Abstract #1587

Challenges in Reconstructing the Propagator Via a Cumulant Expansion of the One-Dimensional Q-Space MR Signal

Aurobrata Ghosh¹, Evren zarslan², Rachid Deriche³

¹Project Team Odysse, INRIA Sophia Antipolis - Mditeranne, Sophia Antipolis , Alpes Maritimes, France; ²Section on Tissue Biophysics and Biomimetics, NICHD, National Institutes of Health, Bethesda, MD, United States; ³INRIA Sophia Antipolis - Mditeranne, rachid.deriche@sophia.inria.fr, Sophia Antipolis, Alpes Maritimes, France

We validate the GDTI with Gram-Charlier series approximation of the propagator approach in 1D, by comparing the Gram-Charlier and the Edgeworth series on closed form diffusion propagators with known cumulants. We also compare against estimated cumulants. We conclude that the Edgeworth series outperforms the Gram-Charlier series when the cumulants are known, but estimating the cumulants from the signal is numerically an important and sensitive problem.