Image Processing Reference
In-Depth Information
ω
2
0.5π
D
-0.5π
ω
1
0.5π
D
-0.5π
FIGURE 2.68
1
(v
1
,
v
2
) 2
D
H
d
(v
1
,
v
2
) ¼
otherwise
0
2.17
Consider the 8
8 image f
(
n, m
)
shown below.
2
4
3
5
123
125
130
123
140
145
150
15
128
129
135
124
145
140
129
19
24
150
120
140
123
134
29
35
129
180
109
150
155
160
29
65
f
(
n, m
) ¼
190
185
98
100
162
89
68
34
100
23
88
136
123
35
187
43
86
12
0
5
135
34
45
56
23
14
4
8
128
56
25
23
a. Assume this image is
filtered by a separable
filter having the following
horizontal and vertical frequency responses
H
h
(v
x
) ¼
1
3
(
1
þ
2
cos (v
x
))
,
H
v
(v
y
) ¼
3
2
cos (v
y
)
What are the gray level values of the output
image at
the following
locations?
g
(
2, 3
)
and
g
(
5, 5
)
b. Repeat part (1), for a nonseparable
filter with the following frequency
response.
H
(v
x
,
v
y
) ¼
4
cos (v
x
) cos (v
y
)
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