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Introduction to the Mathematics of Medical Imaging

Introduction to the Mathematics of Medical Imaging Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Epstein (mathematics in radiology, U. of Pennsylvania) intends this book to be used for one- or two-semester courses at the advanced undergrad or beginning graduate level, for students seeking to use mathematical tools for modeling medical-imaging measurements, and to derive reconstruction algorithms used in imaging modalities. The author aims to make advanced topics more accessible to students of less formal mathematical backgrounds, though it is assumed the reader has an understanding of calculus, linear algebra and basic mathematical analysis. This second edition of a work originally published by Pearson Education, Inc. (2003) features new and updated content, including a chapter on magnetic resonance imaging, a revised section on the relationship between the continuum and discrete Fourier transforms, a new section on Grangreat's formula, and an improved description of the gridding method. Annotation ©2008 Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780898716429
Publisher:
Society for Industrial and Applied Mathematic
Subject:
Mathematics
Author:
Epstein, Charles L.
Subject:
Diagnostic Imaging
Subject:
Diagnosis
Publication Date:
November 2007
Binding:
Paperback
Language:
English
Illustrations:
Y
Pages:
796

Related Subjects

Arts and Entertainment » Art » General
Computers and Internet » Artificial Intelligence » Image Processing
Health and Self-Help » Health and Medicine » Diagnosis and Technologies
Health and Self-Help » Health and Medicine » Medical Specialties
Reference » Science Reference » Technology
Science and Mathematics » History of Science » General
Science and Mathematics » Mathematics » Applied

Introduction to the Mathematics of Medical Imaging
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Product details 796 pages Society for Industrial and Applied Mathematic - English 9780898716429 Reviews:
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