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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