Abstract
Medical image denoising is a very important and challenging area in the field of image processing. Magnetic resonance imaging is a very popular and most effective imaging technique. During the acquisition, MR images get affected by random noise which could be modeled as Gaussian or Rician distribution. In the past few decades, a wide variety of denoising techniques have been proposed. This paper presents a survey of advancements proposed for the denoising of magnetic resonance images. The performance of most significant image denoising domains has been analyzed qualitatively as well as quantitatively on the basis of mean square error and peak signal-to-noise ratio.
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References
Angenent, S., Pichon, E., Tannenbaum, A.: Mathematical methods in medical image processing. Bull. (New Ser.) Am. Math. Soc. (2005)
Roentgen, W.C.: Ueber eine neue Art von Strahlen. Ann. Phys. 64, 1–37 (1898)
Gudbjartsson, H., Patz, S.: The Rician distribution of noisy MRI data. Magn. Reson. Med. 34(6), 910–914 (1995)
Mohana∗, J., Krishnavenib, V., Guoca, Y.: A survey on the magnetic resonance image denoising methods. Biomed. Signal Process. Control 9, 56–69 (2014)
Weaver, J.B., Xu, Y., Healy, D.M., Cromwell, L.D.: Filtering noise from images withwavelet transforms. Magn. Reson. Imaging 21, 288–295 (1991)
Nowak, R.D.: Wavelet-based Rician noise removal for magnetic resonance imaging. IEEE Trans. Image Process. 8, 1408–1419 (1999)
Wood, J.C., Johnson, K.M.: Wavelet packet denoising of magnetic resonanceimages: importance of Rician noise at low SNR. Magn. Reson. Med. 41, 631–635 (1999)
Zaroubi, S., Goelman, G.: Complex denoising of MR data via wavelet analysis:application for functional MRI. Magn. Reson. Imaging 18, 59–68 (2000)
Alexander, M.E., Baumgartner, R., Summers, A.R., Windischberger, C., Klarhoefer, M., Moser, E., Somorjai, R.L.: A wavelet-based method for improvingsignal-to-noise ratio and contrast in MR images. Magn. Reson. Imaging 18, 169–180 (2000)
Bao, P., Zhang, L.: Noise reduction for magnetic resonance images via adap-tive multiscale products thresholding. IEEE Trans. Med. Imaging 22, 1089–1099 (2003)
Placidi, G., Alecci, M., Sotgiu, A.: Post-processing noise removal algorithm formagnetic resonance imaging based on edge detection and wavelet analysis. Phys. Med. Biol. 48, 1987–1995 (2003)
Yu, H., Zhao, L.: An efficient denoising procedure for magnetic resonance imaging. In: Proceedings of IEEE 2nd International Conference on Bioinformatics and Biomedical Engineering, pp. 2628–2630 (2008)
Tan,L., Shi, L.: Multiwavelet-based estimation for improving magnetic reso-nance images. In: Proceedings of IEEE Conference, pp. 1–5 (2009)
Wu, Z.Q., Ware, J.A., Jiang, J.: Wavelet-based Rayleigh background removal inMRI. IEEE Electron. Lett. 39, 603–605 (2003)
Starck, J.L., Candes, E.J., Donoho, D.L.: The curvelet transform for image denois-ing. IEEE Trans. Image Process. 11, 670–684 (2002)
Ma, J., Plonka, G.: Combined curvelet shrinkage and nonlinear anisotropic dif-fusion. IEEE Trans. Image Process. 16, 2198–2206 (2007)
Do, M.N., Vetterli, M.: The contourlet transform: an efficient directional mul-tiresolution image representation. IEEE Trans. Image Process. 14, 2091–2106 (2005)
Jiang, L., Yang, W.: Adaptive magnetic resonance image denoising using mixture model and wavelet shrinkage. In: Sun, C., Talbot, H., Ourselin, S., Adriaansen, T. (eds.) Proceedings of VIIth Digital Image Computing: Techniques and Applications, The University of Queensland, Sydney, Australia. St. Lucia, Australia, pp. 831–838 (2003)
Sijbers, J., Poot, D., den Dekker, A.J., Pintjenst, W.: Automatic estimation of thenoise variance from the histogram of a magnetic resonance image. Phys. Med. Biol. 52, 1335–1348 (2007)
Rajan, J., Poot, D., Juntu, J., Sijbers, J.: Noise measurement from magnitude MRI using local estimates of variance and skewness. Phys. Med. Biol. 55, 441–449 (2010)
Rajan, J., Jeurissen, B., Verhoye, M., Audekerke, J.V., Sijbers, J.: Maximum like-lihood estimation-based denoising of magnetic resonance images usingrestriced local neighborhoods. Phys. Med. Biol. 56, 5221–5234 (2011)
Aja-Fernández, S., Alberola-López, C., Westin, C.F.: Noise and signal estimationin magnitude MRI and Rician distributed images: a LMMSE approach. IEEETrans. Image Process. 17, 1383–1398 (2008)
Golshan, H.M., Hasanzedeh, R.P.R., Yousefzadeh, S.C.: An MRI denoising method using data redundancy and local SNR estimation. Magn. Reson. Imaging 31, 1206–1217 (2013)
Tisdall, D., Atkins, M.S.: MRI denoising via phase error estimation. Proc. SPIE 5747, 646–654 (2005)
McVeigh, E.R., Henkelman, R.M., Bronskill, M.J.: Noise and filtration in magnetic resonance imaging. Med. Phys. 12, 586–591 (1985)
Perona, P., Malik, J.: Scale-space and edge detection using anisotropic diffusion. IEEE Trans. Pattern Anal. Mach. Intell. 12, 629–639 (1990)
Tomasi, C., Manduchi, R.: Bilateral filtering for gray and color images. In: Presented at the 6th International Conference Computer Vision, Bombay, India, pp. 839–846 (1998)
Coupe, P., Yger, P., Barillot, C.: Fast non local means denoising for 3D MR images. In: Larsen, R., Nielsen, M., Sporring, J. (eds.) MICCAI 2006. LNCS, vol. 4191, pp. 33–40 (2006)
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(4) (2008)
Manjon, J.V., Coupe, P., Buades, A., Louis Collins, D., Robles, M.: New methods for MRI denoising based on sparseness and self-similarity. Med. Image Anal. 16(1), 8–27 (2012)
Coupe, P., Manjon, J.V., Robles, M., Collins, D.L.: Adaptive multiresolution non-local means filter for three-dimensional magnetic resonance image denoising. IET Image Process. 6(5), 558–568 (2012)
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)
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)
Maggioni, M., Katkovnik, V., Egiazarian, K., Foi, A.: Nonlocal transform-domain filter for volumetric data denoising and reconstruction. IEEE Trans. Image Process. 22(1) (2013)
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Sharma, A., Chaurasia, V. (2019). A Review on Magnetic Resonance Images Denoising Techniques. In: Tanveer, M., Pachori, R. (eds) Machine Intelligence and Signal Analysis. Advances in Intelligent Systems and Computing, vol 748. Springer, Singapore. https://doi.org/10.1007/978-981-13-0923-6_60
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DOI: https://doi.org/10.1007/978-981-13-0923-6_60
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