Image Processing Reference
In-Depth Information
y
f
(
x, y
)
θ
x
x
0
FIGURE 2.65
y
1
x
FIGURE 2.66
n
2
x
(
n
1
,
n
2
)
(1)
n
2
h
(
n
1
,
n
2
)
(2)
(4)
(2)
(2)
(2)
(3)
(1)
(2)
(2)
n
1
n
1
FIGURE 2.67
2.9
Find the Fourier transform of the 2-D image f
(
x, y
) ¼ d(
x
2
þ
y
2
1
)
. The
image is shown in Figure 2.66. Display the transform as an image.
2.10
Consider the two sequences x
(
n
1
, n
2
)
and h
(
n
1
, n
2
)
shown in Figure 2.67.
a. Determine y
(
n
1
, n
2
) ¼
x
(
n
1
, n
2
)
*
h
(
n
1
, n
2
)
,
the linear convolution of
.
b. Develop a procedure to compute y
(
n
1
, n
2
) ¼
x
(
n
1
, n
2
)
*
h
(
n
1
, n
2
)
x
(
n
1
, n
2
)
and h
(
n
1
, n
2
)
using
DFT.
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