The use of locally low-rank matrix approximation methods for noise variance reduction provides a powerful tool for diffusion MRI to increase the quality of very high b-value acquisitions. Using a clinical system, we demonstrate the feasibility of multi-shell high angular resolution diffusion imaging with b-value up to 10,000s/mm2.
Data was acquired on a 3T MAGNETOM Prisma system (Siemens), equipped with 80mT/m gradient set, in accordance with IRB approval from the university of Minnesota. Diffusion encoding was performed using four shells with b-values 1000, 3000, 6000 and 10000 s/mm2 , each with 128 directions and 15 additional b=0 volumes, in AP and PA phase encoding directions (for a total of 290 volumes). For whole brain diffusion acquisition the C2P[2] used for the human connectome[3] and life-span project was used, with MB factor=4, voxel size=2mm isotropic, TE/TR=105ms/3000ms matched for all b-values (defined by the b=10000 s/mm2 shell)
Noise variance reduction was performed on the complex-valued SENSE1 combined images, using a parameter free locally low-rank (LLR) denoising technique calibrated to the spatio-temporal incoherence of thermal noise. The Casorati matrix used for noise-removal was applied (slice by slice) to spatial patches with size 35x35, and across all 1160 volumes simultaneously.
Prior to analysis, pre-processing using eddy and topup was applied [1]. After segmentation of the white matter and identification of the corona radiata by nonlinear registration of the Johns Hopkins University white matter atlas [4], the proportion of voxels with two and up to three fibers was estimated. For each fiber, orientation’s uncertainty was obtained from FSL bedpostX [5].
The reconstruction provided by the vendor software, using the C2P, was compared with an offline reconstruction based on a parameter free LLR soft thresholding denoising method. Representative images after distortions correction (but before averaging of AP and PA volumes) for each b-value, with and without noise-variance reduction, are shown in Figure 1. For each b-value, an arbitrary scaling is applied (consistent across reconstruction methods), since the difference in signal between the low and high b-values is an order of magnitude. The column on the right shows the FA calculated from all volumes.
To assess the additional information provided by high b-values, depending on the reconstruction method employed, two subsets of the full dataset were also analyzed: One without the b=10000s/mm2 shell, and one without the two highest b-values (10000 and 6000s/mm2). The results for the proportion of white matter voxels with two or three fibers are shown in Figure 2, as well as uncertainty in Figure 3.
[1] Sotiropoulos SN et al. Advances in diffusion MRI acquisition and processing in the Human Connectome Project. Neuroimage. 2013 Oct 15;80:125-43. doi: 10.1016/j.neuroimage.2013.05.057.
[2] http://www.cmrr.umn.edu/multiband
[3] Ugurbil K, Pushing spatial and temporal resolution for functional and diffusion MRI in the Human Connectome Project. Neuroimage. 2013 Oct 15;80:80-104. doi: 10.1016/j.neuroimage.2013.05.012. Epub 2013 May 21.
[4 ]Wakana S. Reproducibility of quantitative tractography methods applied to cerebral white matter NeuroImage, 36 (2007), pp. 630–644
[5] Jenkinson M. FSL, Neuroimage. 2012 Aug 15;62(2):782-90