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Author | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 261 |
Release | : 1996-03-28 |
Genre | : Mathematics |
ISBN | : 0309053870 |
Download Mathematics and Physics of Emerging Biomedical Imaging Book in PDF, ePub and Kindle
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 |
Total Pages | : 198 |
Release | : 2008-05-21 |
Genre | : Medical |
ISBN | : 3540795537 |
Download An Introduction to Mathematics of Emerging Biomedical Imaging Book in PDF, ePub and Kindle
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 | : National Research Council |
Publisher | : National Academies Press |
Total Pages | : 260 |
Release | : 1996-02-28 |
Genre | : Mathematics |
ISBN | : 0309175976 |
Download Mathematics and Physics of Emerging Biomedical Imaging Book in PDF, ePub and Kindle
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 | : Jack Lancaster |
Publisher | : CRC Press |
Total Pages | : 361 |
Release | : 2016-10-14 |
Genre | : Medical |
ISBN | : 1498751644 |
Download Fundamental Mathematics and Physics of Medical Imaging Book in PDF, ePub and Kindle
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 | : Jack Lancaster |
Publisher | : CRC Press |
Total Pages | : 347 |
Release | : 2016-10-14 |
Genre | : Medical |
ISBN | : 1498751628 |
Download Fundamental Mathematics and Physics of Medical Imaging Book in PDF, ePub and Kindle
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 |
Total Pages | : 170 |
Release | : 2011-09-15 |
Genre | : Mathematics |
ISBN | : 3642229905 |
Download Mathematical Modeling in Biomedical Imaging II Book in PDF, ePub and Kindle
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 |
Total Pages | : 244 |
Release | : 2009-10-21 |
Genre | : Mathematics |
ISBN | : 3642034438 |
Download Mathematical Modeling in Biomedical Imaging I Book in PDF, ePub and Kindle
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 | : Charles L. Epstein |
Publisher | : SIAM |
Total Pages | : 794 |
Release | : 2008-01-01 |
Genre | : Mathematics |
ISBN | : 9780898717792 |
Download Introduction to the Mathematics of Medical Imaging Book in PDF, ePub and Kindle
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 | : Max A. Viergever |
Publisher | : Springer Science & Business Media |
Total Pages | : 535 |
Release | : 2012-12-06 |
Genre | : Computers |
ISBN | : 3642833063 |
Download Mathematics and Computer Science in Medical Imaging Book in PDF, ePub and Kindle
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 | : William R. Hendee |
Publisher | : Wiley-Liss |
Total Pages | : 548 |
Release | : 2002 |
Genre | : Medical |
ISBN | : |
Download Medical Imaging Physics Book in PDF, ePub and Kindle
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.