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MP230 Modern Diagnostic Imaging Systems, Fall 2010.
Homework #2
Due: Septemer 15 by 5:00 pm
Part I:
Thoroughly answer all questions. Clearly and
neatly
show your work.
Part II:
Fully answer all questions and print out a copy of your MATLAB code,
including any ﬁgures or tables.
I. PROBLEMS (PP 9697 OF PRINCE)
1.) 3.3 + c) what does this tell you about adding components that introduce noise or blurring
to an imaging system; that is, how does the image quality respond
(ex. improves/worsens linearly/quadratically, etc.)?
2.) 3.10 + d) which component (h1 or h2) will mainly dictate the resolution of the combined
system? Why?
3.) You want to image an object,
f
(
x
) =
rect
(
x
2
), with two diﬀerent systems with PSFs
given by:
h
1
(
x
) =
e

x
2
2(1
.
5
2
)
and
h
2
(
x
) =
e

x
2
2(0
.
5
2
)
a.) Sketch the MTF of each system on the same graph, drawing it carefully to demonstrate
any diﬀerences or similarities. Label the axes, and note any important points.
b.) Which system gives better spatial resolution? Explain.
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This note was uploaded on 10/30/2010 for the course MP 230 taught by Professor Macfall during the Fall '10 term at Duke.
 Fall '10
 MacFall

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