Understanding Phase Contrast MR Angiography A Practical Approach wit
Providing many unique MATLAB codes and functions throughout, this book covers the basics of Magnetic Resonance Imaging (MRI), leading to an in-depth understanding of the concepts and tools required for analysis and interpretation of Phase Contrast MR Angi
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Joseph Suresh Paul Subha Gouri Raveendran
Understanding Phase Contrast MR Angiography A Practical Approach with MATLAB Examples 123
SpringerBriefs in Electrical and Computer Engineering
More information about this series at http://www.springer.com/series/10059
Joseph Suresh Paul Subha Gouri Raveendran •
Understanding Phase Contrast MR Angiography A Practical Approach with MATLAB Examples
123
Joseph Suresh Paul Medical Image Computing and Signal Processing Group Indian Institute of Information Technology and Management-Kerala Trivandrum India
Subha Gouri Raveendran Medical Image Computing and Signal Processing Group Indian Institute of Information Technology and Management-Kerala Trivandrum India
Additional material to this book can be downloaded from http://extras.springer.com. ISSN 2191-8112 ISSN 2191-8120 (electronic) SpringerBriefs in Electrical and Computer Engineering ISBN 978-3-319-25481-4 ISBN 978-3-319-25483-8 (eBook) DOI 10.1007/978-3-319-25483-8 Library of Congress Control Number: 2015957051 © The Author(s) 2016 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. Printed on acid-free paper This Springer imprint is published by SpringerNature The registered company is Springer International Publishing AG Switzerland
Preface
This book discusses the basic concepts of MRI leading to PC-MRA. An intuitive understanding of PC-MRA concepts is provided through simulation techniques using the extended form of Bloch equation. For completeness, quantitative flow measuring techniques and post-processing using statistical models are also included as separate chapters. Implementation details of important techniques discussed in this book are provided in the form of MATLAB codes. PC-MRA is one of the non-contrast MRA techniques using the idea that blood flow velocities can be encoded by phase. This was first developed by Paul R. Moran in the early 1980s. Moran analyzed the phase effects on stationary and moving spins subjected to a pair of bipolar gradients. A stationary s
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