Conjugate phase MRI reconstruction with spatially variant sample density correction

Douglas C. Noll, Jeffrey A. Fessler, Bradley P. Sutton

Research output: Contribution to journalArticlepeer-review


A new image reconstruction method to correct for the effects of magnetic field inhomogeneity in non-Cartesian sampled magnetic resonance imaging (MRI) is proposed. The conjugate phase reconstruction method, which corrects for phase accumulation due to applied gradients and magnetic field inhomogeneity, has been commonly used for this case. This can lead to incomplete correction, in part, due to the presence of gradients in the field inhomogeneity function. Based on local distortions to the k-space trajectory from these gradients, a spatially variant sample density compensation function is introduced as part of the conjugate phase reconstruction. This method was applied to both simulated and experimental spiral imaging data and shown to produce more accurate image reconstructions. Two approaches for fast implementation that allow the use of fast Fourier transforms are also described. The proposed method is shown to produce fast and accurate image reconstructions for spiral sampled MRI.

Original languageEnglish (US)
Pages (from-to)325-336
Number of pages12
JournalIEEE transactions on medical imaging
Issue number2
StatePublished - Mar 2005


  • Image reconstruction
  • Magnetic field inhomogeneity
  • Magnetic resonance imaging
  • Spiral imaging

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology
  • Electrical and Electronic Engineering
  • Computer Science Applications
  • Computational Theory and Mathematics


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