Image Processing Reference
In-Depth Information
2
1.8
1.6
1.4
Uniform
1.2
SLI
1
DO
0.8
0.6
0.4
0.2
0
5
10
15
20
Grid size
N
FIGURE 6.19
MSE as a function of grid size.
Example 6.9
Consider a discrete 2-D function de
ned by the 2-D LUT of size 4
4 as given in
Table 6.13. We downsample the LUT to 3
3 using the 2-D DO algorithm.
The optimal grid points (9 points) are shown in Figure 6.20. The resulting
MMSE is 1.0869.
TABLE 6.13
Two-Dimensional Function f(x, y)
x
y
f
0
0
1
0
0.4
1.48
0
0.8
2.92
0
1.2
5.32
0.4
0
1.134
0.4
0.4
1.678
0.4
0.8
3.182
0.4
1.2
5.646
0.8
0
1.47
0.8
0.4
2.206
0.8
0.8
3.902
0.8
1.2
6.558
1.2
0
1.946
1.2
0.4
3.002
1.2
0.8
5.018
1.2
1.2
7.994
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