Skip to main content
Log in

Hybrid Method for Gibbs-Ringing Artifact Suppression in Magnetic Resonance Images

  • Published:
Programming and Computer Software Aims and scope Submit manuscript

Abstract

Suppression of ringing artifacts in images is a well-known image restoration problem. Gibbs-ringing artifacts occur when, in the process of magnetic resonance imaging, the source data from the frequency domain are mapped onto the spatial domain by using the discrete Fourier transform. The artifacts are caused by the incompleteness of these data, which, in turn, is due to cutting off the high frequencies of the Fourier spectrum. In this paper, we propose a hybrid method for Gibbs-ringing artifact suppression in magnetic resonance images that combines a deep learning model and a classical non-machine-learning algorithm for Gibbs-ringing artifact suppression based on optimal subvoxel shifts.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

Similar content being viewed by others

Notes

  1. http://brain-development.org/ixi-dataset.

  2. https://github.com/MaksimPenkin/DGAS9-CNN.

REFERENCES

  1. Senyukova, O. and Zubov, A., Full anatomical labeling of magnetic resonance images of human brain by registration with multiple atlases, Program. Comput. Software, 2016, vol. 46, no. 6, pp. 356–360.

    Article  MathSciNet  Google Scholar 

  2. Gottlieb, D. and Orszag, S., Numerical Analysis of Spectral Methods: Theory and Application, SIAM, 1977.

    Book  Google Scholar 

  3. Gray, A. and Pinsky, M., Gibbs phenomenon for Fourier–Bessel series, Expositiones Mathematicae, 1993, vol. 11.

  4. Pinsky, M.A., Fourier inversion for piecewise smooth functions in several variables, Proc. Am. Math. Soc., 1993, vol. 118, no. 3, pp. 903–910.

    Article  MathSciNet  Google Scholar 

  5. Pinsky, M.A., Pointwise Fourier inversion in several variables, Not. Am. Math. Soc., 1995, vol. 42, no. 3, pp. 330–334.

    MathSciNet  MATH  Google Scholar 

  6. Mallat, S., A Wavelet Tour of Signal Processing: The Sparse Way, Academic, 2008, 3rd ed.

    MATH  Google Scholar 

  7. Kellner, E., Dhital, B., Kiselev, V.G., and Reisert, M., Gibbs-ringing artifact removal based on local subvoxel-shifts, Magn. Reson. Med., 2016, vol. 76, no. 5, pp. 1574–1581.

    Article  Google Scholar 

  8. Sitdikov, I.T. and Krylov, A.S., Variational image deringing using varying regularization parameter, Patern Recognit. Image Anal., 2015, vol. 25, no. 1, pp. 96–100.

    Article  Google Scholar 

  9. Umnov, A.V. and Krylov, A.S., Sparse approach to image ringing detection and suppression, Patern Recognit. Image Anal., 2017, vol. 27, no. 4, pp. 754–762.

    Article  Google Scholar 

  10. Ronneberger, O., Fischer, P., and Brox, T., U-net: Convolutional networks for biomedical image segmentation, Proc. Int. Conf. MICCAI, 2015, pp. 234–241.

  11. Sinha, A. and Dolz, J., Multi-scale self-guided attention for medical image segmentation, IEEE J. Biomed. Health Inf., 2021, vol. 25, no. 1, pp. 121–130.

    Article  Google Scholar 

  12. Krylov, A., Karnaukhov, V., Mamaev, N., and Khvostikov, A., Hybrid method for biomedical image denoising, Proc. 4th Int. Conf. Biomedical Imaging, Signal Processing, 2019, pp. 60–64.

  13. Wang, Y., Song, Y., Xie, H., et al., Reduction of Gibbs artifacts in magnetic resonance imaging based on Convolutional Neural Network, Proc. 10th Int. Congr. Image and Signal Processing, Biomedical Engineering and Informatics (CISP-BMEI), 2017, pp. 1–5.

  14. Zhao, X., Zhang, H., Zhou, Y., et al., Gibbs-ringing artifact suppression with knowledge transfer from natural images to MR images, Multimedia Tools Appl., 2019, pp. 1–23.

  15. Penkin, M., Krylov, A., and Khvostikov, A., Attention-based convolutional neural network for MRI Gibbs-ringing artifact suppression, CEUR Workshop Proc., 2020, vol. 2744, pp. 1–12.

    Google Scholar 

  16. Lim, B., Son, S., Kim, H., et al., Enhanced deep residual networks for single image super-resolution, Proc. CVPR IEEE Conf., 2017, pp. 136–144.

  17. He, K., Zhang, X., Ren, S., and Sun, J., Deep residual learning for image recognition, Proc. CVPR IEEE Conf., 2016, pp. 770–778.

  18. Zhang, M. and Gunturk, B.K., Multiresolution bilateral filtering for image denoising, IEEE Trans. Image Process., 2008, vol. 17, no. 12, pp. 2324–2333.

    Article  MathSciNet  Google Scholar 

  19. Manj'on, J.V., Coup, P., Buades, A., et al., Non-local MRI upsampling, Med. Image Anal., 2010, vol. 14, no. 6, pp. 784–792.

    Article  Google Scholar 

  20. Hore, A. and Ziou, D., Image quality metrics: PSNR vs. SSIM, Proc. 20th Int. Conf. Pattern Recognition, 2010, pp. 2366–2369.

  21. Hanin, B., Which neural net architectures give rise to exploding and vanishing gradients?, Adv. Neural Inf. Process. Syst., 2018, pp. 582–591.

  22. Ioffe, S. and Szegedy, C., Batch normalization: Accelerating deep network training by reducing internal covariate shift, 2015, arXiv preprint no. 1502.03167.

  23. Santurkar, S., Tsipras, D., Ilyas, A., and Madry, A., How does batch normalization help optimization?, Adv. Neural Inf. Process. Syst., 2018, pp. 2483–2493.

  24. Kingma, D.P. and Ba, J., Adam: A method for stochastic optimization, 2014, arXiv preprint no. 1412.6980.

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to M. A. Penkin, A. S. Krylov or A. V. Khvostikov.

Additional information

Translated by Yu. Kornienko

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Penkin, M.A., Krylov, A.S. & Khvostikov, A.V. Hybrid Method for Gibbs-Ringing Artifact Suppression in Magnetic Resonance Images. Program Comput Soft 47, 207–214 (2021). https://doi.org/10.1134/S0361768821030087

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0361768821030087

Navigation