Variational Denoising of Diffusion Weighted Mri
نویسندگان
چکیده
In this paper, we present a novel variational formulation for restor ing high angular resolution diffusion imaging (HARDI) data. The restoration formulation involves smoothing signal measurements over the spherical do main and across the 3D image lattice. The regularization across the lattice is achieved using a total variation (TV) norm based scheme, while the finite ele ment method (FEM) was employed to smooth the data on the sphere at each lattice point using first and second order smoothness constraints. Examples are presented to show the performance of the HARDI data restoration scheme and its effect on fiber direction computation on synthetic data, as well as on real data sets collected from excised rat brain and spinal cord.
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