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The Essential Physics of Medical Imaging T H I R D E D I T I O N JERROLD T. BUSHBERG, PhD Clinical Professor of Radiology and Radiation Oncology University of California, Davis Sacramento, California J. ANTHONY SEIBERT, PhD Professor of Radiology University of California, Davis Sacramento, California EDWIN M. LEIDHOLDT JR, PhD Clinical Associate Professor of Radiology University of California, Davis Sacramento, California JOHN M. BOONE, PhD Professor of Radiology and Biomedical Engineering University of California, Davis Sacramento, California Executive Editor: Charles W. Mitchell Product Manager: Ryan Shaw Vendor Manager: Alicia Jackson Senior Manufacturing Manager: Benjamin Rivera Senior Marketing Manager: Angela Panetta Design Coordinator: Stephen Druding Production Service: SPi Global Copyright © 2012 by LIPPINCOTT WILLIAMS & WILKINS, a WOLTERS KLUWER business Two Commerce Square 2001 Market Street Philadelphia, PA 19103 USA LWW.com 2nd edition © 2002 by LIPPINCOTT WILLIAMS & WILKINS 1st edition © 1994 by LIPPINCOTT WILLIAMS & WILKINS All rights reserved. This book is protected by copyright. No part of this book may be reproduced in any form by any means, including photocopying, or utilized by any information storage and retrieval system without writ- ten permission from the copyright owner, except for brief quotations embodied in critical articles and reviews. Materials appearing in this book prepared by individuals as part of their official duties as U.S. government employees are not covered by the above-mentioned copyright. Printed in China Library of Congress Cataloging-in-Publication Data Bushberg, Jerrold T. The essential physics of medical imaging / Jerrold T. Bushberg. — 3rd ed. p. ; cm. Includes bibliographical references and index. ISBN 978-0-7817-8057-5 1. Diagnostic imaging. 2. Medical physics. I. Title. [DNLM: 1. Diagnostic Imaging—methods. WN 200] RC78.7.D53E87 2011 616.07'54—dc22 2011004310 Care has been taken to confirm the accuracy of the information presented and to describe generally accepted practices. However, the authors, editors, and publisher are not responsible for errors or omissions or for any consequences from application of the information in this book and make no warranty, expressed or implied, with respect to the currency, completeness, or accuracy of the contents of the publication. Application of the information in a particular situation remains the professional responsibility of the practitioner. The authors, editors, and publisher have exerted every effort to ensure that drug selection and dosage set forth in this text are in accordance with current recommendations and practice at the time of publication. However, in view of ongoing research, changes in government regulations, and the constant flow of information relating to drug therapy and drug reactions, the reader is urged to check the package insert for each drug for any change in indications and dosage and for added warnings and precautions. This is particularly important when the recommended agent is a new or infrequently employed drug. Some drugs and medical devices presented in the publication have Food and Drug Administration (FDA) clearance for limited use in restricted research settings. It is the responsibility of the health care provider to ascertain the FDA status of each drug or device planned for use in their clinical practice. To purchase additional copies of this book, call our customer service department at (800) 638-3030 or fax orders to (301) 223-2320. International customers should call (301) 223-2300. Visit Lippincott Williams & Wilkins on the Internet: at LWW.com. Lippincott Williams & Wilkins customer service representatives are available from 8:30 am to 6 pm, EST. 10 9 8 7 6 5 4 3 2 1 First and foremost, I offer my most heartfelt love, appreciation and apology to my wife Lori and our children, Alex and Jennifer, who endured my many absences to focus on completing this text with “almost” infinite patience (especially during the last 4 months, when I was typically gone before they woke and got home long after they had gone to sleep). I look forward to spending much more time with my family and even to starting to make a dent in the list of “chores” my wife has been amassing in my absence. I have also had the good fortune to be supported by my extended family and my Oakshore neighbors who never missed an opportunity to offer an encouraging word after my response to their question “Is the book done yet?” Second, I would like to express my profound gratitude to my coauthors, colleagues, and friends Tony, Ed, and John for their herculean efforts to bring this 3rd edition into existence. Not only would this text not exist without them, but the synergy of their combined skills, expertise, and insights was an invaluable resource at every stage of development of this edition. We all have many more professional obligations now than during the writing of the previous editions. The willingness and ability of my coauthors to add another substantial com- mitment of time to their already compressed professional lives were truly remarkable and greatly appreciated. While all of my staff and colleagues have been very helpful and supportive during this effort (for which I am very grateful), two individuals deserve special recognition. Linda Kroger’s willingness to proof read several chapters for clarity along with the countless other ways she provided her support and assistance during this effort with her typical intelligent efficiency was invaluable and greatly appreciated. Lorraine Smith has been the coordinator of our annual radiology resident physics review course for as long as I can remember. This course would not be possible without her considerable contribution to its success. Lorraine is one of the most helpful, resourceful, patient, and pleasant individuals I have ever had the pleasure to work with. Her invaluable assistance with this course, from which this book was developed, is gratefully acknowledged and deeply appreciated. I would also like to thank our publisher Lippincott Williams and Wilkins, Charley Mitchell, Lisa McAllister, and in particular Ryan Shaw (our editor) for the opportunity to develop the 3rd edition. Your patience, support, and firm “encouragement” to complete this effort are truly appreciated. I dedicate this edition to my parents. My mother, Annette Lorraine Bushberg (1929–1981), had a gift for bringing out the best in me. She cheered my successes, reassured me after my failures, and was an unwavering source of love and support. My father, Norman Talmadge Bushberg, brightens everyone’s world with his effort- less wit and sense of humor. In addition to his ever present love and encouragement, which have meant more to me than I can find the words to fully express, he continues to inspire me with his belief in each person’s ability and responsibility to make a unique contribution. To that end, and at the age of 83, he recently published his first literary contribution, a children’s story entitled “Once Upon a Time in Kansas.” It is slightly lighter reading than our text and I highly recommend it. However, if getting your child to fall asleep is the problem, then any chapter in our book should do the trick. J.T.B. Thanks, TSPOON, for your perseverance, patience, and understanding in regard to your often AWOL dad during these past several years—it’s very gratifying to see you prosper in college, and maybe someday you will be involved in writing a book as well! And to you, Julie Rainwater, for adding more than you know to my well-being and happiness. J.A.S. To my family, especially my parents and my grandmother Mrs. Pearl Ellett Crowgey, and my teachers, especially my high school mathematics teacher Mrs. Neola Waller, and Drs. James L. Kelly, Roger Rydin, W. Reed Johnson, and Denny D. Watson of the University of Virginia. To two nuclear medicine physicists, Drs. Mark W. Groch and L. Stephen Graham, who contributed to earlier editions of this book, but did not live to see this edition. And to Jacalyn Killeen, who has shown considerable patience during the last year. E.M.L. Susan Fris Boone, my wife, makes life on this planet possible and her companionship and support have made my contribution to this book possible. Emily and Julian, children extraordinaire and both wild travelers of the world, have grown up using earlier editions of this book as paperweights, lampstands, and coasters. I appreciate the per- spective. Marion (Mom) and Jerry (Dad) passed in the last few years, but the support and love they bestowed on me over their long lives will never be forgotten. Sister Patt demonstrated infinite compassion while nurturing our parents during their final years and is an angel for all but the wings. Brother Bob is a constant reminder of dedica- tion to patient care, and I hope that someday he and I will both win our long-standing bet. Friends Steve and Susan have elevated the fun in life. My recent students, Nathan, Clare, Shonket, Orlando, Lin, Sarah, Nicolas, Anita, and Peymon have helped keep the flag of research flying in the laboratory, and I am especially in debt to Dr. Kai Yang and Mr. George Burkett who have helped hold it all together during my too frequent travel. There are many more to thank, but not enough ink. This book was first published in 1994, and over the many years since, I have had the privilege of sharing the cover credits with my coauthors and good friends Tony, Jerry, and Ed. This has been a wild ride and it would have been far less interesting if not shared with these tres amigos. J.M.B. Preface to the Third Edition The first edition of this text was written in 1993, and the second edition followed in 2002. This third edition, coming almost 10 years after the second edition, reflects the considerable changes that have occurred in medical imaging over the past decade. While the “digitization” of medical images outside of nuclear medicine began in ear- nest between the publication of the first and second editions, the transformation of medical imaging to an all-digital environment is largely complete at the time of this writing. Recognizing this, we have substantially reduced the treatment of analog mo- dalities in this edition, including only a short discussion on screen-film radiography and mammography, for example. Because the picture archiving and communication system (PACS) is now a concrete reality for virtually all radiological image interpre- tation, and because of the increasing integration between the radiology information systems (RISs), the PACS, and the electronic medical record (EMR), the informatics section has been expanded considerably. There is more to know now than 10 years ago, so we reduced some of the detail that existed in previous editions that may be considered nonessential today. Detailed discussions of x-ray tube heating and cooling charts, three-phase x-ray generator circuits, and CT generations have been shortened or eliminated. The cumulative radiation dose to the population of the United States from medi- cal imaging has increased about sixfold since 1980, and the use of unacceptably large radiation doses for imaging patients, including children, has been reported. In recent years, radiation dose from medical imaging and radiation therapy has become the focus of much media attention, with a number of radiologists, radiobiologists, and medical physicists testifying before the FDA and the U.S. Congress regarding the use of radiation in imaging and radiation therapy. The media attention has given rise to heightened interest of patients and regulatory agencies in the topics of reporting and optimizing radiation dose as well as limiting its potentially harmful biological effects. In this edition, we have added an additional chapter devoted to the topic of x-ray dose and substantially expanded the chapters on radiation biology and radia- tion protection. The current International Commission on Radiological Protection system of estimating the potential detriment (harm) to an irradiated population; the calculation of effective dose and its appropriate use; as well as the most recent National Academy of Sciences Biological Effects of Ionizing Radiation (BEIR VII) report recommended approach of computing radiation risk to a specific individual are dis- cussed in several chapters. Our publisher has indicated that the second edition was used by increasing num- bers of graduate students in medical imaging programs. While the target audience of this text is still radiologists-in-training, we have added appendices and other sections with more mathematical rigor than in past editions to increase relevance to scientists- in-training. The goal of providing physicians a text that describes image science and the radiological modalities in plain English remains, but this third edition contains an appendix on Fourier transforms and convolution, and Chapter 4 covers basic image science with some optional mathematics for graduate student readers and for radiologists with calculus-based undergraduate degrees. v vi Preface to the Third Edition A number of new technologies that were research projects 10 years ago have entered clinical use, and this edition discusses the more important of these: tomos- ynthesis in mammography, cone beam CT, changes in mammography anode com- position, the exposure index in radiography, flat panel fluoroscopy, rotational CT on fluoroscopy systems, iterative reconstruction in CT, and dual modality imaging systems such as PET/CT and SPECT/CT. Some new technologies offer the possibility of substantially reducing the radiation dose per imaging procedure. All of the authors of this book are involved in some way or another with national or international advisory organizations, and we have added some perspectives from published documents from the American Association of Physicists in Medicine, the National Council on Radiation Protection and Measurements, the International Com- mission on Radiation Units and Measurement, and others. Lastly, with the third edition we transition to color figures, tables, text headings, and photographs. Most of the figures are newly designed; some are colorized versions of figures from previous editions of the text. This edition has been completely rewrit- ten and a small percentage of the text remains as it was in previous editions. We hope that our efforts on this third edition bring this text to a completely up-to-date status and that we have captured the most important developments in the field of radiology so that the text remains current for several years to come. Foreword Dr. Bushberg and his coauthors have kept the title The Essential Physics of Medical Imaging for this third edition. While the first edition in 1994 contained the “ essentials,” by the time the second edition appeared in 2002, the book had expanded signifi- cantly and included not only physics but also a more in depth discussion of radiation protection, dosimetry, and radiation biology. The second edition became the “go to” reference book for medical imaging physics. While not light weekend reading, the book is probably the only one in the field that you will need on your shelf. Residents will be happy to know that the third edition contains the topics recommended by the AAPM and thus likely to appear on future examinations. Although there are shorter books for board review, those typically are in outline form and may not be sufficient for the necessary understanding of the topics. This book is the one most used by residents, medical imaging faculty, and physicists. On more than one occasion I have heard our university biomedical physicists ask, “What does Bushberg’s book say?” The attractive aspects of the book include its completeness, clarity, and ability to answer questions that I have. This is likely a consequence of the authors having run a resident review course for almost 30 years, during which they have undoubt- edly heard every question and point of confusion that a nonphysicist could possibly raise. I must say that on the door to my office I keep displayed a quote from the second edition: “Every day there is an alarming increase in the number of things I know nothing about.” Unfortunately, I find this true regarding many things besides medical physics. My only suggestion to the authors is that in subsequent editions they delete the word “Essentials” from the title, for that word does not do justice to the staggering amount of work they have done in preparing this edition’s remarkably clear text or to the 750+ illustrations that will continue to set the standard for books in this field. Fred A. Mettler Jr, MD, MPH Clinical and Emeritus Professor University of New Mexico School of Medicine vii Acknowledgments During the production of this work, several individuals generously gave their time and expertise. Without their help, this new edition would not have been possible. The authors would like to express their gratitude for the invaluable contributions of the following individuals: Craig Abbey, PhD Jiang Hsieh, PhD Fred A. Mettler Jr, MD, MPH University of California, Santa General Electric Medical Systems University of New Mexico Barbara School of Medicine Kiran Jain, MD Ramsey Badawi, PhD University of California, Davis Stuart Mirell, PhD University of California, Davis University of California at Los Willi Kalender, PhD Angeles John D. Boice Jr, ScD Institute of Medical Physics, Vanderbilt University Erlangen, Germany Norbert Pelc, ScD Vanderbilt-Ingram Cancer Stanford University Frederick W. Kremkau, PhD Center Wake Forest University School Otto G. Raabe, PhD Michael Buonocore, MD, PhD of Medicine University of California, Davis University of California, Davis Linda Kroger, MS Werner Roeck, Dipl Eng Dianna Cody, PhD University of California, Davis University of California, Irvine MD Anderson Cancer Center Health System John Sabol, PhD Michael Cronan, RDMS Ramit Lamba, MD General Electric Medical University of California, Davis University of California, Davis Systems Brian Dahlin, MD Karen Lindfors, MD D.K. Shelton, MD University of California, Davis University of California, Davis University fo California, Davis Robert Dixon, PhD Mahadevappa Mahesh, PhD Jeffrey Siewerdsen, PhD Wake Forest University Johns Hopkins University Johns Hopkins University Raymond Dougherty, MD Cynthia McCollough, PhD Michael G. Stabin, PhD University of California, Davis Mayo Clinic, Rochester Vanderbilt University Ken Eldridge, RT(R)(N) John McGahan, MD Steve Wilkendorf, RDMS University of California, Davis University of California, Davis William Erwin, MS UT MD Anderson Cancer Sarah McKenney Sandra Wootton-Gorges, MD Center Houston, TX University of California, Davis University of California, Davis Kathryn Held, PhD Michael McNitt-Gray, PhD Kai Yang, PhD Massachusetts General Hospital University of California. Los University of California, Davis Harvard Medical School Angeles viii Contents Preface to the Third Edition v Foreword vii Acknowledgements viii Section I: Basic Concepts ..........................................1 1 Introduction to Medical Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .3 1.1 The Modalities 3 1.2 Image Properties 15 2 Radiation and the Atom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .18 2.1 Radiation 18 2.2 Structure of the Atom 24 3 Interaction of Radiation with Matter . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .33 3.1 Particle Interactions 33 3.2 X-ray and Gamma-Ray Interactions 38 3.3 Attenuation of X-rays and Gamma Rays 44 3.4 Absorption of Energy from X-rays and Gamma Rays 52 3.5 Imparted Energy, Equivalent Dose, and Effective Dose 55 4 Image Quality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .60 4.1 Spatial Resolution 60 4.2 Convolution 65 4.3 Physical Mechanisms of Blurring 68 4.4 The Frequency Domain 69 4.5 Contrast Resolution 76 4.6 Noise Texture: The Noise Power Spectrum 86 4.7 Contrast 87 4.8 Contrast-to-Noise Ratio 91 4.9 Signal-to-Noise Ratio 91 4.10 Contrast-Detail Diagrams 92 4.11 Detective Quantum Efficiency 94 4.12 Receiver Operating Characteristic Curves 96 5 Medical Imaging Informatics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .101 5.1 Analog and Digital Representation of Data 101 5.2 Digital Radiological Images 109 5.3 Digital Computers 111 5.4 Information Storage Devices 112 5.5 Display of Digital Images 116 5.6 Computer Networks 133 5.7 PACS and Teleradiology 143 5.8 Image Processing 159 5.9 Security, Including Availablility 163 Section II: Diagnostic Radiology ..................................169 6 x-ray Production, x-ray Tubes, and x-ray Generators . . . . . . . . . . . . . . . .171 6.1 Production of X-rays 171 6.2 X-ray Tubes 176 6.3 X-ray Generators 190 6.4 Power Ratings and Heat Loading and Cooling 199 6.5 Factors Affecting X-ray Emission 202 7 Radiography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .207 7.1 Geometry of Projection Radiography 207 7.2 Screen-Film Radiography 209 ix

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