A new transform is disclosed, applying methods of group theory, with which the composition of a voxel of three channels comprising isotropic (I=0), single fiber (I=1) and multiple fiber (I=4) components can be determined, as well as the magnitude and orientation of the diffusion field. Asymmetries produced by experimental artifacts fall into channels distinct from the fiber channels, allowing their separation and a subsequent reduction in noise from the reconstructed fibers.
METHOD FOR ANALYZING MRI DIFFUSION DATA