Joint estimation and correction of geometric distortions for EPI functional MRI using harmonic retrieval

Hien M. Nguyen, Bradley P. Sutton, Robert L. Morrison, Minh N. Do

Research output: Contribution to journalArticlepeer-review


Magnetic resonance imaging (MRI) uses applied spatial variations in the magnetic field to encode spatial position. Therefore, nonuniformities in the main magnetic field can cause image distortions. In order to correct the image distortions, it is desirable to simultaneously acquire data with a field map in registration. We propose a joint estimation (JE) framework with a fast, noniterative approach using harmonic retrieval (HR) methods, combined with a multi-echo echo-planar imaging (EPI) acquisition. The connection with HR establishes an elegant framework to solve the JE problem through a sequence of 1-D HR problems in which efficient solutions are available. We also derive the condition on the smoothness of the field map in order for HR techniques to recover the image with high signal-to-noise ratio. Compared to other dynamic field mapping methods, this method is not constrained by the absolute level of the field inhomogeneity over the slice, but relies on a generous pixel-to-pixel smoothness. Moreover, this method can recover image, field map, and T2* map simultaneously.

Original languageEnglish (US)
Pages (from-to)423-434
Number of pages12
JournalIEEE transactions on medical imaging
Issue number3
StatePublished - Mar 2009


  • Echo-planar imaging (EPI)
  • Field inhomogeneity
  • Functional magnetic resonance imaging (MRI)
  • Geometric distortions
  • Harmonic retrieval
  • Image reconstruction

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Radiological and Ultrasound Technology
  • Software

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