Sampling density compensation in MRI: Rationale and an iterative numerical solution

James Pipe, Padmanabhan Menon

Research output: Contribution to journalArticle

210 Citations (Scopus)

Abstract

Data collection of MRI which is sampled nonuniformly in k-space is often interpolated onto a Cartesian grid for fast reconstruction. The collected data must be properly weighted before interpolation, for accurate reconstruction. We propose a criterion for choosing the weighting function necessary to compensate for nonuniform sampling density. A numerical iterative method to find a weighting function that meets that criterion is also given. This method uses only the coordinates of the sampled data; unlike previous methods, it does not require knowledge of the trajectories and can easily handle trajectories that 'cross' in k-space. Moreover, the method can handle sampling patterns that are undersampled in some regions of k-space and does not require a post-gridding density correction. Weighting functions for various data collection strategies are shown. Synthesized and collected in vivo data also illustrate aspects of this method.

Original languageEnglish (US)
Pages (from-to)179-186
Number of pages8
JournalMagnetic Resonance in Medicine
Volume41
Issue number1
DOIs
StatePublished - Feb 13 1999
Externally publishedYes

Keywords

  • Gridding
  • Nyquist
  • Sampling density
  • Spiral MRI

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology

Cite this

Sampling density compensation in MRI : Rationale and an iterative numerical solution. / Pipe, James; Menon, Padmanabhan.

In: Magnetic Resonance in Medicine, Vol. 41, No. 1, 13.02.1999, p. 179-186.

Research output: Contribution to journalArticle

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