1
EE 211A
Digital Image Processing I
Fall Quarter, 2011
Handout 11
Instructor: John Villasenor
Homework 4
Due: Thursday, 20 October 2011
Reading:
Textbook pp. 2031, 132180.
1.
For the 2 x 2 transform
A
and the image
U
31
2
3
1
,
12
2
13
AU
ΡΤ
==
Υ
−
ΣΦ
calculate the transformed image
V
and the basis images.
2.
(a)
Consider a 2D real sequence
)
,
(
n
m
u
of size 4
×
4 whose DFT
)
,
(
l
k
v
has been
determined. Suppose that these data were stored on computer, and that a
careless colleague has accidentally erased
),
,
(
n
m
u
as well as several of the
elements of
).
,
(
l
k
v
Nine of the 16 elements of
)
,
(
l
k
v
were not erased and are
indicated below by the letters A through I. These letters may in general
represent complex numbers. Where possible, give the missing elements of
)
,
(
l
k
v
in terms of the letters A through I. Where this is not possible, write a
question mark.
0
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 Spring '11
 Villasenor
 Image processing, Computer Graphics, Complex number, 2D unitary DFT

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