On the representation of operators in bases of compactly supported wavelets
SIAM Journal on Numerical Analysis
Digital Signal Processing: A Computer-Based Approach
Digital Signal Processing: A Computer-Based Approach
Edge-preserving wavelet thresholding for image denoising
Journal of Computational and Applied Mathematics
De-noising by soft-thresholding
IEEE Transactions on Information Theory
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Denoising is a fundamental work in all image processing. This paper proposes a level-wavelet-dependent (LWD) scheme, which utilizes undecimated discrete wavelet transform and a hard-thresholding rule with a modified LWD threshold. Performance of the LWD denoising scheme are comparatively evaluated with the classical Donoho denoising scheme. Experiments conducted on both non-clinical and clinical images show that the LWD scheme could perform better than the Donoho scheme, yielding improved visual quality, lower mean-square-error, and hence, higher peak-signal-to-noise ratio.