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
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)
Angenent, S., Pichon, E., Tannenbaum, A.: Mathematical methods in medical image processing. Bull. (New Ser.) Am. Math. Soc. 43, 365–396 (2006)
Ahmed, O.A.: New denoising scheme for magnetic resonance spectroscopy signals. IEEE Trans. Med. Imaging 24(6), 809–816 (2005)
Gonzalez, R.C., Woods, R.E.: Digital image processing, 3rd edn. Prentice-Hall Inc, Upper Saddle River (2006)
Pitas, I., Venetsanopoulos, A.N.: Nonlinear digital filters: principles and applications. Kluwer, Boston (1990)
Mohana, J., Krishnavenib, V., Guoca, Y.: A survey on the magnetic resonance image denoising methods. Biomed Signal Process Control 9, 956–969 (2014)
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)
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)
Awate, S.P., Whitaker, R.T.: Nonparametric neighborhood statistics for MRI denoising. Inf. Process. Med. Imaging- Lect. Notes Comput. Sci. 3565, 677–688 (2005)
McVeigh, E.R., Henkelman, R.M., Bronskill, M.J.: Noise and filtration in magnetic resonance imaging. Med. Phys. 12, 586–591 (1985)
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)
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)
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).
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)
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)
Easley, G., Labate, D., Lim, W.Q.: Sparse directional image representations using the discrete Shearlet transform”. Appl. Comput. Harmonic Anal. 25, 25–46 (2008)
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)
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)
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)
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).
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).
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)
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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