Optical Review

, Volume 23, Issue 3, pp 460–469 | Cite as

Rician noise reduction in magnetic resonance images using adaptive non-local mean and guided image filtering

  • Muhammad Tariq Mahmood
  • Yeon-Ho Chu
  • Young-Kyu Choi
Regular Paper

Abstract

This paper proposes a Rician noise reduction method for magnetic resonance (MR) images. The proposed method is based on adaptive non-local mean and guided image filtering techniques. In the first phase, a guidance image is obtained from the noisy image through an adaptive non-local mean filter. Sobel operators are applied to compute the strength of edges which is further used to control the spread of the kernel in non-local mean filtering. In the second phase, the noisy and the guidance images are provided to the guided image filter as input to restore the noise-free image. The improved performance of the proposed method is investigated using the simulated and real data sets of MR images. Its performance is also compared with the previously proposed state-of-the art methods. Comparative analysis demonstrates the superiority of the proposed scheme over the existing approaches.

Keywords

Magnetic resonance images Rician noise Guided image filtering Non-local mean Noise reduction 

Notes

Acknowledgments

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) Grant funded by the Ministry of Science, ICT and Future Planning (MSIP) (2013R1A1A2008180).

References

  1. 1.
    Manjón, J.V., et al.: MRI denoising using non-local means. Med. Image Anal. 12(4), 514–523 (2008)CrossRefGoogle Scholar
  2. 2.
    Sharif, M., Arfan, M., Arfan Jaffar, M., Tariq Mahmood, M.: Optimal composite morphological supervised filter for image denoising using genetic programming: application to magnetic resonance images. Eng. Appl. Artif. Intell. 31, 78–89 (2014)CrossRefGoogle Scholar
  3. 3.
    Kavitha, C.T., Chellamuthu, C.: Fusion of SPECT and MRI images using integer wavelet transform in combination with curvelet transform. Imaging Sci. J. 63(1), 17–23 (2015)CrossRefGoogle Scholar
  4. 4.
    Manjón, J.V., Coupé, P., Buades, A.: MRI noise estimation and denoising using non-local PCA. Med. Image Anal. 22(1), 35–47 (2015)CrossRefGoogle Scholar
  5. 5.
    Yong-Qin, Z., et al.: Guided image filtering using signal subspace projection. Image Process. IET 7(3), 270–279 (2013)MathSciNetCrossRefGoogle Scholar
  6. 6.
    Mohan, J., Krishnaveni, V., Guo, Y.: MRI denoising using nonlocal neutrosophic set approach of Wiener filtering. Biomed. Signal Process. Control 8(6), 779–791 (2013)CrossRefGoogle Scholar
  7. 7.
    Riji, R., et al.: Iterative bilateral filter for Rician noise reduction in MR images. SIViP 9(7), 1543–1548 (2014)CrossRefGoogle Scholar
  8. 8.
    Golshan, H.M., Hasanzadeh, R.P.R., Yousefzadeh, S.C.: An MRI denoising method using image data redundancy and local SNR estimation. Magn. Reson. Imaging 31(7), 1206–1217 (2013)CrossRefGoogle Scholar
  9. 9.
    Wood, J.C., Johnson, K.M.: Wavelet packet denoising of magnetic resonance images: importance of Rician noise at low SNR. Magn. Reson. Med. 41(3), 631–635 (1999)CrossRefGoogle Scholar
  10. 10.
    Do, M.N., Vetterli, M.: The contourlet transform: an efficient directional multiresolution image representation. Image Process. IEEE Trans. 14(12), 2091–2106 (2005)ADSMathSciNetCrossRefGoogle Scholar
  11. 11.
    Starck, J.L., Candès, E.J., Donoho, D.L.: The curvelet transform for image denoising. IEEE Trans. Image Process. 11(6), 670–684 (2002)ADSMathSciNetCrossRefMATHGoogle Scholar
  12. 12.
    Rajan, J., et al.: Nonlocal maximum likelihood estimation method for denoising multiple-coil magnetic resonance images. Magn. Reson. Imaging 30(10), 1512–1518 (2012)CrossRefGoogle Scholar
  13. 13.
    Wong, A., Mishra, A.K.: Quasi-Monte carlo estimation approach for denoising MRI data based on regional statistics. Biomed. Eng. IEEE Trans. 58(4), 1076–1083 (2011)CrossRefGoogle Scholar
  14. 14.
    Samsonov, A.A., Johnson, C.R.: Noise-adaptive nonlinear diffusion filtering of MR images with spatially varying noise levels. Magn. Reson. Med. 52(4), 798–806 (2004)CrossRefGoogle Scholar
  15. 15.
    Hamarneh, G., Hradsky, J.: Bilateral filtering of diffusion tensor magnetic resonance images. Image Process. IEEE Trans. 16(10), 2463–2475 (2007)ADSMathSciNetCrossRefGoogle Scholar
  16. 16.
    Lim, J.S.: Two-dimensional signal and image processing, vol 694. Prentice-Hall, Inc., Englewood Cliffs, NJ (1990)Google Scholar
  17. 17.
    Coupe, et al.: Adaptive multiresolution non-local means filter for three-dimensional magnetic resonance image denoising. Image Process. IET 6(5), 558–568 (2012)MathSciNetCrossRefGoogle Scholar
  18. 18.
    Park, S.W., Kang, M.G.: Image denoising filter based on patch-based difference refinement. Opt. Eng. 51(6), 067007-1-067007-13 (2012)ADSCrossRefGoogle Scholar
  19. 19.
    Kang, B., et al.: Noise reduction in magnetic resonance images using adaptive non-local means filtering. Electron. Lett. 49(5), 324–326 (2013)CrossRefGoogle Scholar
  20. 20.
    Yang, H., et al.: Image deblurring using empirical Wiener filter in the curvelet domain and joint non-local means filter in the spatial domain. Imaging Sci. J. 62(3), 178–185 (2014)CrossRefGoogle Scholar
  21. 21.
    He, K., Sun, J., Tang, X.: Guided image filtering. Pattern Anal. Mach. Intell. IEEE Trans. 35(6), 1397–1409 (2013)CrossRefGoogle Scholar
  22. 22.
    Shutao, L., Xudong, K., Jianwen, H.: Image fusion with guided filtering. Image Process. IEEE Trans. 22(7), 2864–2875 (2013)CrossRefGoogle Scholar
  23. 23.
  24. 24.

Copyright information

© The Optical Society of Japan 2016

Authors and Affiliations

  • Muhammad Tariq Mahmood
    • 1
  • Yeon-Ho Chu
    • 1
  • Young-Kyu Choi
    • 1
  1. 1.School of Computer Science and EngineeringKorea University of Technology and EducationCheonanKorea

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