Eigenimage filtering in MR imaging

Joe P. Windham, Mahmoud A. Abd-Allah, David A. Reimann, Jerry W. Froelich, Allan M. Haggar

Research output: Contribution to journalArticle

115 Scopus citations

Abstract

This article presents the technical aspects of a linear filter, referred to as eigenimage filtering, and its applications in magnetic resonance (MR) imaging. The technique is used to obtain a single composite image depicting a particular feature of interest while suppressing one or more interfering features. The appropriate weighting components to be used in the linear filter are determined on the criterion that the desired feature is enhanced while the interfering features are suppressed. The criterion is expressed mathematically as a ratio. By applying Rayleigh’s principle, the ratio is maximized by finding the eigenvector associated with the maximum eigenvalue of the corresponding generalized eigenvalue problem. The appropriate weighting factors for the linear filter are the elements of the eigenvector which maximize the ratio. The utilization of the technique is demonstrated in its application to a simulated MR image sequence as well as to acquired MR image sequences of a normal and an abnormal brain.

Original languageEnglish (US)
Pages (from-to)1-9
Number of pages9
JournalJournal of computer assisted tomography
Volume12
Issue number1
DOIs
StatePublished - Jan 1 1988

Keywords

  • Eigenimage filtering
  • Magnetic resonance imaging
  • Magnetic resonance imaging
  • Physics and instrumentation
  • Techniques

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