An Improved Wavelet-Based Approach for Estimating the Variance of Noise in Images

Abstract In the paper an improved approach based on Donoho’s method is proposed to estimate the variance of Gaussian noise in images. The proposed approach exploits the interscale correlation in wavelet domain to estimate the coefficients of image signals, and then get the purer noise coefficients by deducting the estimated values from the coefficients of the noisy image, then does estimation once again using Donoho’s formula with the updated data. Simulation results are presented which indicate that the proposed approach outperforms other methods, especially in scenarios where there is less noise or much more image details.

[1]  Eero P. Simoncelli Modeling the joint statistics of images in the wavelet domain , 1999, Optics & Photonics.

[2]  I. Johnstone,et al.  Ideal spatial adaptation by wavelet shrinkage , 1994 .

[3]  Martin J. Wainwright,et al.  Image denoising using scale mixtures of Gaussians in the wavelet domain , 2003, IEEE Trans. Image Process..

[4]  Shih-Ming Yang,et al.  A fast method for image noise estimation using Laplacian operator and adaptive edge detection , 2008, 2008 3rd International Symposium on Communications, Control and Signal Processing.

[5]  Aleksandra Pizurica,et al.  A joint inter- and intrascale statistical model for Bayesian wavelet based image denoising , 2002, IEEE Trans. Image Process..

[6]  Kannan Ramchandran,et al.  Low-complexity image denoising based on statistical modeling of wavelet coefficients , 1999, IEEE Signal Processing Letters.

[7]  Minghui Wang,et al.  Estimating Noise Parameter Based on the Wavelet Coefficients Estimation of Original Image , 2010, 2010 International Conference on Challenges in Environmental Science and Computer Engineering.

[8]  Zhang Qi Estimating Image Noise Based on Region Segmentation in the Wavelet Domain , 2004 .

[9]  R. Unbehauen,et al.  Estimation of image noise variance , 1999 .

[10]  John Immerkær,et al.  Fast Noise Variance Estimation , 1996, Comput. Vis. Image Underst..

[11]  Azriel Rosenfeld,et al.  A Fast Parallel Algorithm for Blind Estimation of Noise Variance , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Eric Dubois,et al.  Fast and reliable structure-oriented video noise estimation , 2005, IEEE Transactions on Circuits and Systems for Video Technology.

[13]  Chen Shu-qing An Entropy-Based Estimation of Noise Variance in Wavelet Domain , 2011 .

[14]  S. Mallat A wavelet tour of signal processing , 1998 .