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Abstract #4521

Restoring Rotation Invariance of Diffusion MRI Estimators in the Presence of Missing or Corrupted Measurements

Hans Knutsson1, Evren Özarslan1, Filip Szczepankiewicz2, and Carl-Fredrik Westin1,2

1Linkoping University, Linkoping, Sweden, 2Brigham and Women's Hospital, Harvard Medical School, Boston, MA, United States

A natural requirement of estimated tissue microstructure features is that they are rotation invariant. So far, the strategy to attain rotation invariance has been to measure in as many uniformly distributed directions as can be afforded and simply compute the projections on an appropriate set of angular basis functions. However, in the presence of missing samples, this approach is sub-optimal. We show that attaching carefully chosen weights to each measurement can achieve a significantly improved rotation invariance, even in the presence of corruptions that break the isotropic sampling symmetry.

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