Two dimensional prolate spheroidal wave functions for MRI

Qing X. Yang, Martin Lindquist, Lawrence Shepp, Cun Hui Zhang, Jianli Wang, Michael B. Smith

Research output: Contribution to journalArticle

Abstract

The tradeoff between spatial and temporal resolution is often used to increase data acquisition speed for dynamic MR imaging. Reduction of the k-space sampling area, however, leads to stronger partial volume and truncation effects. A two dimensional prolate spheroidal wave function (2D-PSWF) method is developed to address these problems. Utilizing prior knowledge of a given region of interest (ROI) and the spatial resolution requirement as constraints, this method tailors the k-space sampling area with a matching 2D-PSWF filter so that optimal signal concentration and minimal truncation artifacts are achieved. The k-space sampling area is reduced because the shape and size of the sampling area match the resolution posed by the non-rectangular shape of a convex ROI. The 2D-PSWF method offers an efficient way for spatial and temporal tradeoff with minimal penalty due to truncation, and thus, it promises a wide range of applications in MRI research.

Original languageEnglish (US)
Pages (from-to)43-51
Number of pages9
JournalJournal of Magnetic Resonance
Volume158
Issue number1-2
DOIs
StatePublished - 2002
Externally publishedYes

Fingerprint

Phosmet
Wave functions
Magnetic resonance imaging
sampling
wave functions
Sampling
tradeoffs
spatial resolution
approximation
Artifacts
temporal resolution
penalties
data acquisition
artifacts
Data acquisition
Imaging techniques
Research
filters
requirements

ASJC Scopus subject areas

  • Molecular Biology
  • Physical and Theoretical Chemistry
  • Spectroscopy
  • Radiology Nuclear Medicine and imaging
  • Condensed Matter Physics

Cite this

Two dimensional prolate spheroidal wave functions for MRI. / Yang, Qing X.; Lindquist, Martin; Shepp, Lawrence; Zhang, Cun Hui; Wang, Jianli; Smith, Michael B.

In: Journal of Magnetic Resonance, Vol. 158, No. 1-2, 2002, p. 43-51.

Research output: Contribution to journalArticle

Yang, Qing X. ; Lindquist, Martin ; Shepp, Lawrence ; Zhang, Cun Hui ; Wang, Jianli ; Smith, Michael B. / Two dimensional prolate spheroidal wave functions for MRI. In: Journal of Magnetic Resonance. 2002 ; Vol. 158, No. 1-2. pp. 43-51.
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