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MEDICAL
IMAGING PHYSICS
Fourth Edition
i
Medical Imaging Physics, Fourth Edition, by William R. Hendee and E. Russell Ritenour
ISBN: 0-471-38226-4 Copyright
C
2002 Wiley-Liss, Inc.
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MEDICAL
IMAGING PHYSICS
Fourth Edition
William R. Hendee, Ph.D.
Senior Associate Dean and Vice President
Dean of the Graduate School of Biomedical Sciences
Professor and Vice Chair of Radiology
Professor of Radiation Oncology, Biophysics, Bioethics
Medical College of Wisconsin
Professor of Biomedical Engineering
Marquette University
E. Russell Ritenour, Ph.D.
Professor and Chief of Radiology Physics, Medical School
Director of Graduate Studies in Biophysical Sciences and Medical
Physics, Graduate School
University of Minnesota
A JOHN WILEY & SONS, INC., PUBLICATION
iii
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This book is printed on acid-free paper.
∞
Copyright
C
2002 by Wiley-Liss, Inc., New York. All rights reserved.
Published simultaneously in Canada.
DISCLAIMER
While the authors, editors, and publisher believe that drug selection and dosage and the specification
and usage of equipment and devices, as set forth in this book, are in accord with current
recommendations and practice at the time of publication, they accept no legal responsibility for any
errors or omissions and make no warranty, express or implied, with respect to material contained herein.
In view of ongoing research, equipment modifications, changes in governmental regulations, and the
constant flow of information relating to drug therapy, drug reactions, and the use of equipment and
devices, the reader is urged to review and evaluate the information provided in the package insert or
instructions for each drug, piece of equipment, or device for, among other things, any changes in the
instructions or indication of dosage or usage and for added warnings and precautions.
No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or
by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as
permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior
written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to
the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400,
fax (978) 750-4744. Requests to the Publisher for permission should be addressed to the Permissions
Department, John Wiley & Sons, Inc., 605 Third Avenue, New York, NY 10158-0012, (212) 850-6011,
fax (212) 850-6008, E-Mail: PERMREQ @ WILEY.COM.
For ordering and customer service information please call 1-800-CALL-WILEY.
Library of Congress Cataloging-in-Publication Data is available.
ISBN 0-471-38226-4
Printed in the United States of America.
10987654321
iv
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Ad hoc, ad loc
and quid pro quo
so little time
so much to know.
Jeremy Hillary Boob, Ph.D.
The Nowhere Man in the Yellow Submarine
v
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CONTENTS IN BRIEF
PREFACE xv
PREFACE TO THE FIRST EDITION xvii
ACKNOWLEDGMENTS xix
1 IMAGING IN MEDICINE 1
2 STRUCTURE OF MATTER 11
3 RADIOACTIVE DECAY 27
4 INTERACTIONS OF RADIATION 45
5
PRODUCTION OF X RAYS 69
6 RADIATION QUANTITY AND QUALITY 91
7 INTERACTION OF X AND γ RAYS IN THE BODY 117
8
RADIATION DETECTORS FOR QUANTITATIVE
MEASUREMENT 127
9
ACCUMULATION AND ANALYSIS
OF NUCLEAR DATA 143
10 COMPUTERS AND IMAGE NETWORKING 161
11 PROBABILITY AND STATISTICS 179
12 INSTRUMENTATION FOR NUCLEAR IMAGING 197
13 RADIOGRAPHY 217
14 FLUOROSCOPY 235
15 COMPUTED TOMOGRAPHY 251
16 INFLUENCES ON IMAGE QUALITY 265
17 ANALYTIC DESCRIPTION OF IMAGE QUALITY 281
18 VISUAL PERCEPTION 289
19 ULTRASOUND WAVES 303
20 ULTRASOUND TRANSDUCERS 317
21 ULTRASOUND INSTRUMENTATION 331
22
DOPPLER EFFECT 343
23 FUNDAMENTALS OF MAGNETIC RESONANCE 355
24 MAGNETIC RESONANCE IMAGING
AND SPECTROSCOPY 367
25 MAGNETIC RESONANCE IMAGING:
INSTRUMENTATION, BIOEFFECTS, AND
SITE PLANNING 389
26 EXPERIMENTAL RADIOBIOLOGY 403
27 HUMAN RADIOBIOLOGY 413
28 PROTECTION FROM EXTERNAL SOURCES
OF RADIATION 435
29 PROTECTION FROM INTERNAL SOURCES
OF RADIATION 455
30
FUTURE DEVELOPMENTS IN MEDICALIMAGING 467
APPENDIX I REVIEW OF MATHEMATICS 477
APPENDIX II FOURIER TRANSFORM 483
APPENDIX III MULTIPLES AND PREFIXES 485
APPENDIX IV MASSES IN ATOMIC MASS UNITS FOR NEUTRAL
ATOMS OF STABLE NUCLIDES AND A FEW UNSTABLE
NUCLIDES 487
ANSWERS TO SELECTED PROBLEMS 491
INDEX 495
vii
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CONTENTS
PREFACE xv
PREFACE TO THE FIRST EDITION xvii
ACKNOWLEDGMENTS xix
1 IMAGING IN MEDICINE 1
OBJECTIVES 2
INTRODUCTION 2
CONCLUSIONS
9
REFERENCES 9
2 STRUCTURE OF MATTER 11
OBJECTIVES
12
THE ATOM 12
SOLIDS 17
SUPERCONDUCTIVITY 18
THE NUCLEUS
19
NUCLEAR FISSION AND FUSION 21
NUCLEAR SPIN AND NUCLEAR MAGNETIC MOMENTS 22
NUCLEAR NOMENCLATURE
23
PROBLEMS 23
SUMMARY 24
REFERENCES 25
3 RADIOACTIVE DECAY 27
OBJECTIVES
28
NUCLEAR STABILITY AND DECAY 28
ALPHA DECAY 29
DECAY SCHEMES 29
BETA DECAY 30
ISOMERIC TRANSITIONS 33
MATHEMATICS OF RADIOACTIVE DECAY 33
DECAY EQUATIONS AND HALF-LIFE
35
TRANSIENT EQUILIBRIUM 37
ARTIFICIAL PRODUCTION OF RADIONUCLIDES 39
MATHEMATICS OF NUCLIDE PRODUCTION BY NEUTRON
BOMBARDMENT
40
INFORMATION ABOUT RADIOACTIVE NUCLIDES 41
PROBLEMS 41
SUMMARY
42
REFERENCES
43
4 INTERACTIONS OF RADIATION 45
OBJECTIVES 46
CHARACTERISTICS OF INTERACTIONS 46
DIRECTLY IONIZING RADIATION 46
INTERACTIONS OF ELECTRONS
48
INTERACTIONS OF HEAVY, CHARGED PARTICLES 50
INDIRECTLY IONIZING RADIATION 50
INTERACTIONS OF NEUTRONS
50
ATTENUATION OF X AND γ RADIATION 51
NONIONIZING RADIATION
64
INTERACTIONS OF NONIONIZING ELECTROMAGNETIC
RADIATION
66
PROBLEMS 67
SUMMARY
67
REFERENCES
68
5 PRODUCTION OF X RAYS 69
OBJECTIVES 70
INTRODUCTION 70
CONVENTIONAL X-RAY TUBES 70
ELECTRON SOURCE 70
TUBE VOLTAGE AND VOLTAGE WAVEFORMS 71
ix
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x
❘
CONTENTS
RELATIONSHIP BETWEEN FILAMENT CURRENT AND TUBE
CURRENT
73
EMISSION SPECTRA
73
FILTRATION 74
TUBE VACUUM 79
ENVELOPE AND HOUSING
79
SPECIAL-PURPOSE X-RAY TUBES 81
RATINGS FOR X-RAY TUBES 82
PROBLEMS 88
SUMMARY 88
REFERENCES 89
6 RADIATION QUANTITY AND QUALITY 91
OBJECTIVES 92
INTENSITY 92
TRADITIONAL VERSUS SYST
`
EME INTERNATIONAL
UNITS
94
RADIATION EXPOSURE 95
UNITS OF RADIATION DOSE 98
DOSE EQUIVALENT
100
MEASUREMENT OF RADIATION DOSE 102
HALF-VALUE LAYER 111
VARIATION IN QUALITY ACROSS AN X-RAY BEAM 112
SPECTRAL DISTRIBUTION OF AN X-RAY BEAM 113
PROBLEMS
113
SUMMARY 114
REFERENCES 115
7 INTERACTION OF X AND γ RAYS
IN THE BODY 117
OBJECTIVES 118
INTRODUCTION
118
F FACTOR
118
ATTENUATION OF X AND γ RAYS
IN TISSUE
119
DOSE TO SOFT TISSUE BEYOND BONE 121
HIGH-VOLTAGE RADIOGRAPHY 122
LOW-VOLTAGE RADIOGRAPHY 122
CONTRAST MEDIA 123
PROBLEMS 125
SUMMARY
125
REFERENCES 125
8 RADIATION DETECTORS FOR QUANTITATIVE
MEASUREMENT 127
OBJECTIVES 128
IONIZATION CHAMBERS
128
PROPORTIONAL COUNTERS
131
GEIGER–M
¨
ULLER TUBES 132
SOLID SCINTILLATION DETECTORS 134
LIQUID SCINTILLATION DETECTORS 136
SEMICONDUCTOR RADIATION DETECTORS
138
PROBLEMS
140
SUMMARY 140
REFERENCES 141
9 ACCUMULATION AND ANALYSIS
OF NUCLEAR DATA 143
OBJECTIVES 144
INTRODUCTION 144
COUNTING SYSTEMS 144
DETERMINATE ERRORS IN RADIOACTIVITY
MEASUREMENTS
149
GAMMA-RAY SPECTROMETRY 152
PULSE HEIGHT SPECTRA
152
PHOTOPEAK COUNTING 156
RADIOACTIVE AGENTS FOR CLINICAL STUDIES 157
PROBLEMS
158
SUMMARY 159
REFERENCES 160
10 COMPUTERS AND IMAGE NETWORKING 161
OBJECTIVES
162
HISTORY 162
MACHINE REPRESENTATION OF DATA 163
COMPUTER SYSTEM HARDWARE 168
SOFTWARE 173
NETWORKING 173
PROBLEMS 177
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CONTENTS
❘
xi
SUMMARY
177
REFERENCES 178
11 PROBABILITY AND STATISTICS 179
OBJECTIVES 180
INTRODUCTION 180
NATURE OF ERROR
180
PROBABILITY DISTRIBUTIONS 181
SIGNAL AND NOISE 183
METHODS TO DESCRIBE PROBABILITY DISTRIBUTIONS
184
PROPAGATION OF ERROR
188
OTHER METHODS FOR DESCRIBING PRECISION 190
SELECTED STATISTICAL TESTS 192
SUMMARY 195
PROBLEMS
195
REFERENCES 195
12 INSTRUMENTATION FOR NUCLEAR IMAGING 197
OBJECTIVES 198
INTRODUCTION
198
MEASUREMENT OF ACCUMULATION AND EXCRETION
RATES
198
SINGLE-CRYSTAL SCINTILLATION CAMERA
201
PRINCIPLES OF SCINTILLATION CAMERA OPERATION 202
MULTIPLE-CRYSTAL SCINTILLATION CAMERA 209
SOLID-STATE CAMERA
209
RECTILINEAR SCANNER 210
EMISSION COMPUTED TOMOGRAPHY 210
PROBLEMS
214
SUMMARY 215
REFERENCES 215
13 RADIOGRAPHY 217
OBJECTIVES 218
X-RAY FILM 218
INTENSIFYING SCREENS 223
RADIOGRAPHIC GRIDS 226
MAGNIFICATION RADIOGRAPHY 229
DIGITAL RADIOGRAPHY
230
PROBLEMS 233
SUMMARY 234
REFERENCES 234
14 FLUOROSCOPY 235
OBJECTIVES 236
FLUOROSCOPY AND IMAGE INTENSIFICATION
236
TELEVISION DISPLAY OF THE FLUOROSCOPIC IMAGE
241
DIGITAL FLUOROSCOPY 244
AUTOMATIC BRIGHTNESS CONTROL 245
CINEFLUOROGRAPHY
247
PROBLEMS
248
SUMMARY
249
REFERENCES 249
15 COMPUTED TOMOGRAPHY 251
OBJECTIVES 252
INTRODUCTION
252
HISTORY 252
PRINCIPLE OF COMPUTED TOMOGRAPHIC IMAGING
253
RECONSTRUCTION ALGORITHMS 254
SCAN MOTIONS 255
X-RAY SOURCES
258
COLLIMATION 258
X-RAY DETECTORS 258
VIEWING SYSTEMS
258
PATIENT DOSE 259
QUALITY CONTROL 260
SUMMARY 262
PROBLEMS 262
REFERENCES
262
16 INFLUENCES ON IMAGE QUALITY 265
OBJECTIVES 266
INTRODUCTION 266
UNSHARPNESS 266
CONTRAST 270
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xii
❘
CONTENTS
IMAGE NOISE
274
IMAGE DISTORTION AND ARTIFACTS 276
SUMMARY 278
PROBLEMS 278
REFERENCES
279
17 ANALYTIC DESCRIPTION OF IMAGE QUALITY 281
OBJECTIVES 282
INTRODUCTION 282
POINT RESPONSE 282
LINE RESPONSE 282
CONTRAST RESPONSE 283
MODULATION TRANSFER FUNCTION 284
QUANTUM LEVELS AND CONVERSION EFFICIENCIES
286
SUMMARY
286
PROBLEMS 287
REFERENCES 287
18 VISUAL PERCEPTION 289
OBJECTIVES 290
INTRODUCTION 290
HUMAN VISION 292
DETECTION OF VISUAL INFORMATION
295
VISUAL ACUITY
296
CONTRAST DISCRIMINATION 296
RECOGNITION AND INTERPRETATION OF VISUAL
INFORMATION
298
EXPRESSIONS OF VISUAL PERFORMANCE 298
SUMMARY 300
PROBLEMS
301
REFERENCES 301
19 ULTRASOUND WAVES 303
OBJECTIVES 304
INTRODUCTION 304
HISTORY 304
WAVE MOTION
304
WAVE CHARACTERISTICS 305
ULTRASOUND INTENSITY 306
ULTRASOUND VELOCITY 307
ATTENUATION OF ULTRASOUND
308
REFLECTION 311
REFRACTION 313
ABSORPTION 314
SUMMARY
315
PROBLEMS 316
REFERENCES 316
20 ULTRASOUND TRANSDUCERS 317
OBJECTIVES
318
INTRODUCTION 318
PIEZOELECTRIC EFFECT 318
TRANSDUCER DESIGN 319
FREQUENCY RESPONSE OF TRANSDUCERS
320
ULTRASOUND BEAMS
321
PROBLEMS
329
SUMMARY 329
REFERENCES 329
21 ULTRASOUND INSTRUMENTATION 331
OBJECTIVES 332
PRESENTATION MODES 332
TIME REQUIRED TO OBTAIN IMAGES
333
SYSTEM COMPONENTS 335
SIGNAL PROCESSING 335
DYNAMIC RANGE 337
ULTRASOUND IMAGE ARTIFACTS
338
QUALITY CONTROL 338
PROBLEMS 340
SUMMARY
341
REFERENCES 341
22 DOPPLER EFFECT 343
OBJECTIVES 344
ORIGIN OF DOPPLER SHIFT 344
LIMITATIONS OF DOPPLER SYSTEMS
351
PROBLEMS 352
SUMMARY 352
REFERENCES 353
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CONTENTS
❘
xiii
23
FUNDAMENTALS OF MAGNETIC RESONANCE 355
OBJECTIVES 356
INTERACTION OF NUCLEI WITH A STATIC MAGNETIC
FIELD
356
ROTATION AND PRECESSION
356
INTERACTION OF NUCLEI WITH A RADIO FREQUENCY WAVE:
NUTATION
357
INDUCTION OF A MAGNETIC RESONANCE SIGNAL
IN A COIL
358
QUANTUM MECHANICAL INTERPRETATION 359
BULK MAGNETIZATION 360
RELAXATION PROCESSES: T1 AND T2 361
RELAXATION TIMES (T1 AND T2) FOR BIOLOGIC
MATERIALS
363
PROBLEMS 364
SUMMARY
364
REFERENCES 364
24 MAGNETIC RESONANCE IMAGING
AND SPECTROSCOPY 367
OBJECTIVES
368
OVERVIEW: MAGNETIC RESONANCE AS A PROBE
OF THE BODY
368
PULSE SEQUENCES
368
SPATIAL ENCODING OF MAGNETIC RESONANCE IMAGING
SIGNAL
370
MOTION SUPPRESSION TECHNIQUES 374
CONTRAST AGENTS 376
TISSUE CONTRAST IN MAGNETIC RESONANCE IMAGING 377
MR ANGIOGRAPHY 380
SPECTROSCOPY
380
CHEMICAL SHIFT IMAGING 383
PROBLEMS 384
SUMMARY
384
REFERENCES 385
25 MAGNETIC RESONANCE IMAGING:
INSTRUMENTATION, BIOEFFECTS, AND
SITE PLANNING 389
OBJECTIVES 390
MAIN SYSTEM MAGNET 390
GRADIENT MAGNETIC FIELDS 391
RADIO-FREQUENCY COILS
391
ELECTRONIC COMPONENTS 392
COMPUTER 393
ARTIFACTS
393
QUALITY ASSURANCE
395
BIOEFFECTS 395
SITE PLANNING 398
SUMMARY 400
REFERENCES 401
26 EXPERIMENTAL RADIOBIOLOGY 403
OBJECTIVES 404
INTRODUCTION 404
INTERACTIONS AT THE CELL AND TISSUE LEVELS 405
CELL SURVIVAL STUDIES
405
MODIFICATION OF CELLULAR RESPONSES
406
ANIMAL STUDIES 409
CONCLUSIONS 411
REFERENCES 411
27 HUMAN RADIOBIOLOGY 413
OBJECTIVES 414
STOCHASTIC EFFECTS OF RADIATION 414
NONSTOCHASTIC EFFECTS OF RADIATION
414
DOSIMETRY IN INDIVIDUALS AND POPULATIONS 416
BACKGROUND RADIATION
417
HUMAN POPULATIONS THAT HAVE BEEN EXPOSED
TO UNUSUAL LEVELS OF RADIATION
419
DOSE-EFFECT MODELS 423
FACTORS THAT INFLUENCE DOSE–EFFECT MODELS
425
ESTIMATING RISKS OF RADIATION: BEIR REPORT 426
SOURCES OF INFORMATION 429
SUMMARY 431
REFERENCES 431
28 PROTECTION FROM EXTERNAL SOURCES
OF RADIATION 435
OBJECTIVES 436
REGULATORY AUTHORITY FOR RADIATION
PROTECTION
437
[...]... of medicalimaging In recognition of these challenges, the authors decided two years ago to restructure MedicalImagingPhysics into a fourth edition with a fresh approach and an entirely new format This decision led to a total rewriting of the text We hope that this new edition will make studying imagingphysics more efficient, effective, and pleasurable It certainly has made writing it more fun Medical. .. PB130-Hendee January 30, 2003 17:13 C H A P T E R 1 IMAGING IN MEDICINE OBJECTIVES 2 INTRODUCTION 2 Advances in MedicalImaging 4 Evolutionary Developments in Imaging 5 Molecular Medicine 5 Historical Approaches to Diagnosis 6 Capsule History of MedicalImaging 7 Introduction of Computed Tomography 8 CONCLUSIONS 9 REFERENCES 9 MedicalImaging Physics, Fourth Edition, by William R Hendee and E Russell Ritenour... development of imaging methods r Molecular biology and genetics are new frontiers for imaging technologies r Introduction of x-ray computed tomography was a signal event in the evolution of medicalimaging ❘ REFERENCES ❘ 1 Hendee, W R Physics and applications of medicalimaging Rev Mod Phys 1999; 71(2), Centenary:S444–S450 2 Beck, R N Tying Science and Technology Together in Medical Imaging, in Hendee,... of imaging science is at the molecular and genetic levels It is wrong to think that the task of physics is to find out what nature is Physics concerns what we can say about nature.” Niels Bohr (as quoted in Pagels, H., The Cosmic Code, Simons and Schuster, 1982.) CONCLUSIONS r Medicalimaging is both a science and a tool to explore human anatomy and to study physiology and biochemistry r Medical imaging. .. to be a co-author He was equally willing to co-author this 4th edition Future editions will bear his imprint as principal author of MedicalImagingPhysics Several other persons deserve recognition for their support of this project Foremost are Ms Terri Komar and Ms Mary Beth Drapp, both of whom have been instrumental in moving the fourthedition to completion Terri worked with me as Executive Assistant... 2002 18:17 IMAGING IN MEDICINE OBJECTIVES After completing this chapter, the reader should be able to: r Identify the energy sources, tissue properties, and image properties employed in medicalimaging r Name several factors influencing the increasing role of imaging in healthcare today r Define the expression “molecular medicine” and give examples r Provide a summary of the history of medicalimaging r... this capability In medicine, their use in association with imaging technologies greatly enhances the potential contribution of medicalimaging to resolution of patient problems in the clinical setting At the beginning of the twenty-first century, the six evolutionary developments discussed above provide the framework for major advances in medicalimaging and its contributions to improvements in the health... demands that medicalimaging expand its focus from the organ and tissue levels to the cellular and molecular levels of human disease and injury Many scientists believe that medicalimaging is well-positioned today to experience this expanded focus as a benefit of knowledge gained at the research frontiers of molecular biology and genetics This benefit is often characterized as the entry of medical imaging. .. knowledge of the science, principally physics, that underlies the production of images Radiology and physics have been closely intertwined since x rays were discovered With the changes that have occurred in imaging over the past few years, the linkage between radiology and physics has grown even stronger Today a reasonable knowledge of physics, instrumentation, and imaging technology is essential for... APPENDIX IV 30 FUTURE DEVELOPMENTS IN MEDICALIMAGING 467 OBJECTIVES 468 INTRODUCTION 468 MASSES IN ATOMIC MASS UNITS FOR NEUTRAL ATOMS OF STABLE NUCLIDES AND A FEW UNSTABLE NUCLIDES 487 ANSWERS TO SELECTED PROBLEMS 491 INDEX 495 P1: GIG PB130-FM PB130-Hendee March 7, 2002 11:49 PREFACE Writing and rewriting a text such as MedicalImagingPhysics over several editions presents two challenges The first . P1: GIG PB130-FM PB130-Hendee March 7, 2002 11:49 MEDICAL IMAGING PHYSICS Fourth Edition i Medical Imaging Physics, Fourth Edition, by William R. Hendee and E. Russell Ritenour ISBN:. PB130-Hendee March 7, 2002 11:49 MEDICAL IMAGING PHYSICS Fourth Edition William R. Hendee, Ph.D. Senior Associate Dean and Vice President Dean of the Graduate School of Biomedical Sciences Professor. text such as Medical Imaging Physics over several editions presents two challenges. The first is to keep the information fresh and relevant. This is a particular challenge in medical imaging, because