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Image denoising with block-matching and 3D filtering

Kostadin DabovAlessandro FoiVladimir KatkovnikKaren Egiazarian

Abstract

We present a novel approach to still image denoising based on effective filtering in 3D transform domain by combining sliding-window transform processing with block-matching. We process blocks within the image in a sliding manner and utilize the block-matching concept by searching for blocks which are similar to the currently processed one. The matched blocks are stacked together to form a 3D array and due to the similarity between them, the data in the array exhibit high level of correlation. We exploit this correlation by applying a 3D decorrelating unitary transform and effectively attenuate the noise by shrinkage of the transform coefficients. The subsequent inverse 3D transform yields estimates of all matched blocks. After repeating this procedure for all image blocks in sliding manner, the final estimate is computed as weighed average of all overlapping blockestimates. A fast and efficient algorithm implementing the proposed approach is developed. The experimental results show that the proposed method delivers state-of-art denoising performance, both in terms of objective criteria and visual quality.

Image and Signal Denoising MethodsAdvanced Image Fusion TechniquesAdvanced Image Processing TechniquesComputer scienceBlock (permutation group theory)Noise reductionArtificial intelligenceMatching (statistics)Noise (video)Pattern recognition (psychology)AlgorithmComputer visionImage (mathematics)
Citations
737
FWCI
6.95
field-weighted impact
References
13
Percentile
97%
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Cited by
Image Denoising by Sparse 3-D Transform-Domain Collaborative Filtering
IEEE Transactions on Image Processing · 2007 · 9,026 citations
References
Adapting to Unknown Smoothness via Wavelet Shrinkage
Journal of the American Statistical Association · 1995 · 4,299 citations
Image denoising using scale mixtures of gaussians in the wavelet domain
IEEE Transactions on Image Processing · 2003 · 2,254 citations
Adaptive wavelet thresholding for image denoising and compression
IEEE Transactions on Image Processing · 2000 · 2,901 citations
De-noising by soft-thresholding
IEEE Transactions on Information Theory · 1995 · 9,501 citations
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