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Nonlinear phase correction with an extended statistical algorithm.

Publication ,  Journal Article
Chang, Z; Xiang, Q-S
Published in: IEEE Trans Med Imaging
June 2005

This paper presents a new magnetic resonance imaging (MRI) phase correction method. The linear phase correction method using autocorrelation proposed by Ahn and Cho (AC method) is extended to handle nonlinear terms, which are often important for polynomial expansion of phase variation in MRI. The polynomial coefficients are statistically determined from a cascade series of n-pixel-shift rotational differential fields (RDFs). The n-pixel-shift RDF represents local vector rotations of a complex field relative to itself after being shifted by n pixels. We have found that increasing the shift enhances the signal significantly and extends the AC method to handle higher order nonlinear phase error terms. The n-pixel-shift RDF can also be applied to improve other methods such as the weighted least squares phase unwrapping method proposed by Liang. The feasibility of the method has been demonstrated with two-dimensional (2-D) in vivo inversion-recovery MRI data.

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Published In

IEEE Trans Med Imaging

DOI

ISSN

0278-0062

Publication Date

June 2005

Volume

24

Issue

6

Start / End Page

791 / 798

Location

United States

Related Subject Headings

  • Signal Processing, Computer-Assisted
  • Sensitivity and Specificity
  • Reproducibility of Results
  • Numerical Analysis, Computer-Assisted
  • Nuclear Medicine & Medical Imaging
  • Nonlinear Dynamics
  • Models, Statistical
  • Models, Biological
  • Magnetic Resonance Imaging
  • Image Interpretation, Computer-Assisted
 

Citation

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MLA
NLM
Chang, Z., & Xiang, Q.-S. (2005). Nonlinear phase correction with an extended statistical algorithm. IEEE Trans Med Imaging, 24(6), 791–798. https://doi.org/10.1109/TMI.2005.848375
Chang, Zheng, and Qing-San Xiang. “Nonlinear phase correction with an extended statistical algorithm.IEEE Trans Med Imaging 24, no. 6 (June 2005): 791–98. https://doi.org/10.1109/TMI.2005.848375.
Chang Z, Xiang Q-S. Nonlinear phase correction with an extended statistical algorithm. IEEE Trans Med Imaging. 2005 Jun;24(6):791–8.
Chang, Zheng, and Qing-San Xiang. “Nonlinear phase correction with an extended statistical algorithm.IEEE Trans Med Imaging, vol. 24, no. 6, June 2005, pp. 791–98. Pubmed, doi:10.1109/TMI.2005.848375.
Chang Z, Xiang Q-S. Nonlinear phase correction with an extended statistical algorithm. IEEE Trans Med Imaging. 2005 Jun;24(6):791–798.

Published In

IEEE Trans Med Imaging

DOI

ISSN

0278-0062

Publication Date

June 2005

Volume

24

Issue

6

Start / End Page

791 / 798

Location

United States

Related Subject Headings

  • Signal Processing, Computer-Assisted
  • Sensitivity and Specificity
  • Reproducibility of Results
  • Numerical Analysis, Computer-Assisted
  • Nuclear Medicine & Medical Imaging
  • Nonlinear Dynamics
  • Models, Statistical
  • Models, Biological
  • Magnetic Resonance Imaging
  • Image Interpretation, Computer-Assisted