From the test results and the result tables, we can see that, low
pass filter is not fit in processing this stripped noise. And the
other two methods is relatively suiltable. Test result tables show
that, standard deviation value of processed image by low pass
filter has much differentce with the proir image and noisy image,
which suggests this method changes much image information,
while standard deviation valule of the other two methods
changes little.
From the result, we can see that, the brigthness of this processed
image is reserved and the small stripes like figure 4 decreases.
Using wavelet transformation of our method, the detail of this
image can be reserved after noise reduction.
From these three processed images, we can see that, wavelet
transformation result has the best visual effect, then gray value
substition. Though low pass filter can remove noise very well,
however, some useful information is also removed. In order to
do a quality comparison, we calculated the mean value, standard
deviation (std.dev), MSE and PSNR of different results, which
is seen in table 1.
1 M-l V-l
mean = УУ/ (/, j)
std.dev =
1 M-\N-l
YÆ^ mean ~f^j^ 7
MSE =^7Vr YLmun-giuni
255"
where f(i,j) = prior image
i, j= image coordinates
M, N = image size
g(ij) = processed image
(3)
(4)
(5)
(6)
MSE
PSNR
Noisy image
Low pass filter
1260.8
17.1242
Gray Value Substitution
28.0140
33.6571
Wavelet transformation
8.8177
38.6773
Table 1. Results and comparisons of MSE and PSNR
Mean
Sta. dev
Prior image
124.0610
47.8240
Noisy image
153.7807
53.9107
Low pass filter
153.7810
25.8691
Gray Value Substitution
142.4265
44.0512
Wavelet transformation
142.4270
44.1347
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ACKNOWLEDGEMENTS
The authors wish to thank Chenchao, who is from Shandong
University of Science and Technology for his software help.
Table 2. Results of mean and standard deviation value
216