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Abstract #3528

Model-free Fourier Reconstruction of the Diffusion Propagator from Multi-b-shell Diffusion Data

Qiyuan Tian1,2, Grant Yang1,2, Christoph W.U. Leuze2, Ariel Rokem3, Brian L. Edlow4,5, and Jennifer A. McNab2

1Department of Electrical Engineering, Stanford University, Stanford, CA, United States, 2Department of Radiology, Stanford University, Stanford, CA, United States, 3eScience Institute, The University of Washington, Seattle, WA, United States, 4Department of Radiology, Massachusetts General Hospital, Boston, MA, United States, 5Department of Neurology, Massachusetts General Hospital, Boston, MA, United States

We propose a practical, model-free, Fourier reconstruction framework for obtaining the diffusion propagator and the diffusion orientation distribution function (ODF) from multi-b-shell diffusion data. Signals on each b-shell are scaled to account for non-uniform sampling density in q-space. Diffusion propagators and ODFs are obtained using a Discrete Fourier Transform and an analytic ODF solution. The method is demonstrated on data from the Human Connectome Project and shown to be both effective and broadly applicable to multi-b-shell data.

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