Automatic phasing of MR images. Part II: Voxel-wise phase estimation

G. Larry Bretthorst

Research output: Contribution to journalArticlepeer-review

12 Scopus citations


Magnetic resonance images are typically displayed as the absolute value of the discrete Fourier transform of the k-space data. However, absorption-mode images, the real part of the discrete Fourier transform of the data after applying an appropriate phase correction, have significant advantages over absolute-value images. In a companion paper, the problem of estimating the phase parameters needed to produce an absorption-mode image when the phase of the complex image varies linearly as a function of position, a situation common in magnetic resonance images, was addressed. However, some magnetic resonance images have phases that can vary in a complicated, nonlinear, positionally dependent fashion. To produce an absorption-mode image from these data, one must first estimate the positionally dependent phase, and then use that phase estimate to produce an absorption-mode image. This paper addresses both of these problems by first using Bayesian probability theory to estimate the constant or zero-order phase as a function of image position, and then the calculations are illustrated by using them to generate absorption-mode images from data where the phase of the image is a nonlinear function of position.

Original languageEnglish
Pages (from-to)193-201
Number of pages9
JournalJournal of Magnetic Resonance
Issue number2
StatePublished - Apr 2008


  • Absorption-mode images
  • Bayesian probability theory
  • Zero-order phase estimation


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