Introduction to the Mathematics of Medical Imaging
Charles L. Epstein
ISBN 10: 089871642X ISBN 13: 9780898716429
Published by Society for Industrial and Applied Mathematics,U.S., US, 2007
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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. Seller Inventory # LU-9780898716429
Synopsis:
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.
About the Author: Charles L. Epstein is a Professor at the University of Pennsylvania with appointments in Mathematics and Radiology.
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Bibliographic Details
Title: Introduction to the Mathematics of Medical ...
Publisher: Society for Industrial and Applied Mathematics,U.S., US
Publication Date: 2007
Binding: Paperback
Condition: New
Edition: Second Edition.
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Introduction to the Mathematics of Medical Imaging
Published by
Society for Industrial and Applied Mathematics, 2007
ISBN 10: 089871642X
ISBN 13: 9780898716429
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Condition: good. This item is in overall good condition. Covers and dust jackets are intact but may have minor wear including slight curls or bends to corners as well as cosmetic blemishes including stickers. Pages are intact but may have minor highlighting writing. Binding is intact; however, spine may have slight wear overall. Digital codes may not be included and have not been tested to be redeemable and or active. Minor shelf wear overall. Please note that all items are donated goods and are in used condition. Orders shipped Monday through Friday! Your purchase helps put people to work and learn life skills to reach their full potential. Orders shipped Monday through Friday. Your purchase helps put people to work and learn life skills to reach their full potential. Thank you! Seller Inventory # 466TY8001TOC
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Introduction to the Mathematics of Medical Imaging
Published by
Society for Industrial and Applied Mathematic, 2007
ISBN 10: 089871642X
ISBN 13: 9780898716429
Used
Paperback
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
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Paperback. Condition: Fair. No Jacket. Former library book; Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G089871642XI5N10
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Introduction to the Mathematics of Medical Imaging
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Kartoniert / Broschiert. Condition: New. 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. Seller Inventory # 735470357
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Introduction to the Mathematics of Medical Imaging
Published by
Society for Industrial and Applied Mathematics (SIAM), 2007
ISBN 10: 089871642X
ISBN 13: 9780898716429
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Softcover
Seller: GoldBooks, Denver, CO, U.S.A.
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Condition: new. Seller Inventory # 46F91_69_089871642X