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Conclusion

In this paper, we have proposed a denoising method by using multi-channel framelet grouped iterative hard thresholding, which not only takes advantage of inter-image correlations but yields good edge-preserving property. Experiments on synthetic data with noncentral chi noise and real data with repeated scans confirm that the proposed method outperforms state-of-the-art methods such as non-local means.

Acknowledgements This work was supported in part by NIH grants (NS093842, EB006733, EB009634, AG041721, MH100217, and AA012388) and Hunan Provincial Education Department grant (15A066).

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