Scale-Space and Edge Detection Using Anisotropic Diffusion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image selective smoothing and edge detection by nonlinear diffusion. II
SIAM Journal on Numerical Analysis
Digital Picture Processing
Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
A Non-Local Algorithm for Image Denoising
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
De-noising by soft-thresholding
IEEE Transactions on Information Theory
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In this paper, we are interested in preserving the sharp transitions and edges present inside the image. Image denoising by means of wavelet transforms has been an active research topic for many years. In this work, we used Lipschitz exponents based on wavelet transform to performs edge preservation by identifying these transitions. The smoothing part was performed by using some heuristic approach utilizing data samples and smoothness criteria in spatial domain with out prior modeling of either the image or noise statistics. The method tries to find the the best compromise between the data and the smoothing criteria based on the type of the transition present. The method has been compared with the shrinkage approach, Wiener filter and Non Local- means algorithm as well. Experimental results showed that the proposed method gives better signal to noise ratio as compared to the previously proposed denoising solutions.