A Frame Theoretic Approach to the Nonuniform Fast Fourier Transform

@article{Gelb2014AFT,
  title={A Frame Theoretic Approach to the Nonuniform Fast Fourier Transform},
  author={Anne Gelb and Guohui Song},
  journal={SIAM J. Numer. Anal.},
  year={2014},
  volume={52},
  pages={1222-1242}
}
Nonuniform Fourier data are routinely collected in applications such as magnetic resonance imaging, synthetic aperture radar, and synthetic imaging in radio astronomy. To acquire a fast reconstruction that does not require an online inverse process, the nonuniform fast Fourier transform (NFFT), also called convolutional gridding, is frequently employed. While various investigations have led to improvements in accuracy, efficiency, and robustness of the NFFT, not much attention has been paid to… 

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