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WNNMDenoise

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The julia implementation of WNNM denoising algorithm. This repo is only for archive and benchmark purpose.

Noteworthy difference from the original implementation

Performance tricks:

  • The block matching stride is set in both dimension, while in the original implementation [2] this is only set in one dimension, with the other dimension stride being 1. This extra computation brings almost no benefit speaking of the PSNR/runtime. For example, when noise level is 40 and with the same default parameters, the overall PSNR is 31.30 in about 50 seconds, if we set stride in both dimension, then PSNR is 31.29 in about 26 seconds.
  • When doing block matching, we sample the patch into a smaller one by setting indexing stride 2.

Benchmark results

We get at most 25x performance boost compared to the original MATLAB version[2] on 48 cores CPU, for more details and benchmark cases please check out the benchmark/ folder.

benchmark_Intel_E5-2698v4.png

References

[1] Gu, S., Zhang, L., Zuo, W., & Feng, X. (2014). Weighted nuclear norm minimization with application to image denoising. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (pp. 2862-2869).

[2] The MATLAB reference implementation: http://www4.comp.polyu.edu.hk/~cslzhang/code/WNNM_code.zip

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wnnmdenoise.jl's Issues

idea: apply a weighted version of NLRM

[1] introduces an interesting algorithm for nonnegative matrix approximation, namely, nonnegative low rank matrix approximation. It's probably possible to adopt a weighted version of this and replace the current nuclear norm version.


References:

[1] Song, Guang-Jing, and Michael K. Ng. "Nonnegative low rank matrix approximation for nonnegative matrices." Applied Mathematics Letters 105 (2020): 106300.

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