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, firstname.lastname@example.org, 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.