IEEE Transactions on Image Processing
A SURE approach for digital signal/image deconvolution problems
IEEE Transactions on Signal Processing
Homogeneity similarity based image denoising
Pattern Recognition
A new wavelet-based fuzzy single and multi-channel image denoising
Image and Vision Computing
Wavelet-based multi-channel image denoising using fuzzy logic
ICISP'10 Proceedings of the 4th international conference on Image and signal processing
Harmonic analysis filtering techniques for forced and decaying homogeneous isotropic turbulence
Computers & Mathematics with Applications
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We propose a vector/matrix extension of our denoising algorithm initially developed for grayscale images, in order to efficiently process multichannel (e.g., color) images. This work follows our recently published SURE-LET approach where the denoising algorithm is parameterized as a linear expansion of thresholds (LET) and optimized using Stein's unbiased risk estimate (SURE). The proposed wavelet thresholding function is pointwise and depends on the coefficients of same location in the other channels, as well as on their parents in the coarser wavelet subband. A nonredundant, orthonormal, wavelet transform is first applied to the noisy data, followed by the (subband-dependent) vector-valued thresholding of individual multichannel wavelet coefficients which are finally brought back to the image domain by inverse wavelet transform. Extensive comparisons with the state-of-the-art multiresolution image denoising algorithms indicate that despite being nonredundant, our algorithm matches the quality of the best redundant approaches, while maintaining a high computational efficiency and a low CPU/memory consumption. An online Java demo illustrates these assertions.