A fiber orientation density function (fODF) gives the angular density of axonal fibers within a white matter voxel. Estimated fODFs obtained with diffusion MRI are prone to aliasing errors, depending on the number of diffusion directions used in the data acquisition. Here these errors are quantified for several typical fODFs represented with spherical harmonic expansions truncated at a specified degree. Choosing the number of directions equal to 2 to 3 times the number of adjustable parameters in the spherical harmonic expansion is found to be sufficient to reduce aliasing errors to a low level.
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