A wavelet multiscale denoising algorithm for magnetic resonance (MR) images

Measurement Science and Technology

Volumn 22, Issue 2, 2011, Pages

  Yang, Xiaofeng ^a,b   Fei, Baowei ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b EMORY UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Magnetic resonance imaging (MRI); Multiscale denoising; Radon transform; Rician distribution; Translation invariant; Wavelet transform

Indexed keywords

GAUSSIAN NOISE (ELECTRONIC); IMAGE PROCESSING; INVERSE PROBLEMS; MAGNETIC RESONANCE IMAGING; MATHEMATICAL TRANSFORMATIONS; WAVELET TRANSFORMS;

DE-NOISING; INVERSE RADON TRANSFORMS; RADON TRANSFORM; RICIAN DISTRIBUTION; TRANSLATION INVARIANT WAVELET TRANSFORM; TRANSLATION INVARIANTS; WAVELET DENOISING METHOD; WAVELET MULTI-SCALE DENOISING;

IMAGE DENOISING;

EID: 79251474039     PISSN: 09570233     EISSN: 13616501     Source Type: Journal    
DOI: 10.1088/0957-0233/22/2/025803     Document Type: Article

References (34)

1. Moseley M E, Liu C, Rodriguez S and Brosnan T 2009 Advances in magnetic resonance neuroimaging Neurol. Clin. 27 271-19
2. Petersson K M, Nichols T E, Poline J B and Holmes A P 1999 Statistical limitations in functional neuroimaging: I. Non-inferential methods and statistical models Phil. Trans. R. Soc. B 354 1239-60
3. Gerig G, Kubler O, Kikinis R and Jolesz F A 1992 Nonlinear anisotropic filtering of MRI data IEEE Trans. Med. Imaging 11 221-32
4. Alexei A S and Chris R J 2004 Noise-adaptive nonlinear diffusion filtering of MR images with spatially varying noise levels Magn. Reson. Med. 52 798-806
5. Murase K, Yamazaki Y, Shinohara M, Kawakami K, Kikuchi K, Miki H, Mochizuki T and Ikezoe J 2001 An anisotropic diffusion method for denoising dynamic susceptibility contrast-enhanced magnetic resonance images Phys. Med. Biol. 46 2713-23
6. McGraw T, Vemuri B C, Chen Y, Rao M and Mareci T 2004 DT-MRI denoising and neuronal fiber tracking Med. Image Anal. 8 95-111
7. Delakis I, Hammad O and Kitney R I 2007 Wavelet-based de-noising algorithm for images acquired with parallel magnetic resonance imaging (MRI) Phys. Med. Biol. 52 3741-51
8. Weaver J B, Xu y S, Healy D M and Cromwell L D 1991 Filtering noise from images with wavelet transforms Magn. Reson. Med. 21 288-95
9. Yang X, Li P, Zhang X, Bian Z and Wang B 2007 De-noising of the Doppler fetal heart rate signal with wavelet threshold filtering based on spatial correlation 1st Int. Conf. IEEE on Bioinformatics and Biomedical Engineering, ICBBE 2007 pp 928-31
10. Healy D M and Weaver J B 1992 Two applications of wavelet transforms in magnetic resonance imaging IEEE Trans. Inf. Theory 38 840-60
11. Nowak R D 1999 Wavelet-based Rician noise removal for magnetic resonance imaging IEEE Trans. Image Process. 8 1408-19
12. Pizurica A, Philips W, Lemahieu I and Acheroy M 2003 A versatile wavelet domain noise filtration technique for medical imaging IEEE Trans. Med. Imaging 22 323-31
13. Wink A M and Roerdink J B T M 2004 Denoising functional MR images: a comparison of wavelet denoising and Gaussian smoothing IEEE Trans. Med. Imaging 23 374-87
14. Wirestam R, Bibic A, Latt J, Brockstedt S and Stahlberg F 2006 Denoising of complex MRI data by wavelet-domain filtering: application to high-b-value diffusion-weighted imaging Magn. Reson. Med. 56 1114-20
15. Basu S, Fletcher T and Whitaker R 2006 Rician noise removal in diffusion tensor MRI Medical Image Computing and Computer-Assisted Intervention, MICCAI 2006 pp 117-25
16. Awate S P and Whitaker R T 2007 Feature-preserving MRI denoising: a nonparametric empirical Bayes approach IEEE Trans. Med. Imaging 26 1242-55
17. Manjan J V, Carbonell-Caballero J, Lull J J, Garcia-Marti G, Marti-Bonmati L and Robles M 2008 MRI denoising using Non-Local Means Med. Image Anal. 12 514-23
18. Jose V M, Neil A Thacker, Juan J Lull and Gracian Garcia-Marti 2009 Multicomponent MR image denoising Int. J. Biomed. Imaging 2009 897-907
19. Macovski A 1996 Noise in MRI Magn. Reson. Med. 36 494-7
20. Anand C S and Sahambi J S 2008 MRI denoising using bilateral filter in redundant wavelet domain TENCON 2008-IEEE Region 10 Conf. pp 1-6
21. Gudbjartsson H and Patz S 1995 The Rician distribution of noisy MRI data Magn. Reson. Med. 34 910-4
22. Sijbers J, Den Dekker A J, Van Audekerke J, Verhoye M and Van Dyck D 1998 Estimation of the noise in magnitude MR images Magn. Reson. Imaging 16 87-90
23. Jafari-Khouzani K and Soltanian-Zadeh H 2005 Rotation-invariant multiresolution texture analysis using Radon and wavelet transforms IEEE Trans. Image Process. 14 783-95
24. Ayres C F 2000 A variational approach to MR bias correction MSc Thesis University of Minnesota, MN, USA
25. Mallat S G 1989 A theory for multiresolution signal decomposition-the wavelet representation IEEE Trans. Pattern Anal. Mach. Intell. 11 674-93
26. Pesquet J C, Krim H and Carfantan H 1996 Time-invariant orthonormal wavelet representations IEEE Trans. Signal Process. 44 1964-70
27. Jean-Luc S, Candes e J and Donoho D L 2002 The curvelet transform for image denoising IEEE Trans. Image Process. 11 670-84
28. Do M N and Vetterli M 2003 The finite ridgelet transform for image representation IEEE Trans. Image Process. 12 16-28
29. Donoho D L 1995 Denoising by soft-thresholding IEEE Trans. Inf. Theory 41 613-27
30. Yazgan B, Paker S and Kartal M 1992 Image reconstruction with diffraction tomography using different inverse Radon transform algorithms Proc. 1992 Int. Biomedical Engineering Days pp 170-3
31. Nam-Yong L and Lucier B J 2001 Wavelet methods for inverting the Radon transform with noisy data IEEE Trans. Image Process. 10 79-94
32. Horbelt S, Liebling M and Unser M 2002 Discretization of the Radon transform and of its inverse by spline convolutions IEEE Trans. Med. Imaging 21 363-76
33. Skiadopoulos S, Karatrantou A, Korfiatis P, Costaridou L, Vassilakos P, Apostolopoulos D and Panayiotakis G 2009 Evaluating image denoising methods in myocardial perfusion single photon emission computed tomography (SPECT) imaging Meas. Sci. Technol. 20 104-23
34. Kwan R K S, Evans A C and Pike G B 1999 MRI simulation-based evaluation of image-processing and classification methods IEEE Trans. Med. Imaging 18 1085-97