Abstract #2049

A Theoretical Framework for Sampling and Reconstructing Ensemble Average Propagators in Diffusion MRI

Divya Varadarajan¹ and Justin P Haldar²

¹University of Southern California, 90089, CA, United States, ²University of Southern California, Los Angeles, CA, United States

Diffusion MRI can be modeled as sampling the Fourier transform of the Ensemble Average Propagator (EAP). This is potentially advantageous because of extensive theory that has been developed to characterize sampling requirements, accuracy, and stability for Fourier reconstruction. However, previous work has not taken advantage of this characterization. This work presents a novel theoretical framework that precisely describes the relationship between the estimated EAP and the true original EAP. The framework is applicable to arbitrary linear EAP estimation methods, and for example, provides new insights into the design of q-space sampling patterns and the selection of EAP estimation methods.

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