Abstract #3528

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

Qiyuan Tian^1,2, Grant Yang^1,2, Christoph W.U. Leuze², Ariel Rokem³, Brian L. Edlow^4,5, 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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