Wavelet Image Denoising Based on the New Threshold Function

Abstract:

A new threshold function was proposed to overcome that hard threshold function is not continuous, soft threshold function has constant deviation and derivative discontinuity defects. It will be applied to using different thresholds denoising method with different decomposition level based on the D.J global threshold. Experimental results shows that the denoising result of new threshold function is superior to the traditional soft and hard threshold function in minimum mean square error (MSE) and peak signal to noise ratio (PSNR).

• Periodical: Applied Mechanics and Materials (Volumes 347-350)
• Pages: 2231-2235
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.347-350.2231
• Online since: August 2013
• Authors: Hui Tang, Zeng Li Liu, Lin Chen, Zai Yu Chen
• Keywords: Component, Hard Threshold, Image De-Noising, Soft Threshold, Wavelet Transform (WT)

References

[1] Donoho.D. L, Johnstone.I. M, Ideal Spatial Adaptation via Wavelet Shrinkage[J]. Biometrika, 1994, 81: 425-455.

DOI: 10.1093/biomet/81.3.425

[2] Donoho.D. L, Johnstone.I. M, Adapting to Unknown Smoothness Via Wavelet Shrinkage[J]. American Statical Assoc, 1995, 90(432): 1200-1224.

DOI: 10.1080/01621459.1995.10476626

[3] Donoho.D. L, Denoising By Soft threshold[J]. IEEE Trans on Information Theory, 1995, 41(3): 613-627.

[4] Donoho.D. L, Wavelet Shrinkage and WVD. 10-minute tour. ftp/ playfair. stanford. edu. (2001).

[5] L. KShark,C. Yu, Denoising by Optimal Fuzzy threshold in Wavelet Domain [J]. IEEE Electronics letters, 2000: 36(6): 581-582.

[6] Zhang. Lei, Pan. Quan, Zhang. Hongcai, Filtering Threshold Parameters in Wavelet Domain [J]. Journal of Electronics , 2001: 29(3): 400-402. (in chinese).

[7] S. Grace. Chang, Bin. Yu, and Martin. Vetterli, Adaptive Wavelet threshold for Image Denoising and Compression [J]. IEEE Transactions on Image Processing, 2000, 9: l532-1546.

DOI: 10.1109/83.862633

[8] Hari. Om, Mantosh. Biswas, An Improved Image Denoising Method Based on Wavelet threshold[J] . Journal of Signal and Information Processing, 2012, 3, 109-116.

DOI: 10.4236/jsip.2012.31014

[9] Yang. Dab, Xu. Mingxing, Wu. Wenhu, et al, A Noise Cancerlation Method Based on Wavelet Transform[A]. In: International Symposium on Chinese Spoken Language rocessing[C], Beijing, 2000: 211-214.

[10] Feng. Xiangchu, Gan. Xiaobing, Song. Gx, Numerical Functional and Wavelet Theory [M]. Xi'an: Xi'an Electronic and Science University Press , (2003).

[11] Mantosh. Biswas* and Hari. Om, A New Soft-threshold Image Denoising Method[A]. 2nd International Conference on Communication, Computing & Security [ICCCS-2012], Procedia Technology 6(2012) 10–15.

DOI: 10.1016/j.protcy.2012.10.002

[12] Cha. Yufei, Bi. Duyan, Adaptive Multi Threshold Image Denoising Based on Wavelet Transform [J]. Journal of image and graphics , Vol. 10, No. 5, May, 2005, p.65–69. (in chinese).