages
File Size : 42,9 Mb
Release : 1988
Category : Computer graphics
ISBN : UOM:39015013203644

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Mathematics and Computer Science in Medical Imaging by M. A. Viergever,Andrew Todd-Pokropek Pdf