Rotation-invariant measures for population study in HARDI

We present a novel family of rotational-invariant measures for High Angular Resolution Diffusion Imaging1 (HARDI) data. This research is motivated by need for the developing new biomarkers and thereby facilitating population-based studies in HARDI. From a spherical harmonics (SH) representation of the angular information in diffusion MRI, we derive 12 rotational-invariant measures computed as homogeneous polynomials of the SH coefficients. These measures are expected to be sensitive to subtle changes in white matter structure, not captured by FA or GFA. The large number of measures will be used to create population classifiers, paving the way for pathology-specific biomarkers.

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