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Abstract #3197

PolyFT: a Freely-Available Optimized MATLAB Implementation of the Polyhedral Fourier Transform for Analytical Simulations in MRI

Shuo Han1 and Daniel A. Herzka1

1Department of Biomedical Engineering, Johns Hopkins University School of Medicine, Baltimore, MD, United States

Analytical Fourier transforms (FT), such as FT of 2D and 3D Shepp-Logan phantoms, enable accurate arbitrary k-space sampling of digital phantoms. Here, we present and demonstrate a computationally efficient MATLAB implementation of the analytical FT of polyhedral phantoms with uniform intensity or non-uniform intensities. The computation time of the implementation is presented, as well as demonstrations showing its feasibility of simulating physiologically relevant phantoms and evaluating non-Cartesian sampling trajectories and parallel imaging algorithms. The implementation is now available through the Mathworks user community and GitHub.

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