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
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsNotes
- 1.
The nonsubsampled contourlet toolbox used in this paper can be downloaded at http://www.mathworks.com/matlabcentral/fileexchange/10049-nonsubsampled-contourlet-toolbox.
References
Ashburner, J., Friston, K.J.: Voxel-based morphometry-the methods. NeuroImage 11(6), 805–821 (2000)
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)
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)
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)
Cocosco, C.A., Kollokian, V., Kwan, Evans, A.C.: BrainWeb: Online interface to a 3D MRI simulated brain database. NeuroImage 5(4) (1997)
da Cunha, A., Zhou, J., Do, M.: The nonsubsampled contourlet transform: Theory, design, and applications. IEEE Trans. Image Process. 15(10), 3089–3101 (2006)
Do, M., Vetterli, M.: The contourlet transform: An efficient directional multiresolution image representation. IEEE Trans. Image Process. 14(12), 2091–2106 (2005)
Gudbjartsson, H., Patz, S.: The Rician distribution of noisy MRI data. Magn. Reson. Med. 34, 910–914 (1995)
Huynh-Thu, Q., Ghanbari, M.: Scope of validity of PSNR in image/video quality assessment. Electron. Lett. 44(13), 800–801 (2008)
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)
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)
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)
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)
Po, D.Y., Do, M.: Directional multiscale modeling of images using the contourlet transform. IEEE Trans. Image Process. 15(6), 1610–1620 (2006)
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)
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)
Soyel, H., McOwan, P.: Automatic image enhancement using intrinsic geometrical information. Electron. Lett. 48(15), 917–919 (2012)
Starck, J.L., Candes, E., Donoho, D.: The curvelet transform for image denoising. IEEE Trans. Image Process. 11(6), 670–684 (2002)
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)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights 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)