Description

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

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 the fundamental analysis of the scheme, and in particular its convergence properties.

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Date Created
  • 2013-11-30
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  • Text
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    Identifier
    • Digital object identifier: 10.1137/13092160X
    • Identifier Type
      International standard serial number
      Identifier Value
      1095-7170
    • Identifier Type
      International standard serial number
      Identifier Value
      0036-1429
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    • Link to published article.

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    Gelb, Anne, & Song, Guohui (2014). A FRAME THEORETIC APPROACH TO THE NONUNIFORM FAST FOURIER TRANSFORM. SIAM JOURNAL ON NUMERICAL ANALYSIS, 52(3), 1222-1242. http://dx.doi.org/10.1137/13092160X

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