Impact of Rician Adapted Non-Local Means Filtering on HARDI

In this paper we study the impact of denoising the raw high angular resolution diffusion imaging (HARDI) data with the Non-Local Means filter adapted to Rician noise (NLMr). We first show that NLMr filtering improves robustness of apparent diffusion coefficient (ADC) and orientation distribution function (ODF) reconstructions from synthetic HARDI datasets. Our results suggest that the NLMr filtering improve the quality of anisotropy maps computed from ADC and ODF and improve the coherence of q-ball ODFs with the underlying anatomy while not degrading angular resolution. These results are shown on a biological phantom with known ground truth and on a real human brain dataset. Most importantly, we show that multiple measurements of diffusion-weighted (DW) images and averaging these images along each direction can be avoided because NLMr filtering of the individual DW images produces better quality generalized fractional anisotropy maps and more accurate ODF fields than when computed from the averaged DW datasets.

[1]  T. Mareci,et al.  Generalized diffusion tensor imaging and analytical relationships between diffusion tensor imaging and high angular resolution diffusion imaging , 2003, Magnetic resonance in medicine.

[2]  Derek K. Jones,et al.  “Squashing peanuts and smashing pumpkins”: How noise distorts diffusion‐weighted MR data , 2004, Magnetic resonance in medicine.

[3]  Ross T. Whitaker,et al.  Rician Noise Removal in Diffusion Tensor MRI , 2006, MICCAI.

[4]  Jerry L. Prince,et al.  Diffusion Tensor Estimation by Maximizing Rician Likelihood , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[5]  R. Deriche,et al.  Regularized, fast, and robust analytical Q‐ball imaging , 2007, Magnetic resonance in medicine.

[6]  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).

[7]  Peter Savadjiev,et al.  3D curve inference for diffusion MRI regularization and fibre tractography , 2006, Medical Image Anal..

[8]  Pierrick Coupé,et al.  Non-Local Means Variants for Denoising of Diffusion-Weighted and Diffusion Tensor MRI , 2007, MICCAI.

[9]  Carl-Fredrik Westin,et al.  Restoration of DWI Data Using a Rician LMMSE Estimator , 2008, IEEE Transactions on Medical Imaging.

[10]  Yijun Liu,et al.  Estimation, smoothing, and characterization of apparent diffusion coefficient profiles from High Angular Resolution DWI , 2004, Proceedings of the 2004 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, 2004. CVPR 2004..

[11]  Luc Brun,et al.  Fiber Tracking on HARDI Data using Robust ODF Fields , 2007, 2007 IEEE International Conference on Image Processing.

[12]  Nicholas Ayache,et al.  Clinical DT-MRI estimation, smoothing and fiber tracking with Log-Euclidean metrics , 2006, 3rd IEEE International Symposium on Biomedical Imaging: Nano to Macro, 2006..

[13]  L. Frank Characterization of anisotropy in high angular resolution diffusion‐weighted MRI , 2002, Magnetic resonance in medicine.

[14]  Pierrick Coupé,et al.  Rician Noise Removal by Non-Local Means Filtering for Low Signal-to-Noise Ratio MRI: Applications to DT-MRI , 2008, MICCAI.

[15]  T. Gasser,et al.  Residual variance and residual pattern in nonlinear regression , 1986 .

[16]  Nicholas Ayache,et al.  Medical Image Computing and Computer-Assisted Intervention - MICCAI 2007, 10th International Conference, Brisbane, Australia, October 29 - November 2, 2007, Proceedings, Part I , 2007, MICCAI.

[17]  R. Deriche,et al.  Apparent diffusion coefficients from high angular resolution diffusion imaging: Estimation and applications , 2006, Magnetic resonance in medicine.

[18]  S. Arridge,et al.  Detection and modeling of non‐Gaussian apparent diffusion coefficient profiles in human brain data , 2002, Magnetic resonance in medicine.

[19]  Lasse Riis Østergaard,et al.  Active Surface Approach for Extraction of the Human Cerebral Cortex from MRI , 2006, MICCAI.

[20]  Giovanna Rizzo,et al.  Noise Correction on Rician Distributed Data for Fibre Orientation Estimators , 2008, IEEE Transactions on Medical Imaging.