Deblurring of probabilistic ODFs in quantitative diffusion MRI

The Funk-Radon Transform allows to approximate the central section integral of the diffusion signal to compute probabilistic Orientation Distribution Functions (ODF) of fiber populations, provided the behavior for the b-values not acquired is known. To relax the latter demand, it has been proposed to compute instead the integral inside the disk defined in the central section by the b-value acquired. The price to pay is low-pass filtering the ODF, cropping the information it provides. We propose a method to palliate this problem with negligible computational overload. Not only it improves the accuracy in the determination of the diffusion directions, but it also refines the crossing angles that can be resolved.