A New Denoising Method with Contourlet Transform

The contourlet coefficients of natural images are highly correlated across scales especially around boundaries, whereas contourlet coefficients of Gaussan white noise are hardly correlated. Therefore signal coefficients can be sorted out according to the different correlation characteristics between signals and noise. In this paper, a contourlet based denoising algorithm using interscale correlations is proposed combined with thresholding functions. Experimental results show that the proposed method outperforms the corresponding wavelet based method especially for the images containing many edges and fine textures.

[1]  Dennis M. Healy,et al.  Wavelet transform domain filters: a spatially selective noise filtration technique , 1994, IEEE Trans. Image Process..

[2]  Minh N. Do,et al.  Contourlets: a directional multiresolution image representation , 2002, Proceedings. International Conference on Image Processing.

[3]  P. Lancaster Curve and surface fitting , 1986 .

[4]  R. Eslami,et al.  The contourlet transform for image denoising using cycle spinning , 2003, The Thrity-Seventh Asilomar Conference on Signals, Systems & Computers, 2003.

[5]  Minh N. Do,et al.  Directional multiscale statistical modeling of images , 2003, SPIE Optics + Photonics.

[6]  E. Candès,et al.  Curvelets: A Surprisingly Effective Nonadaptive Representation for Objects with Edges , 2000 .