The best case is considered to be the the one where the noise level
is minimal. We choose to use maximum blurring in this example in order
to show the performance of the various restoration algorithms under optimal
conditions. The noise that was added to the degraded images has a variance
corresponding to sigma=1.0 pixel.
Defocus (sigma=8 pixel)
Figure 0: Image degraded by Gaussian blurr (sigma=8),
the image with added noise is indistingueshble from this image.
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Wiener Filter | ||
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| 0.001 (61.43) | 0.01 (32.89) | 0.1 (37.56) | 1.0 (32.40) |
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Filter |
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| 10 (38.09) | 40 (35.69) | 80 (35.70) | 1.0 (91.01) |
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| 0.001 (33.28) | 0.01 (32.49) | 0.1 (34.23) | 1.0 (36.21) |
Compared to the "worst case", the results where better, but still
far from the original image. All methods gave approximatelt comparable
results with the exception of the power spectrum filter.
Motion (len=64 pixel):
Figure 0: Image degraded by linear motion (64 pixel),
the image with noise added is indistinguashable from this image.
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Wiener Filter | ||
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| 0.001 (109.77) | 0.01 (85.08) | 0.1 (37.82) | 1.0 (32.28) |
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Filter |
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| 10 (43.33) | 40 (34.58) | 80 (33.94) | 1.0 (110.61) |
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| 0.001 (31.39) | 0.01 (32.44) | 0.1 (34.92) | 1.0 (38.02) |
Compared to the restoration of the gaussian blurring the restoration
of the motion degraded images is far better. Especially the Wiener filter
and the constrained least square method gave good results (subjectively
and in terms of rms error) and an unbiased person identified the trees,
the forest in the background and "guessed" a lake in the foreground.