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An improved gridding method for spiral MRI using nonuniform fast Fourier transform.

Publication ,  Journal Article
Sha, L; Guo, H; Song, AW
Published in: J Magn Reson
June 2003

The algorithm of Liu and Nguyen [IEEE Microw. Guided Wave Lett. 8 (1) (1998) 18; SIAM J. Sci. Comput. 21 (1) (1999) 283] for nonuniform fast Fourier transform (NUFFT) has been extended to two dimensions to reconstruct images using spiral MRI. The new gridding method, called LS_NUFFT, minimizes the reconstruction approximation error in the Least Square sense by generated convolution kernels that fit for the spiral k-space trajectories. For analytical comparison, the LS_NUFFT has been fitted into a consistent framework with the conventional gridding methods using Kaiser-Bessel gridding and a recently proposed generalized FFT (GFFT) approach. Experimental comparison was made by assessing the performance of the LS_NUFFT with that of the standard direct summation method and the Kaiser-Bessel gridding method, using both digital phantom data and in vivo experimental data. Because of the explicitly optimized convolution kernel in LS_NUFFT, reconstruction results showed that the LS_NUFFT yields smaller reconstruction approximation error than the Kaiser-Bessel gridding method, but with the same computation complexity.

Duke Scholars

Published In

J Magn Reson

DOI

ISSN

1090-7807

Publication Date

June 2003

Volume

162

Issue

2

Start / End Page

250 / 258

Location

United States

Related Subject Headings

  • Phantoms, Imaging
  • Magnetic Resonance Imaging
  • Image Processing, Computer-Assisted
  • Humans
  • Fourier Analysis
  • Biophysics
  • Algorithms
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
 

Citation

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Sha, L., Guo, H., & Song, A. W. (2003). An improved gridding method for spiral MRI using nonuniform fast Fourier transform. J Magn Reson, 162(2), 250–258. https://doi.org/10.1016/s1090-7807(03)00107-1
Sha, Liewei, Hua Guo, and Allen W. Song. “An improved gridding method for spiral MRI using nonuniform fast Fourier transform.J Magn Reson 162, no. 2 (June 2003): 250–58. https://doi.org/10.1016/s1090-7807(03)00107-1.
Sha L, Guo H, Song AW. An improved gridding method for spiral MRI using nonuniform fast Fourier transform. J Magn Reson. 2003 Jun;162(2):250–8.
Sha, Liewei, et al. “An improved gridding method for spiral MRI using nonuniform fast Fourier transform.J Magn Reson, vol. 162, no. 2, June 2003, pp. 250–58. Pubmed, doi:10.1016/s1090-7807(03)00107-1.
Sha L, Guo H, Song AW. An improved gridding method for spiral MRI using nonuniform fast Fourier transform. J Magn Reson. 2003 Jun;162(2):250–258.
Journal cover image

Published In

J Magn Reson

DOI

ISSN

1090-7807

Publication Date

June 2003

Volume

162

Issue

2

Start / End Page

250 / 258

Location

United States

Related Subject Headings

  • Phantoms, Imaging
  • Magnetic Resonance Imaging
  • Image Processing, Computer-Assisted
  • Humans
  • Fourier Analysis
  • Biophysics
  • Algorithms
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering