Image Denoising in the Transformed Domain Using Non Local Neighborhoods

In this paper we address a denoising technique based on calculation of non local means through neighborhoods. Non local neighborhoods are computed in a transformed domain, namely the wavelet domain. A noisy image is transformed using a lifting scheme. The wavelet coefficients in each subband image are modelized by a generalized Gaussian distribution (GGD) whose parameters (scale and shape parameters) are estimated using an appropriate technique. The estimated parameters are used to define a generalized non local mean which allows us to restore the original image. Processing in the wavelet domain is suitable since image are often available in a compressed domain, beside, processing smaller images allows us to reduce the computational cost

[1]  Minh N. Do,et al.  Wavelet-based texture retrieval using generalized Gaussian density and Kullback-Leibler distance , 2002, IEEE Trans. Image Process..

[2]  Tsachy Weissman,et al.  A discrete universal denoiser and its application to binary images , 2003, Proceedings 2003 International Conference on Image Processing (Cat. No.03CH37429).

[3]  Jean-Michel Morel,et al.  A non-local algorithm for image denoising , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[4]  Alberto Leon-Garcia,et al.  Estimation of shape parameter for generalized Gaussian distributions in subband decompositions of video , 1995, IEEE Trans. Circuits Syst. Video Technol..

[5]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .

[6]  Ahmet M. Eskicioglu,et al.  Multidimensional image quality measure using singular value decomposition , 2003, IS&T/SPIE Electronic Imaging.

[7]  Zhou Wang,et al.  Multi-scale structural similarity for image quality assessment , 2003 .

[8]  Wim Sweldens,et al.  Lifting scheme: a new philosophy in biorthogonal wavelet constructions , 1995, Optics + Photonics.

[9]  Peter Kovesi,et al.  Phase Preserving Denoising of Images , 1999 .

[10]  Zhou Wang,et al.  Reduced-reference image quality assessment using a wavelet-domain natural image statistic model , 2005, IS&T/SPIE Electronic Imaging.

[11]  Michel Barlaud,et al.  Image coding using wavelet transform , 1992, IEEE Trans. Image Process..

[12]  I. Daubechies,et al.  Wavelet Transforms That Map Integers to Integers , 1998 .