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6.3 Experiments and Analysis of Results 139
(a) Noisy image (b) SRBF (c) DPAD
(d) Andria (e) OBNLM (f) Wavelet +guided
(g) NSST +bilateral (h) NSST +triangular (i) NSST +guided
Fig. 6.13 De-noising results of ultrasound images (Female Breast Tissues)
Table 6.4 Comparison of de-noising results of ultrasound female breast tissues image
Algorithm FOM PSNR SSIM Time(s)
Noise picture 0.1618 18.7605 0.1886 –
SRBF 0.1581 21.2280 0.7309 11.0831
DTD 0.1535 22.4295 0.8663 9.1265
Andria 0.1725 20.2312 0.6751 3.4248
OBNLM 0.1783 23.5083 0.9129 23.2832
Wav e l et + guided 0.2827 26.6388 0.9290 4.2941
NSST + bilateral 0.2765 27.3276 0.9012 7.9834
NSST + triangular 0.2857 27.9834 0.9258 6.9724
NSST + guided 0.2940 28.6532 0.9301 4.5413
140 6 Nonsubsampled Shearlet and Guided Filter Based Despeckling …
Fig. 6.14 Comparison of the
performance of de-noising of
ultrasound images (Female
Breast Tissues) in clinical
medicine
0
0.05
0.1
0.15
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0.25
0.3
0.35
FOM
0
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10
15
20
25
30
35
PSNR
0
0.2
0.4
0.6
0.8
1
SSIM
0
5
10
15
20
25
Time
6.3 Experiments and Analysis of Results 141
In the above two experiments, we can see that the de-noising effect of the shearlet
transform is better than that of the wavelet transform. The de-noising time of the
guided filter is obviously better than bilateral filter and trilateral filter, so the de-
noising effect of the algorithm proposed in this chapter is superior to other existing
algorithms.

6.4 Conclusions

In this chapter, a despeckling method based on shearlet transformation and guided
filter is proposed to solve the problem of speckle noise in medical ultra-sound images.
An integrated framework using a nonsubsampled shearlet and guided filter is pre-
sented. Nonsubsampled Laplacian pyramid filtering is adopted to decompose the
noisy image. An improved threshold function and a three-variable shrinkage func-
tion are proposed which effectively solves the problem of the correlation between
shearlet coefficients and performs the threshold shrinkage processing on the shear-
let coefficients of the high frequency subbands. Experimental studies are conducted.
Comparative experimental studies are also made using various existing methods with
respect to four criteria. The results show the effectiveness and superiority of the pro-
posed approach when compared to existing approaches for the denoising of medical
ultrasonic images.

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