Skip to main content

Brain MR Image Denoising for Rician Noise Using Intrinsic Geometrical Information

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 363))

Abstract

A new image denoising algorithm based on nonsubsampled contourlet transform is presented. Magnetic Resonance (MR) images corrupted by Rician noise are transformed into multi-scale and multi-directional contour information, where a nonlinear mapping function is used to modify the contour coefficients at each level. The denoising is achieved by improving edge sharpness and inhibiting the background noise. Experiments show the proposed algorithm preserves the intrinsic geometrical information of the noised MR image and can be effectively applied to T1-, T2-, and PD-weighted MR images without any parameter tuning under diverse noise levels.

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

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Notes

  1. 1.

    The nonsubsampled contourlet toolbox used in this paper can be downloaded at http://www.mathworks.com/matlabcentral/fileexchange/10049-nonsubsampled-contourlet-toolbox.

References

  1. Ashburner, J., Friston, K.J.: Voxel-based morphometry-the methods. NeuroImage 11(6), 805–821 (2000)

    Article  Google Scholar 

  2. Bamberger, R.H., Smith, M.J.T.: A filter bank for the directional decomposition of images: theory and design. IEEE Trans. Sig. Process. 40(4), 882–893 (1992)

    Article  Google Scholar 

  3. Buades, A., Coll, B., Morel, J.M.: A non-local algorithm for image denoising. Computer Vision and Pattern Recognition. CVPR 2005. IEEE Computer Society Conference on 2, 60–65 (2005)

    Google Scholar 

  4. Chang, S., Yu, B., Vetterli, M.: Spatially adaptive wavelet thresholding with context modeling for image denoising. IEEE Trans. Image Process. 9(9), 1522–1531 (2000)

    Article  MathSciNet  MATH  Google Scholar 

  5. Cocosco, C.A., Kollokian, V., Kwan, Evans, A.C.: BrainWeb: Online interface to a 3D MRI simulated brain database. NeuroImage 5(4) (1997)

    Google Scholar 

  6. da Cunha, A., Zhou, J., Do, M.: The nonsubsampled contourlet transform: Theory, design, and applications. IEEE Trans. Image Process. 15(10), 3089–3101 (2006)

    Article  Google Scholar 

  7. Do, M., Vetterli, M.: The contourlet transform: An efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106 (2005)

    Article  MathSciNet  Google Scholar 

  8. Gudbjartsson, H., Patz, S.: The Rician distribution of noisy MRI data. Magn. Reson. Med. 34, 910–914 (1995)

    Article  Google Scholar 

  9. Huynh-Thu, Q., Ghanbari, M.: Scope of validity of PSNR in image/video quality assessment. Electron. Lett. 44(13), 800–801 (2008)

    Article  Google Scholar 

  10. Livin, M., Luthon, F., Keeve, E.: Entropic estimation of noise for medical volume restoration. Proceedings of the 16th International Conference on Pattern Recognition, 16(3), 871–874 (2002)

    Google Scholar 

  11. Luisier, F., Blu, T., Unser, M.: A new SURE approach to image denoising: Interscale orthonormal wavelet thresholding. IEEE Trans. Image Process. 16(3), 593–606 (2007)

    Article  MathSciNet  Google Scholar 

  12. Manjn, J.V., Carbonell-Caballero, J., Lull, J.J., Garca-Mart, G., Mart-Bonmat, L., Robles, M.: MRI denoising using non-local means. Med. Image Anal. 12(4), 514–523 (2008)

    Google Scholar 

  13. Pizurica, A., Philips, W., Lemahieu, I., Acheroy, M.: A versatile wavelet domain noise filtration technique for medical imaging. IEEE Trans. Med. Imaging 22(3), 323–331 (2003)

    Article  Google Scholar 

  14. Po, D.Y., Do, M.: Directional multiscale modeling of images using the contourlet transform. IEEE Trans. Image Process. 15(6), 1610–1620 (2006)

    Article  MathSciNet  Google Scholar 

  15. Rajan, J., Jeurissen, B., Verhoye, M., Audekerke, J.V., Sijbers, J.: Maximum likelihood estimation-based denoising of magnetic resonance images using restricted local neighborhoods. Phys. Med. Biol. 56(16), 5221 (2011)

    Article  Google Scholar 

  16. Samsonov, A., Johnson, C.: Noise-adaptive nonlinear diffusion filtering of MR images with spatially varying noise levels. Magn. Reson. Med. 52(4), 798–806 (2004)

    Article  Google Scholar 

  17. Soyel, H., McOwan, P.: Automatic image enhancement using intrinsic geometrical information. Electron. Lett. 48(15), 917–919 (2012)

    Article  MATH  Google Scholar 

  18. Starck, J.L., Candes, E., Donoho, D.: The curvelet transform for image denoising. IEEE Trans. Image Process. 11(6), 670–684 (2002)

    Article  MathSciNet  Google Scholar 

  19. Wang, Z., Bovik, A., Sheikh, H., Simoncelli, E.: Image quality assessment: from error visibility to structural similarity. IEEE Trans. Image Process. 13(4), 600–612 (2004)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Hamit Soyel .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this paper

Cite this paper

Soyel, H., Yurtkan, K., Demirel, H., McOwan, P.W. (2016). Brain MR Image Denoising for Rician Noise Using Intrinsic Geometrical Information. In: Abdelrahman, O., Gelenbe, E., Gorbil, G., Lent, R. (eds) Information Sciences and Systems 2015. Lecture Notes in Electrical Engineering, vol 363. Springer, Cham. https://doi.org/10.1007/978-3-319-22635-4_25

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-22635-4_25

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-22634-7

  • Online ISBN: 978-3-319-22635-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics