Reliably Estimating the Diffusion Orientation Distribution Function from High Angular Resolution Diffusion Imaging Data

This paper describes an automated model selection method for analysing the relationship between the order of the spherical harmonic basis functions used to fit high angular resolution diffusion imaging (HARDI) data and the accuracy of the fitting results. The method performs statistical inference on the spherical harmonic expansion coefficients and uses a backward elimination procedure to remove those basis functions that contribute the least to explaining the data. The proposed method improves the accuracy of higher order spherical harmonic expansion while preserving its shape adaptation properties.

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