Two dimensional prolate spheroidal wave functions for MRI

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

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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
Issue number1-2
StatePublished - 2002

All Science Journal Classification (ASJC) codes

  • Biophysics
  • Biochemistry
  • Nuclear and High Energy Physics
  • Condensed Matter Physics


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