MRI denoising using Non-Local Means

Magnetic Resonance (MR) images are affected by random noise which limits the accuracy of any quantitative measurements from the data. In the present work, a recently proposed filter for random noise removal is analyzed and adapted to reduce this noise in MR magnitude images. This parametric filter, named Non-Local Means (NLM), is highly dependent on the setting of its parameters. The aim of this paper is to find the optimal parameter selection for MR magnitude image denoising. For this purpose, experiments have been conducted to find the optimum parameters for different noise levels. Besides, the filter has been adapted to fit with specific characteristics of the noise in MR image magnitude images (i.e. Rician noise). From the results over synthetic and real images we can conclude that this filter can be successfully used for automatic MR denoising.

[1]  Albert C. S. Chung,et al.  Trilateral Filtering: A Non-linear Noise Reduction Technique for MRI , 2004 .

[2]  Ignacio Blanquer,et al.  Using the Grid to Analyze the Pharmacokinetic Modelling after Contrast Administration in Dynamic MRI , 2006, HealthGrid.

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

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

[5]  Aleksandra Pizurica,et al.  A versatile wavelet domain noise filtration technique for medical imaging , 2003, IEEE Transactions on Medical Imaging.

[6]  Stephen M. Smith,et al.  SUSAN—A New Approach to Low Level Image Processing , 1997, International Journal of Computer Vision.

[7]  Kevin M. Johnson,et al.  Wavelet packet denoising of magnetic resonance images: Importance of Rician noise at low SNR , 1999, Magnetic resonance in medicine.

[8]  Alan C. Bovik,et al.  Smoothing low-SNR molecular images via anisotropic median-diffusion , 2002, IEEE Transactions on Medical Imaging.

[9]  Guillermo Sapiro,et al.  Fast image and video denoising via nonlocal means of similar neighborhoods , 2005, IEEE Signal Processing Letters.

[10]  Jitendra Malik,et al.  Scale-Space and Edge Detection Using Anisotropic Diffusion , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[11]  Karl J. Friston,et al.  Voxel-based morphometry , 2007 .

[12]  Alexei A Samsonov,et al.  Noise‐adaptive nonlinear diffusion filtering of MR images with spatially varying noise levels , 2004, Magnetic resonance in medicine.

[13]  Leonid P. Yaroslavsky,et al.  Digital Picture Processing: An Introduction , 1985 .

[14]  Robert D. Nowak,et al.  Wavelet-based Rician noise removal for magnetic resonance imaging , 1999, IEEE Trans. Image Process..

[15]  Roberto Manduchi,et al.  Bilateral filtering for gray and color images , 1998, Sixth International Conference on Computer Vision (IEEE Cat. No.98CH36271).

[16]  N. Otsu A threshold selection method from gray level histograms , 1979 .

[17]  Erwin Keeve,et al.  Entropic estimation of noise for medical volume restoration , 2002, Object recognition supported by user interaction for service robots.

[18]  Karl J. Friston,et al.  Voxel-Based Morphometry—The Methods , 2000, NeuroImage.

[19]  J. Sijbers,et al.  Maximum likelihood estimation of signal amplitude and noise variance from MR data , 2004, Magnetic resonance in medicine.

[20]  L. Rudin,et al.  Nonlinear total variation based noise removal algorithms , 1992 .