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An Optimal Dimensionality Sampling Scheme on the Sphere with Accurate and Efficient Spherical Harmonic Transform for Diffusion MRI

Bates, Alice P.;Khalid, Zubair;Kennedy, Rodney


We design a sampling scheme on the sphere and a corresponding spherical harmonic transform (SHT) for the measurement and reconstruction of the diffusion signal in diffusion magnetic resonance imaging (dMRI). By exploiting the antipodal symmetry property of the diffusion signal in the spectral (spherical harmonic) domain, we design a sampling scheme that attains the optimal number of samples, equal to the degrees of freedom required to represent the antipodally symmetric band-limited diffusion...[Show more]

CollectionsANU Research Publications
Date published: 5/11/2015
Type: Journal article
Source: IEEE Signal Processing Letters
DOI: 10.1109/LSP.2015.2498162
Access Rights: Open Access


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