Introduction to the Mathematics of Medical Imaging

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Release : 2008-01-01
Genre : Mathematics
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Book Rating : 792/5 ( reviews)

Introduction to the Mathematics of Medical Imaging - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to the Mathematics of Medical Imaging write by Charles L. Epstein. This book was released on 2008-01-01. Introduction to the Mathematics of Medical Imaging available 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.

The Mathematics of Medical Imaging

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Release : 2010
Genre : Computers
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Book Rating : 115/5 ( reviews)

The Mathematics of Medical Imaging - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Mathematics of Medical Imaging write by Timothy G. Feeman. This book was released on 2010. The Mathematics of Medical Imaging available in PDF, EPUB and Kindle. 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.

Introduction to Medical Imaging

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Release : 2010-11-18
Genre : Technology & Engineering
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Book Rating : 047/5 ( reviews)

Introduction to Medical Imaging - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Medical Imaging write by Nadine Barrie Smith. This book was released on 2010-11-18. Introduction to Medical Imaging available in PDF, EPUB and Kindle. 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.

An Introduction to Mathematics of Emerging Biomedical Imaging

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Release : 2008-05-21
Genre : Medical
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Book Rating : 537/5 ( reviews)

An Introduction to Mathematics of Emerging Biomedical Imaging - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Mathematics of Emerging Biomedical Imaging write by Habib Ammari. This book was released on 2008-05-21. An Introduction to Mathematics of Emerging Biomedical Imaging available 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.

Fundamentals of Medical Imaging

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Release : 2009-08-06
Genre : Medical
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Book Rating : 881/5 ( reviews)

Fundamentals of Medical Imaging - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fundamentals of Medical Imaging write by Paul Suetens. This book was released on 2009-08-06. Fundamentals of Medical Imaging available in PDF, EPUB and Kindle. 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.