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DK1212_title 6/10/05 9:46 AM Page 1 Medical Image Processing, Reconstruction and Restoration Concepts and Methods Jirˇí Jan Boca Raton London New York Singapore A CRC title, part of the Taylor & Francis imprint, a member of the Taylor & Francis Group, the academic division of T&F Informa plc. © 2006 by Taylor & Francis Group, LLC DK1212_series.qxd 6/10/05 9:52 AM Page 1 Signal Processing and Communications Editorial Board Maurice G. Bellanger, Conservatoire National des Arts et Métiers (CNAM), Paris Ezio Biglieri,Politecnico di Torino, Italy Sadaoki Furui, Tokyo Institute of Technology Yih-Fang Huang,University of Notre Dame Nikil Jayant, Georgia Institute of Technology Aggelos K. Katsaggelos, Northwestern University Mos Kaveh, University of Minnesota P. K. Raja Rajasekaran, Texas Instruments John Aasted Sorenson, IT University of Copenhagen 1. Digital Signal Processing for Multimedia Systems, edited by Keshab K. Parhi and Takao Nishitani 2. Multimedia Systems, Standards, and Networks, edited by Atul Puri and Tsuhan Chen 3. Embedded Multiprocessors: Scheduling and Synchronization, Sundararajan Sriram and Shuvra S. Bhattacharyya 4. Signal Processing for Intelligent Sensor Systems, David C. Swanson 5. Compressed Video over Networks, edited by Ming-Ting Sun and Amy R. Reibman 6. Modulated Coding for Intersymbol Interference Channels, Xiang-Gen Xia 7. Digital Speech Processing, Synthesis, and Recognition: Second Edition, Revised and Expanded, Sadaoki Furui 8. Modern Digital Halftoning, Daniel L. Lau and Gonzalo R. Arce 9. Blind Equalization and Identification, Zhi Ding and Ye (Geoffrey) Li 10. Video Coding for Wireless Communication Systems, King N. Ngan, Chi W. Yap, and Keng T. Tan 11. Adaptive Digital Filters: Second Edition, Revised and Expanded, Maurice G. Bellanger 12. Design of Digital Video Coding Systems, Jie Chen, Ut-Va Koc, and K. J. Ray Liu 13. Programmable Digital Signal Processors: Architecture, Programming, and Applications, edited by Yu Hen Hu 14. Pattern Recognition and Image Preprocessing: Second Edition, Revised and Expanded, Sing-Tze Bow 15. Signal Processing for Magnetic Resonance Imaging and Spectroscopy, edited by Hong Yan © 2006 by Taylor & Francis Group, LLC DK1212_series.qxd 6/10/05 9:52 AM Page 2 16. Satellite Communication Engineering, Michael O. Kolawole 17. Speech Processing: A Dynamic and Optimization-Oriented Approach, Li Deng 18. Multidimensional Discrete Unitary Transforms: Representation: Partitioning and Algorithms, Artyom M. Grigoryan, Sos S. Agaian, S.S. Agaian 19. High-Resolution and Robust Signal Processing, Yingbo Hua, Alex B. Gershman and QiCheng 20. Domain-Specific Processors: Systems, Architectures, Modeling, and Simulation, Shuvra Bhattacharyya; Ed Deprettere; Jurgen Teich 21. Watermarking Systems Engineering: Enabling Digital Assets Security and Other Applications, Mauro Barni, Franco Bartolini 22. Biosignal and Biomedical Image Processing: MATLAB-Based Applications, John L. Semmlow 23. Broadband Last Mile Technologies: Access Technologies for Multimedia Communications, edited by Nikil Jayant 24. Image Processing Technologies: Algorithms, Sensors, and Applications, edited by Kiyoharu Aizawa, Katsuhiko Sakaue and Yasuhito Suenaga 25. Medical Image Processing, Reconstruction and Restoration: Concepts and Methods, Jirˇí Jan 26. Multi-Sensor Image Fusion and Its Applications, edited by Rick Blum and Zheng Liu 27. Advanced Image Processing in Magnetic Resonance Imaging, edited by Luigi Landini, Vincenzo Positano and Maria Santarelli © 2006 by Taylor & Francis Group, LLC DK1212_Discl.fm Page 1 Friday, September 30, 2005 8:00 AM Published in 2006 by CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2006 by Taylor & Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group No claim to original U.S. Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number-10: 0-8247-5849-8 (Hardcover) International Standard Book Number-13: 978-0-8247-5849-3 (Hardcover) Library of Congress Card Number 2004063503 This book contains information obtained from authentic and highly regarded sources. Reprinted material is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable efforts have been made to publish reliable data and information, but the author and the publisher cannot assume responsibility for the validity of all materials or for the consequences of their use. No part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information storage or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copyright.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC) 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that provides licenses and registration for a variety of users. For organizations that have been granted a photocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Library of Congress Cataloging-in-Publication Data Jan, Jirí. Medical image processing, reconstruction and restoration : concepts and methods / by Jirí Jan. p . cm. -- (Signal processing and communications ; 24) Includes bibliographical references and index. ISBN 0-8247-5849-8 (alk. paper) 1. Diagnostic imaging--Digital techniques. I. Title. II. Series. RC78.7.D53J36 2005 616.07'54--dc22 2004063503 Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com Taylor & Francis Group and the CRC Press Web site at is the Academic Division of Informa plc. http://www.crcpress.com © 2006 by Taylor & Francis Group, LLC DK1212_C000.fm Page v Monday, October 3, 2005 4:56 PM Preface Beginning with modest initial attempts in roughly the 1960s, digital image processing has become a recognized field of science, as well as a broadly accepted methodology, to solve practical problems in many different kinds of human activities. The applications encom- pass an enormous range, starting perhaps with astronomy, geology, and physics, via medical, biological, and ecological imaging and technological exploitation, up to the initially unexpected use in humane sciences, e.g., archaeology or art history. The results obtained in the area of digital image acquisition, synthesis, process- ing, and analysis are impressive, though it is often not generally known that digital methods have been applied. The basic concepts and theory are, of course, common to the spectrum of applications, but some aspects are more emphasized and some less in each par- ticular application field. This book, besides introducing general prin- ciples and methods, concentrates on applications in the field of medical imaging, which is specific for at least two features: biomed- ical imaging often concerns internal structures of living organisms inaccessible to standard imaging methods, and the resulting images are observed, evaluated, and classified mostly by nontechnically oriented staff. v © 2006 by Taylor & Francis Group, LLC DK1212_C000.fm Page vi Monday, October 3, 2005 4:56 PM vi Jan The first feature means that rather specific imaging methods, namely, tomographic modalities, had to be developed that are entirely dependent on digital processing of measured preimage data and that utilize rather sophisticated theoretical backgrounds stem- ming from the advanced signal theory. Therefore, development of new or innovated image processing approaches, as well as interpre- tation of more complicated or unexpected results, requires a deep understanding of the underlying theory and methods. Excellent theoretical books on general image processing meth- ods are available, some of them mentioned in references. In the area of medical imaging, many books oriented toward individual clinical branches have been published, mostly with medically inter- preted case studies. Technical publications on modality-oriented specialized methods are frequent, either as original journal papers and conference proceedings or as edited books, contributed to by numerous specialized authors and summarizing recent contribu- tions to a particular field of medical image processing. However, there may be a niche for books that would respect the particularities of biomedical orientation while still providing a consistent, theo- retically reasonably exact, and yet comprehensible explanation of the underlying theoretical concepts and principles of methods of image processing as applied in the broad medical field and other application fields. This book is intended as an attempt in this direction. It is the author’s persuasion that a good understanding of concepts and prin- ciples forms a necessary basis to any valid methodology and solid application. It is relatively easy to continue studying and even designing specialized advanced approaches with such a background; on the other hand, it is extremely difficult to grasp a sophisticated method without well understanding the underlying concepts. Inves- tigating a well-defined theory from the background also makes the study enjoyable; even this aspect was in the foundation of the con- cept of the book. This is a book primarily for a technically oriented audience, e.g., staff members from the medical environment, interdisciplinary experts of different (not necessarily only biomedical) orientations, and graduate and postgraduate engineering students. The purpose of the book is to provide insight; this determines the way the material is treated: the rigorous mathematical treatment—definition, lemma, proof — has been abandoned in favor of continuous explanation, in which most results and conclusions are consistently derived, though the derivation is contained (and sometimes perhaps even hidden) © 2006 by Taylor & Francis Group, LLC DK1212_C000.fm Page vii Monday, October 3, 2005 4:56 PM Preface vii in the text. The aim is that the reader becomes familiar with the explained concepts and principles, and acquires the idea of not only believing the conclusions, but also checking and interpreting every result himself, though perhaps with informal reasoning. It is also important that all the results would be interpreted in terms of their “physical” meaning. This does not mean that they be related to a concrete physical parameter, but rather that they are reasonably inter- preted with the purpose of the applied processing in mind, e.g., in terms of information or spectral content. The selection of the material in the book was based on the idea of including the established back- ground without becoming mathematically or theoretically superficial, while possibly eliminating unnecessary details or too specialized infor- mation that, moreover, may have a rather time-limited validity. Though the book was primarily conceived with the engineering community of readers in mind, it should not be unreadable to tech- nically inclined biomedical experts. It is, of course, possible to suc- cessfully exploit the image processing methods in clinical practice or scientific research without becoming involved in the processing principles. The implementation of imaging modalities must be adapted to this standard situation by providing an environment in which the nontechnical expert would not feel the image processing to be a strange or even hostile element. However, the interpretation of the image results, namely, in more involved cases, as well as the indication of suitable image processing procedures under more com- plex circumstances, may be supported by the user’s understanding of the processing concepts. It is therefore a side ambition of this book to be comprehensible enough to enable appreciation of the principles, perhaps without derivations, even by a differently ori- ented expert, should he be interested. It should also be stated what the book is not intended to be. It does not discuss the medical interpretation of the image results; no casuistic analysis is included. Concerning the technical contents, it is also not a theoretical in-depth monograph on a highly special- ized theme that would not be understandable to a technically or mathematically educated user of the imaging methods or a similarly oriented graduate student; such specialized publications may be found among the references. Finally, while the book may be helpful even as a daily reference to concepts and methods, it is not a manual on application details and does not refer to any particular program, system, or implementation. The content of the book has been divided into three parts. The first part, “Images as Multidimensional Signals,” provides the © 2006 by Taylor & Francis Group, LLC DK1212_C000.fm Page viii Monday, October 3, 2005 4:56 PM viii Jan introductory chapters on the basic image processing theory. The second part, “Imaging Systems as Data Sources,” is intended as an alternative view on the imaging modalities. While the physical principles are limited to the extent necessary to explain the imag- ing properties, the emphasis is put on analyzing the internal signals and (pre)image data that are to be consequently processed. With respect to this goal, the technological solutions and details of the imaging systems are also omitted. The third part, “Image Processing and Analysis,” starts with tomographic image recon- struction, which is of fundamental importance in medical imaging. Another topical theme of medical imaging is image fusion, includ- ing multimodal image registration. Further, methods of image enhancement and restoration are treated in individual chapters. The next chapter is devoted to image analysis, including segmen- tation, as a preparation for diagnostics. The concluding chapter, on the image processing environment, briefly comments on hard- ware and software exploited in medical imaging and on processing aspects of image archiving and communication, including princi- ples of image data compression. With respect to the broad spectrum of potential readers, the book was designed to be as self-contained as possible. Though back- ground in signal theory would be advantageous, it is not necessary, as the basic terms are briefly explained where needed. Each part of the book is provided with a list of references, containing the literature used as sources or recommended for further study. Cita- tion of numerous original works, though their influence and contri- bution to the medical imaging field are highly appreciated, was mostly avoided as superfluous in this type of book, unless these works served as immediate sources or examples. The author hopes that (in spite of some ever-present oversights and omissions) the reader will find the book’s content to be consistent and interesting, and studying it intellectually rewarding. If the basic knowledge contained within becomes a key to solving practical appli- cation problems and to informed interpretation of results, or a start- ing point to investigating more advanced approaches and methods, the book’s intentions will have been fulfilled. Jir˘í Jan Brno, Czech Republic © 2006 by Taylor & Francis Group, LLC DK1212_C000.fm Page ix Monday, October 3, 2005 4:56 PM Acknowledgments This book is partly based on courses on basic and advanced digital image processing methods, offered for almost 20 years to graduate and Ph.D. students of electronics and informatics at Brno University of Technology. A part of these courses has always been oriented toward biomedical applications. Here I express thanks to all colleagues and students, with whom discussions often led to a better view of indi- vidual problems. In this respect, the comments of the book reviewer, Dr. S.M. Krishnan, Nanyang Technological University Singapore, have also been highly appreciated. Most of medical images presented as illustrations or used as material in the derived figures have been kindly provided by the coop- erating hospitals and their staffs: the Faculty Hospital of St. Anne Brno (Assoc. Prof. P. Krupa, M.D., Ph.D.), the Faculty Hospital Brno-Bohu- nice (Assoc. Prof. J. Prasek, M.D., Ph.D.; Assoc. Prof. V. Chaloupka, M.D., Ph.D., Assist. Prof. R. Gerychova, M.D.), Masaryk Memorial Cancer Institute Brno (Karel Bolcak, M.D.), Institute of Scientific Instruments, Academy of Sciences of the Czech Republic (Assoc. Prof. M. Kasal, Ph.D.), and Brno University of Technology (Assoc. Prof. A. Drastich, Ph.D., D. Janova, M.Sc.). Their courtesy is highly appreci- ated. Recognition notices are only placed with figures that contain ix © 2006 by Taylor & Francis Group, LLC DK1212_C000.fm Page x Monday, October 3, 2005 4:56 PM x Jan original medical images; they are not repeated with figures where these images serve as material to be processed or analyzed. Thanks also belong to former doctoral students V. Jan, Ph.D., and R. Jirik, Ph.D., who provided most of the drawn and derived-image figures. The book utilizes as illustrations of the described methods, among others, some results of the research conducted by the group headed by the author. Support of the related projects by grant no. 102/02/0890 of the Grant Agency of the Czech Republic, by grants no. CEZ MSM 262200011 and CEZ MS 0021630513 of the Ministry of Education of the Czech Republic, and also by the research centre grant 1M6798555601 is acknowledged. © 2006 by Taylor & Francis Group, LLC

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