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Volume 26 Issue 5
May  2004
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Xie Jie-cheng, Zhang Da-li, Xu Wen-li. On the Usage of a Wavelet Coefficient Model in Noise Variance Estimation of Image[J]. Journal of Electronics & Information Technology, 2004, 26(5): 673-678.
Citation: Xie Jie-cheng, Zhang Da-li, Xu Wen-li. On the Usage of a Wavelet Coefficient Model in Noise Variance Estimation of Image[J]. Journal of Electronics & Information Technology, 2004, 26(5): 673-678.

On the Usage of a Wavelet Coefficient Model in Noise Variance Estimation of Image

  • Received Date: 2002-10-22
  • Rev Recd Date: 2003-06-03
  • Publish Date: 2004-05-19
  • During wavelet image processing, the variance of Gaussian white noise is usually estimated in the finest HH subband. A popular method, proposed by Donoho and Johnstone, is often found to provide too large an estimate. To tackle this problem, this paper presents a new method. The new method takes the rude estimate from Donohos method as the starting point, and then a subband more dominated by noise is produced with the signal filtered out by a filter derived from statistics theory and a newly-proposed coefRcient model, the doubly stochastic process. Thus a finer estimate is possible by using Donohos method on the filtered HH subband. Through employing EM algorithm, the new method can he straightly extended to the case of non-Gaussian noise. Experimental results show that the new method can improve the estimate quite much when compared to Donohos method.
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  • Donoho D L, Johnstone I M. Ideal spatial adaptation via wavelet shrinkage. Biometrika, 1994,14(6): 425-455.[2]林哲民等.在小波域中进行图像噪声方差估计的EM方法.红外与毫米波学报,2001,20(6):199-202.[3]Mihcak M K, Kozintsev I, Ramchandran K, et al.. Low-complexity image denoising based on statistical modeling of wavelet coefficients[J].IEEE Signal Processing Letters.1999, 6(12):300-303[4]Vidakovic B, Lozoya C B. On time-dependent [J].wavelet denoising. IEEE Trans. on Signal Processing.1998, 46(9):2549-2551[5]Huber P J. Robust Statistical Procedures. Philadelphia: Saciety for Industrial and Applied Mathematics, 1977: 1-3.[6]Middleton D. Statistical-physical models of urban radio-noise environments-Part I: Foundations[J].IEEE Trans. on Electromagnetic Compatibility.1972, EMC-14(1):38-56[7]Rissanen J. Stochastic Complexity in Statistical Inquiry. Singapore: World Scientific, 1998: 177-178.[8]Jiecheng Xie.[J].Dali Zhang, Wenli Xu. Wavelet denoising in non-Gaussian noise using MDL principle, Proc. of WCICA02, Shanghai, China.2002,:-
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