CSE166 – Image Processing – Homework #1
Instructor: Prof. Serge Belongie
http://wwwcse.ucsd.edu/classes/fa11/cse166a
Due (in class) 12:00pm Friday Oct. 7, 2011.
Reading
•
Skim GW Ch. 1 and 2.
•
GW Second Edition 2.6, 3.5, 3.6.0–3.6.1, 3.7.0–3.7.1
or
GW Third Edition 2.6, 3.4, 3.5.0–3.5.1, 3.6.0–3.6.1
•
Review Material, “A Brief Overview of Linear Systems,” up to the first occurrence of the word
“Fourier.”
•
Note on Linear Shift Invariant Systems (see website)
General Homework Guidelines
•
Use the Cover Sheet provided.
•
Please attach all code that you use. Attach code at end of submission.
•
In general try to keep your answers concise. Use as many words as you need and no more. Also
work on your presentation skills.
This means organize your plots and displays.
Always use
titles and add captions when appropriate.
Points will be awarded for clarity and presentation.
Written exercises
1. GW Second Edition, Problem 3.17.
or
GW Third Edition, Problem 3.15.
2. GW Second Edition, Problem 3.18.
or
GW Third Edition, Problem 3.17.
3. GW Second Edition, Problem 3.22.
or
GW Third Edition, Problem 3.21.
4. Determine whether each of the following systems is (i) linear and (ii) spatially invariant.
Justify
your answers.
(a)
g
(
x
) =
e
f
(
x
)
(b)
g
(
x
) =
f
(
x
)
f
(
x

1)
(c)
g
(
x
) =
f
(
x
)

f
(
x

1)
(d)
g
(
x
) =
f
(
x

2)

2
f
(
x

17)
(e)
g
(
x
) = [sin(6
x
)]
f
(
x
)
(f)
g
(
x
) =
∑
x
+4
k
=
x

2
f
(
k
)
(g)
g
(
x
) =
xf
(
x
)
(h)
g
(
x
) =
f
(2
x
)
1
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Matlab exercises
1. Working with Plots and images in Matlab.
(a) Download Figure 1.14(c) from the textbook photo gallery. In Matlab, use
imread
to load
in the image, and convert the image from
uint8
to
double
by typing
I=double(I);
.
(b) Read the help files for the following commands:
plot
,
fplot
,
subplot
,
hold
,
stem
,
title
,
text
,
gtext
,
getrect
,
ginput
,
image
,
imagesc
,
truesize
,
pixval
,
imcrop
,
colormap
,
colorbar
. You will be using these functions often so get to know them well.
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 Fall '06
 Belongie
 Image processing, Digital Signal Processing, LTI system theory, GW Second Edition

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