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Reducing Noise in Complex-Valued Multi-Channel Diffusion-Weighted Data via Optimal Shrinkage of Singular Values
Khoi Minh Huynh1,2, Wei-Tang Chang2, and Pew-Thian Yap1,2
1Biomedical Engineering, UNC Chapel Hill, Chapel Hill, NC, United States, 2Department of Radiology and Biomedical Research Imaging Center (BRIC), UNC Chapel Hill, Chapel Hill, NC, United States
We show that denoising on complex-valued data, rather than the magnitude data, is a more effective means of improving diffusion-weighted images, microstructure quantification, fiber orientation estimation, and tractography.
Fig. 1. Effects on Diffusion-Weighted Images. Images for different b-values from the the original noisy dataset and after denoising with dwidenoise, VST-Mag, and OS-SVD.
Fig.3. Effects on Orientation Estimation and Tractography. OS-SVD improves estimation of the fiber orientation distribution function (fODF) and eventually tractography.