Partial fourier and parallel MR image reconstruction with integrated gradient nonlinearity correction

Shengzhen Tao, Joshua D. Trzasko, Yunhong Shu, Paul T. Weavers, John Huston, Erin M. Gray, Matt A. Bernstein

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Purpose To describe how integrated gradient nonlinearity (GNL) correction can be used within noniterative partial Fourier (homodyne) and parallel (SENSE and GRAPPA) MR image reconstruction strategies, and demonstrate that performing GNL correction during, rather than after, these routines mitigates the image blurring and resolution loss caused by postreconstruction image domain based GNL correction. Methods Starting from partial Fourier and parallel magnetic resonance imaging signal models that explicitly account for GNL, noniterative image reconstruction strategies for each accelerated acquisition technique are derived under the same core mathematical assumptions as their standard counterparts. A series of phantom and in vivo experiments on retrospectively undersampled data were performed to investigate the spatial resolution benefit of integrated GNL correction over conventional postreconstruction correction. Results Phantom and in vivo results demonstrate that the integrated GNL correction reduces the image blurring introduced by the conventional GNL correction, while still correcting GNL-induced coarse-scale geometrical distortion. Images generated from undersampled data using the proposed integrated GNL strategies offer superior depiction of fine image detail, for example, phantom resolution inserts and anatomical tissue boundaries. Conclusion Noniterative partial Fourier and parallel imaging reconstruction methods with integrated GNL correction reduce the resolution loss that occurs during conventional postreconstruction GNL correction while preserving the computational efficiency of standard reconstruction techniques.

Original languageEnglish (US)
Pages (from-to)2534-2544
Number of pages11
JournalMagnetic Resonance in Medicine
Issue number6
StatePublished - Jun 1 2016


  • gradient nonlinearity
  • homodyne
  • nonuniform fast Fourier transform
  • parallel imaging
  • partial Fourier

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging


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