Digital Signal Processing Reference
In-Depth Information
14.11. Given the 8-bit 5
4 original grayscale image
2
4
3
5
110
110
110
110
110
100
100
110
110
100
100
110
110
110
110
110
110
110
110
110
apply the following edge detectors to the image:
a. Sobel vertical edge detector
b. Laplacian edge detector
Scale the resultant image pixel value to the range of 0 to 255.
14.12. In Example 14.10, if we switch the transformation functions between the red function and
the green function, what is the expected color for the area pointed to by the arrow, and what
is the expected background color?
14.13. In Example 14.10, if we switch the transformation functions between the red function and
the blue function, what is the expected color for the area pointed to by the arrow, and what is
the expected background color?
14.14. Consider the following grayscale image
pði; jÞ
:
2
4
3
5
100
50
10
100
80
100
50
50
40
Determine the 2D-DFT coefficient
Xð
1
;
2
Þ
and the magnitude spectrum
Að
1
;
2
Þ
.
14.15. Consider the following grayscale image
pði; jÞ
:
"
10
#
100
200
150
Determine the 2D-DFT coefficients
Xðu; vÞ
and magnitude
Aðu; vÞ
.
14.16. Consider the following grayscale image
pði; jÞ
:
"
10
#
100
200
150
Apply the 2D-DCT to determine the DCT coefficients.
14.17. Consider the following DCT coefficients
Fðu; vÞ
:
"
200
#
10
10
0
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