Abstract
An inter-scale adaptive, data-driven threshold for image denoising via wavelet soft-thresholding is proposed. To get the optimal threshold, a Bayesian estimator is applied to the wavelet coefficients. The threshold is based on the accurate modeling of the distribution of wavelet coefficients using generalized Gaussian distribution (GGD), and the near exponential prior of the wavelet coefficients across scales. The new approach outperforms BayesShrink because it captures the statistical inter-scale property of wavelet coefficients, and is more adaptive to the data of each subband. Simulation results show that higher peak-signal-to-noise ratio can be obtained as compared to other thresholding methods for image denoising.
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References
Donoho, D.L.: De-noising by Soft-thresholding. IEEE Transactions on Information Theory 41(3), 613–627 (1995)
Donoho, D.L., Johnstone, I.M.: Ideal Spatial Adaptation via Wavelet Shrinkage. Biometrika 81, 425–455 (1994)
Donoho, D.L., Johnstone, I.M.: Adapting to Unknown Smoothness via Wavelet Shrinkage. Journal of the American Statistical Assoc. 90(432), 1200–1224 (1995)
Birge, L., Massart, P.: From Model Selection to Adaptive Estimation. In: Pollard, D., Yang, G. (eds.) Research Papers in Probability and Statistics: Festschrift for Lucien Le Cam, pp. 55–88. Springer, New York (1996)
Chang, S.G., Yu, B., Vetterli, M.: Adaptive Wavelet Thresholding for Image Denoising and Compression. IEEE Transactions on Image Processing 9(9), 1532–1546 (2000)
MihScak, M.K., Kozintsev, I., Ramchandran, K., Moulin, P.: Low-complexity Image Denoising based on Statistical Modeling of Wavelet Coefficients. IEEE Signal Process. Lett. 6(12), 300–303 (1999)
MihScak, M.K., Kozintsev, I., Ramchandran, K.: Spatially Adaptive Statistical Modeling of Wavelet Image Coefficients and its Application to Denoising. In: Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, Phoenix, AZ, vol. 6, pp. 3253–3256 (1999)
Rahman, S.M., Hasan, M.K.: Wavelet-domain Iterative Center Weighted Median Filter for Image Denoising. Signal Processing 83(5), 1001–1012 (2003)
Yoo, Y., Ortega, A., Yu, B.: Image Subband Coding using Contextbased Classification and Adaptive Quantization. IEEE Transactions on Image Processing 8(12), 1702–1715 (1999)
Chang, S.G., Yu, B., Vetterli, M.: Spatially Adaptive Wavelet Thresholding with Context Modeling for Image Denoising. IEEE Transactions on Image Processing 9(9), 1522–1531 (2000)
Crouse, M., Nowak, R., Baraniuk, R.: Wavelet-based Statistical Signal Processing using Hidden Markov Models. IEEE Transactions on Signal Processing 42(4), 886–902 (1998)
Fan, G., Xia, X.G.: Image Denoising using a Local Contextual Hidden Markov Model in the Wavelet Domain. IEEE Signal Processing Lett. 8(5), 125–128 (2001)
Shapiro, J.M.: Embedded Image Coding using Zerotrees of Wavelet Coefficients. IEEE Transactions on Signal Processing 41(12), 3445–3462 (1993)
Sendur, L., Selesnick, I.W.: Bivariate Shrinkage Functions for Wavelet-based Denoising Exploiting Interscale Dependency. IEEE Transactions On Signal Processing 50(11), 2744–2756 (2002)
Xionc, Z., Ramchandran, K., Orchard, M.T.: Space-frequency Quantization for Wavelet Image Coding. IEEE Transactions on Image Processing 6(9), 677–693 (1997)
Cai, Z., Cheng, T.H., Lu, C., Subramanium, K.R.: Efficient Wavelet-based Image Denoising Algorithm. Electron. Lett. 37(11), 683–685 (2001)
Chen, Y., Zhao, H.C.: Adaptive Wavelet Thresholding for Image Denoising. Electron. Lett. 41(10), 586–587 (2005)
Moulin, P., Liu, J.: Analysis of Multiresolution Image Denoising Schemes using Generalized Gaussian and Complexity Priors. IEEE Transactions on Information Theory 45(3), 909–919 (1999)
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Chen, Y., Lei, L., Ji, ZC., Sun, JF. (2007). Adaptive Wavelet Threshold for Image Denoising by Exploiting Inter-scale Dependency. In: Huang, DS., Heutte, L., Loog, M. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2007. Lecture Notes in Computer Science, vol 4681. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74171-8_87
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DOI: https://doi.org/10.1007/978-3-540-74171-8_87
Publisher Name: Springer, Berlin, Heidelberg
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