Abstract #2472
Polyhedral Phantom Framework with Analytical Fourier Transform with Intensity Gradients
Shuo Han 1 and Daniel A. Herzka 1
1
Department of Biomedical Engineering, Johns
Hopkins School of Medicine, Baltimore, Maryland, United
States
Analytical phantoms with closed form solutions for their
Fourier Transforms (FT) enable accurate and arbitrary
sampling of k-space. Though most phantoms are limited to
simple shapes such as rectangles or ellipsoids, we have
recently presented an expression for the 3D FT of a
polyhedron of uniform intensity. This work provides the
mathematical framework that extends the original
polyhedral FT to account for linear gradients in
intensity. A computationally efficient implementation is
demonstrated.
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