A GPU-based Fast non-Uniform Fast Fourier Transform (NUFFT) was implemented, which uses optimized libraries and algorithms such as stencils and managed memory to perform highly efficient transformations from the image to the k-space domain and vice-versa. In testing, the transform execution time was measured to be approximately 1ms for 32 channel data and a 256x256 grid size. A conjugate gradient based solution to the inverse NUFFT was also implemented, in which a solution was given within approximately 10ms. The proposed implementation has valuable applications for non-Cartesian real-time imaging.
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