Image denoising with block-matching and 3D filtering




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Block-matching illustration Block-matching illustration


Abstract

Software

Results

People

Related work

Publications



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 its transform coefficients. The subsequent inverse 3D transform yields estimates of all matched blocks. After repeating this procedure for all sliding windows (blocks), we compute the final estimate as a weighed average of all overlapping block-estimates. Also, we develop a fast and efficient algorithm implementing the proposed approach. The experimental results show that the proposed method delivers state-of-the-art denoising performance, both in terms of objective criteria and visual quality.


Block-matching illustration

For a detailed overview, please browse to this presentation.



Software



We follow the principle of reproducible research and make our software routines available free-of-charge for non-profit scientific research, enabling others researchers to understand, reproduce and extend our work. Unauthorized use of the routines for industrial or profit-oriented activities is expressively prohibited. Please read the TUT limited license PDF before you proceed with downloading any of the files.


Download zipped BM-3DDFT MATLAB script.


Download zipped test images.




Results



Results in output PSNR (dB) of BM-3DDFT, the image denoising algorithm with block-matching and filtering in 3D DFT domain.

σ* Lena
512x512
Barbara
512x512
House
256x256
Peppers
256x256
Boats
512x512
Couple
512x512
Hill
512x512
5 38.63 38.18 39.54 37.84 37.20 37.40 37.11
10 35.83 34.87 36.37 34.38 33.79 33.88 33.57
15 34.21 33.08 34.75 32.31 31.96 31.93 31.79
20 33.03 31.77 33.54 30.87 30.65 30.58 30.60
25 32.08 30.75 32.67 29.80 29.68 29.57 29.74
30 31.29 29.90 31.95 28.97 28.90 28.75 29.04
35 30.61 29.13 31.21 28.14 28.20 28.03 28.46
50 29.08 27.51 29.65 26.46 26.71 26.46 27.21
100 26.04 24.14 25.92 23.11 24.00 23.60 24.77

*We created the noisy images by adding realizations of white Gaussian noise with the following MATLAB commands:

randn('seed', 0);
noisy_image = input_image + sigma_noise*randn(size(input_image));



People


Kostadin Dabov
Alessandro Foi
Vladimir Katkovnik
Karen Egiazarian


Related work


Local filtering in 3D transform domain applied to both still- and motion-image restoration.



Publications



2006

PDF Dabov, K., A. Foi, V. Katkovnik, and K. Egiazarian, "Image denoising with block-matching and 3D filtering," in Electronic Imaging'06, Proc. SPIE 6064, no. 6064A-30, San Jose, California USA, 2006.