Noise Reduction in Magnetic Resonance Images using Wave Atom Shrinkage

De-noising is always a challenging problem in magnetic resonance imaging and important for clinical diagnosis and computerized analysis, such as tissue classification and segmentation. It is well known that the noise in magnetic resonance imaging has a Rician distribution. Unlike additive Gaussian noise, Rician noise is signal dependent, and separating signal from noise is a difficult task. An efficient method for enhancement of noisy magnetic resonance image using wave atom shrinkage is proposed. The reconstructed MRI data have high Signal to Noise Ratio (SNR) compared to the curvelet and wavelet domain denoising approaches.

[1]  J.B.T.M. Roerdink,et al.  A review of wavelet denoising in MRI and ultrasound brain imaging , 2006 .

[2]  John W. Fisher,et al.  A Unified Variational Approach to Denoising and Bias Correction in MR , 2003, IPMI.

[3]  Guido Gerig,et al.  Nonlinear anisotropic filtering of MRI data , 1992, IEEE Trans. Medical Imaging.

[4]  R. Henkelman Measurement of signal intensities in the presence of noise in MR images. , 1985, Medical physics.

[5]  Jean-Michel Morel,et al.  A non-local algorithm for image denoising , 2005, 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05).

[6]  H. Gudbjartsson,et al.  The rician distribution of noisy mri data , 1995, Magnetic resonance in medicine.

[7]  G E Santyr,et al.  Physical MR desktop data. , 1993, Journal of magnetic resonance imaging : JMRI.

[8]  W. Perman,et al.  Improved detectability in low signal-to-noise ratio magnetic resonance images by means of a phase-corrected real reconstruction. , 1989, Medical physics.

[9]  G. Cottet,et al.  Image processing through reaction combined with nonlinear diffusion , 1993 .

[10]  Arvid Lundervold,et al.  Noise removal using fourth-order partial differential equation with applications to medical magnetic resonance images in space and time , 2003, IEEE Trans. Image Process..

[11]  M. Dylan Tisdall,et al.  MRI denoising via phase error estimation , 2005, SPIE Medical Imaging.

[12]  M. Bronskill,et al.  Noise and filtration in magnetic resonance imaging. , 1985, Medical physics.

[13]  Jean-Michel Morel,et al.  A Review of Image Denoising Algorithms, with a New One , 2005, Multiscale Model. Simul..

[14]  W. Edelstein,et al.  The intrinsic signal‐to‐noise ratio in NMR imaging , 1986, Magnetic resonance in medicine.

[15]  A. Macovski Noise in MRI , 1996, Magnetic resonance in medicine.