Medical Imaging Signals and Systems – Johns Hopkins University

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Medical Imaging Signals and Systems
Jerry L. Prince and Jonathan M. Links
Upper Saddle River, NJ: Pearson Prentice Hall, 2006

Errata, Version 1.03, March 12, 2007
This errata applies to both the first and second printings of the book. The printing number can identified by looking
on the copyright page (on the back of the title page) and finding either of the following:

This is the first printing:
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
ISBN 0-13-065353-5
This is the second printing:
Printed in the United States of America
10 9 8 7 6 5 4 3 2
ISBN 0-13-065353-5

In the items below, entries starting with an asterisk are errors that should be corrected. Entries that start with a bullet
are either typographical corrections or corrections related to clarity. Some corrections were made in the second
printing; if so, the item is given the notation "1st printing only."

Preface

 Page xv: The first words of the last paragraph should read "Part III presents the physics ..."

Part I: Basic Imaging Principles
 Page 4: The figure references in the parenthetical sentence on lines 5 and 6 should be I.1(d) and I.1(c).

Chapter 2: Signals and Systems

* Page 41: In EXAMPLE 2.9, on the top line of the page, the relationship between U and V should be: 0 < V  U .

* Page 43: Figure 2.11 should look like this:

 Page 52: In the second line in Section 2.8.2, the word "rect" should be "rectangle."

Chapter 3: Image Quality

 Page 66: In Equation (3.6), there is a missing subscript on the variable u . Equation (3.6) should be:

                                                    B | H (u 0 , 0)|     | H (u 0 , 0)|
                                            mg =                     =mf                                             (3.6)
                                                     AH (0, 0)             H (0, 0)

* Page 84: In the Answer to Example 3.8, the first line has an incorrect interval. It should read t < T < t +           t.
                                                             1
* Page 84: In the Answer to Example 3.8, the fifth displayed equation (not numbered) ends with the symbol            .
     There should be a t after the symbol, yielding  t on the right hand side of that particular equation.

* Page 85: The very last equation on this page should read:

                                                1             - 2       1      - 2
                                 p S () =              exp      2
                                                                      =    exp
                                                 2
                                               2 S            2 S      4 2     4 2


* Page 88: The last part of (3.67) should be multiplied by H 2 (0, 0). In otherwords, it should be:

                                          | H (u , v)|2 | F (u , v)|2   MTF2 (u , v)
                        SNR p (u , v) =                               =              | F (u , v)|2 H 2 (0, 0)   (3.67)
                                                NPS(u , v)              NPS(u , v)

* Page 94: In EXAMPLE 3.13, the Specificity should be equal to 1.0.

 Page 96: The second displayed impulse response function in Problem 3.3 should be h 2 (x ).

 Page 97: The wording in 3.11(c) needs improvement. It should read: (c) Derive a relation between the contrast
     of the output image and the bar separation and draw a conclusion about the resolution of the imaging system.

 Page 99: The first sentence of Problem 3.22 should read: Suppose the probability law of a test result for patients
     with and without a disease are modeled as Gaussian with different ..." The fourth sentence should say "...we
     call it diseased." Part (a) should read: "Write down the expressions for the probability density functions of
     the test value ..."

 Page 100: The caption for Figure P3.3 should read: "Probability density functions showing the test results for
     normal subjects and patients with disease."


Chapter 4: Physics of Radiography
 Page 114: (1st printing only) Table 4.3 should be modified as shown.

 Page 133: (1st printing only) On the fourth line from the top, Kg should be kg (not capitalized).

 Page 133: (1st printing only) In Problem 4.7, Kg should be kg (not capitalized) in three places.

                                                             2
                                           Table 4.3     Radiation Concepts

                                    Imaging                      Dose
                  Particulate       Bremsstrahlung               Linear energy transfer
                                    Characteristic radiation     Specific ionization
                                    Positron annihilation
                                    Range
                  Electromagnetic   Attenuation                  Air kerma
                                    Photoelectric effect         Dose
                                    Compton scatter              Dose equivalent
                                    Characteristic radiation     Effective dose
                                    Polyenergetic                f-factor
                                      Italicized entries are discussed in Chapter 7.



Chapter 5: Projection Radiography
 Page 138: (1st printing only) In Figure 5.5, Bremsstrahlung is misspelled

 Page 156: In the third and fourth displayed equations,  should be replaced by  .

* Page 160: (1st printing only) Equation (5.26) should read
                                                                   1
                                                         k                 .                              (5.26)
                                                                m 2 (z )

* Page 160: (1st printing only) Equation (5.27) should read

                                              s (x / m , y / m )
                                                                  S (0, 0)(x , y ) .                      (5.27)
                                                     m2

 Page 164: (1st printing only) Figure 5.22 should be modified as shown.

 Page 164: In the first line of text (below Fig 5.22), there is an extra word "it" after the comma.

 Page 174: There should be a line break after the first sentence of problem 5.19, part (a).

 Page 174: The last line of the page should read: 0.15 cm-1 at 75 keV.

Chapter 6: Computed Tomography
 Page 186: In the second paragraph under Answer, in the second line, the first few words should read "increment
     is 180 /360 = 0.5 ..."

 Page 203: On the second line, the word "it" should be "its."

* Page 207: Equation (6.38) should read:
                                                                               2
                                                                    
                                              c( D sin  ) =                        c( )                   (6.38)
                                                                  D sin 

                                                            3
                                           Figure 5.22    An H&D curve.


* Page 207: Equation (6.39) should read:
                                                                        2
                                                          1        
                                              c f ( ) =     D               c( )                           (6.39)
                                                          2      sin 

* Page 207: In Equations (6.40) and (6.41) put a tilde over both p 's as follows: p
                                                                                  ~ ( , ). Then add these words
     after equation (6.40): where p
                                  ~ ( , ) = cos  p ( , ).

 Page 210: There is an extra closed parenthesis in equation (6.49), which should read:

                                               R { f  h } = R { f }  R {h }                                (6.49)

* Page 210: The sentence immediately after equation (6.49) should read: Notice that the convolution on the left in
     (6.49) is two-dimensional, while that on the right is one-dimensional.

 Page 212: The first equation has a typo; it should read:
                                                                 1
                                                H { f (ar )} =      F (q /a )
                                                                 a2

* Page 216: On the line before equation (6.77), the substitution should be d = L / D , not w = L / D .

 Page 216: In the 4th line of EXAMPLE 6.6, the word "contract" should be "contrast."
                                                          4
* Page 216: The second to the last equation should read:
                                                                              3T
                                         2                                2 2 0
                                          = 5.625  10-9 cm-2 =
                                                                           3 MN

* Page 217: The answer to EXAMPLE 6.6 should be

                                                 1.87  1010 minimum

 Page 220: The word "simply" in Problem 6.5 should be "simplify."
 Page 220: There is an extra closed parenthesis in the displayed equation in problem 6.9. It should read

                                               R { f  h } = R { f }  R {h }

 Page 223: In problem 6.16(d), there should only be one * for the convolution (to stay with convention in the
     book).
* Page 223: In problem 6.18, the displayed equation should read:
                                                                          2
                                                               
                                             c( D sin  ) =                    c( )
                                                             D sin 

Chapter 7: The Physics of Nuclear Medicine
 Page 249: (1st printing only) The second line of the Early reference should be indented.
* Page 251: In Problem 7.8(a), the DF equation should read

                                                   DF = e-0.693t / T1/2

Chapter 8: Planar Scintigraphy
 Page 255: The very last sentence on this page should start: "For every 4 to 5 light"
 Page 259: There should be a question mark at the end of the question in Example 8.2.
 Page 261: On the very first line, the word "tomography" should have a period after it instead of a comma.
* Page 269: On the second line below equation (8.12), the variable r should be replaced by |z |.
* Page 270: The first equation on the page should read:
                                                 d                    b+r
                                          RC =     (l + b + r ) = d +     d.
                                                 l                     l
      The second equation should read:
                                             d                      b+r
                                      RC =      (2l + b + r ) = d +     d < RC .
                                             2l                      2l

* Page 280: (1st printing only) The fourth line of Problem 8.4 should read: A is at a distance of r from the camera,
     directly below the hole.
                                                         5
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