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This paper reports the development of a Python Non-Uniform Fast FourierTransform (PyNUFFT) package, which accelerates non-Cartesian imagereconstruction on heterogeneous platforms. Scientific computing with Pythonencompasses a mature and integrated environment. The NUFFT algorithm has beenextensively used for non-Cartesian image reconstruction but previously therewas no native Python NUFFT library. The current PyNUFFT software enablesmulti-dimensional NUFFT on heterogeneous platforms. The PyNUFFT also providesseveral solvers, including the conjugate gradient method, $\ell$1total-variation regularized ordinary least square (L1TV-OLS) and $\ell$1total-variation regularized least absolute deviation (L1TV-LAD).Metaprogramming libraries were employed to accelerate PyNUFFT. The PyNUFFTpackage has been tested on multi-core CPU and GPU, with acceleration factors of6.3 - 9.5$\times$ on a 32 thread CPU platform and 5.4 - 13$\times$ on the GPU.

Python Non-Uniform Fast Fourier Transform (PyNUFFT): multi-dimensional  non-Cartesian image reconstruction package for heterogeneous platforms and  applications to MRI