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Related Experiment Videos

On NUFFT-based gridding for non-Cartesian MRI.

Jeffrey A Fessler1

  • 1EECS Department, The University of Michigan, Ann Arbor, MI 48109-2122, USA. fessler@umich.edu

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|August 11, 2007
PubMed
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The Kaiser-Bessel (KB) gridding method for MRI reconstruction is superior to the least-squares nonuniform fast Fourier transform (LS-NUFFT) method. Optimized KB parameters offer practical advantages over LS-NUFFT for non-Cartesian MRI.

Area of Science:

  • Medical Imaging
  • Signal Processing
  • Magnetic Resonance Imaging (MRI)

Background:

  • Non-Cartesian MRI reconstruction typically uses gridding with Kaiser-Bessel (KB) kernels.
  • A recent study proposed a least-squares nonuniform FFT (LS-NUFFT) method, claiming reduced reconstruction errors.

Purpose of the Study:

  • To analyze the LS-NUFFT method for non-Cartesian MRI reconstruction.
  • To compare the performance of LS-NUFFT against the conventional KB gridding approach.

Main Methods:

  • Detailed analysis of the LS-NUFFT interpolator's properties.
  • Comparison of reconstruction approximation errors between LS-NUFFT and KB methods.
  • Investigation of LS-NUFFT optimization through scaling factors.

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Main Results:

  • The core of the LS-NUFFT interpolator is shift-invariant when accounting for a linear phase factor.
  • The conventional KB approach demonstrated smaller reconstruction errors than the original LS-NUFFT.
  • Optimizing LS-NUFFT offered minor error reduction at a high computational cost.

Conclusions:

  • The standard KB gridding method remains the preferred practical choice for MRI reconstruction.
  • Appropriate parameter selection for KB gridding ensures optimal performance.
  • LS-NUFFT's computational demands do not justify its modest error reduction compared to KB.