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MRI denoising using advanced NLM filtering with non-subsampled shearlet transform

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Abstract

Many noise removal algorithms have been introduced so far for denoising of MRI images like a bilateral filter, wavelet transform, maximum likelihood, non-local means, etc. All the existing methods suffer from some drawbacks or limitations. This research proposed a novel denoising technique for MRI images based on the advanced NLM method with non-subsampled shearlet transform (NSST). NSST is a combination of non-subsampled pyramid filters and non-subsampled shearing filters. NLM filter is modified for better noise detection and calculation of denoised value. The parameters are set to provide maximum output and high-quality denoising. The proposed methods are compared with existing state-of-the-art methods like standard NLM filter, fast NLM, LMMSE, NLML, etc. The analysis is based on values of PSNR, SSIM and RMSE. The results show that the proposed methods remove the noise much effectively as compared to existing denoising methods.

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References

  1. Bansal, R., Hao, X., Liu, F., Dongrong, Xu., Liu, J., Peterson, B.S.: The effects of changing water content, relaxation times, and tissue contrast on tissue segmentation and measures of cortical anatomy in MR images. Magn. Reson. Imaging 31, 1709–1730 (2013)

    Article  Google Scholar 

  2. Angenent, S., Pichon, E., Tannenbaum, A.: Mathematical methods in medical image processing. Bull. (New Ser.) Am. Math. Soc. 43, 365–396 (2006)

    Article  MathSciNet  Google Scholar 

  3. Ahmed, O.A.: New denoising scheme for magnetic resonance spectroscopy signals. IEEE Trans. Med. Imaging 24(6), 809–816 (2005)

    Article  Google Scholar 

  4. Gonzalez, R.C., Woods, R.E.: Digital image processing, 3rd edn. Prentice-Hall Inc, Upper Saddle River (2006)

    Google Scholar 

  5. Pitas, I., Venetsanopoulos, A.N.: Nonlinear digital filters: principles and applications. Kluwer, Boston (1990)

    Book  Google Scholar 

  6. Mohana, J., Krishnavenib, V., Guoca, Y.: A survey on the magnetic resonance image denoising methods. Biomed Signal Process Control 9, 956–969 (2014)

    Google Scholar 

  7. Sijbers, J., den Dekker, A.J.: Maximum likelihood estimation of signal amplitude and noise variance from MR data. Magn. Reson. Imaging 51, 586–594 (2004)

    Google Scholar 

  8. Aja-Fernandez, S., Alberola-Lopez, C., Westin, C.F.: Noise and signal estimation in magnitude MRI and Rician distributed images: a LMMSE approach. IEEE Trans. Image Process. 17, 1383–1398 (2008)

    Article  MathSciNet  Google Scholar 

  9. Awate, S.P., Whitaker, R.T.: Nonparametric neighborhood statistics for MRI denoising. Inf. Process. Med. Imaging- Lect. Notes Comput. Sci. 3565, 677–688 (2005)

    Article  Google Scholar 

  10. McVeigh, E.R., Henkelman, R.M., Bronskill, M.J.: Noise and filtration in magnetic resonance imaging. Med. Phys. 12, 586–591 (1985)

    Article  Google Scholar 

  11. Coupe, P., Yger, P., Prima, S., Hellier, P., Kervrann, C., Barillot, C.: An optimized blockwise nonlocal means denoising filter for 3-D magnetic resonance images. IEEE Trans. Med. Imaging 27, 425–441 (2008)

    Article  Google Scholar 

  12. Manjon, J.V., Carbonell-Caballero, J., Lull, J.J., Garcıa-Martıa, G., Mart-Bonmat, L., Robles, M.: MRI denoising using non-local means. Med. Image Anal. 12, 514–523 (2008)

    Article  Google Scholar 

  13. Coupe, P., Yger, P., Barillot, C.: Fast non local means denoising for 3D MR images. In: International conference on medical image computing and computer-assisted invention, pp. 33–40 (2006).

  14. Rajan, J., den Dekker, A.J., Sijbers, J.: A new non-local maximum likelihood estimation method for Rician noise reduction in magnetic resonance images using the Kolmogorov–Smirnov test. Signal Process. 103, 16–23 (2014)

    Article  Google Scholar 

  15. Sudeep, P.V, Palanisamy, P., Kesavadas, C., Rajan, J.: An improved nonlocal maximum likelihood estimation method for denoising magnetic resonance images with spatially varying noise levels. Pattern Recognit. Lett., pp. 1–8 (2018)

  16. Easley, G., Labate, D., Lim, W.Q.: Sparse directional image representations using the discrete Shearlet transform”. Appl. Comput. Harmonic Anal. 25, 25–46 (2008)

    Article  MathSciNet  Google Scholar 

  17. Yang, H.Y., Wang, X.Y., Niu, P.P., Liu, Y.C.: Image denoising using non-sub sampled Shearlet transform and twin support vector machines. Neural Netw. 57, 152–165 (2014)

    Article  Google Scholar 

  18. Lim, W.Q.: The discrete Shearlet transform: a new directional transform and compactly supported Shearlet frames. IEEE Trans. Image Process. 19(5), 1166–1180 (2010)

    Article  MathSciNet  Google Scholar 

  19. Malik, F., Baharudin, B.: Analysis of distance metrics in content-based image retrieval using statistical quantized histogram texture features in the DCT domain. J. King Saud Univ. Comput. Inf. Sci. 25, 207–218 (2013)

    Google Scholar 

  20. Malkauthekar, M. D: Analysis of Euclidean distance and manhattan distance measure in face recognition. In: Third International Conference on Computational Intelligence and Information Technology (CIIT), pp 503–507 (2013).

  21. https://brainweb.bic.mni.mcgill.ca/brainweb

  22. Kim, D. W., Kim, C., Kim, D. H., Lim, D. H.: Rician nonlocal means denoising for MR images using nonparametric principal component analysis. EURASIP J. Image Video Process. (2011).

  23. Goyal, B., Dogra, A., Agrawal, S., Sohi, B.S.: Two-dimensional gray scale image denoising via morphological operations in NSST domain & bitonic filtering. Future Gener. Comput. Syst. 82, 158–175 (2018)

    Article  Google Scholar 

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Correspondence to Abhishek Sharma.

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Sharma, A., Chaurasia, V. MRI denoising using advanced NLM filtering with non-subsampled shearlet transform. SIViP 15, 1331–1339 (2021). https://doi.org/10.1007/s11760-021-01864-y

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  • DOI: https://doi.org/10.1007/s11760-021-01864-y

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