A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
An introduction to fuzzy control
An introduction to fuzzy control
Image denoising using scale mixtures of Gaussians in the wavelet domain
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
A Fuzzy Noise Reduction Method for Color Images
IEEE Transactions on Image Processing
The SURE-LET Approach to Image Denoising
IEEE Transactions on Image Processing
SURE-LET Multichannel Image Denoising: Interscale Orthonormal Wavelet Thresholding
IEEE Transactions on Image Processing
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In this paper, we propose a new wavelet shrinkage algorithm based on fuzzy logic for multi-channel image denoising. In particular, intra-scale dependency within wavelet coefficients is modeled using a fuzzy feature. This feature space distinguishes between important coefficients, which belong to image discontinuity and noisy coefficients. Besides this fuzzy feature, we use inter-relation between different channels for improving the denoising performance compared to denoising each channel, separately. Then, we use the Takagi-Sugeno model based on two fuzzy features for shrinking wavelet coefficients. We examine our multi-channel image denoising algorithm in the dual-tree discrete wavelet transform domain, which is the new shiftable and modified version of discrete wavelet transform. Extensive comparisons with the state-of-the-art image denoising algorithms indicate that our image denoising algorithm has a better performance in noise suppression and edge preservation.