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    Magn Reson Imaging. 2006 Oct;24(8):1009-14. Epub 2006 May 23.

    Effects of 3D sampling in (k, t)-space on temporal qualities of dynamic MRI.

    Park JB, Nishimura DG.

    Department of Electrical Engineering, Magnetic Resonance Systems Research Laboratory, Stanford University, Stanford, CA 94305, USA. piquant@mrsrl.stanford.edu

    3D (kx, ky, t)-space analysis is invoked to provide insights into dynamic magnetic resonance imaging (DMRI) with arbitrary k-space sampling trajectories. The effects of 3D sampling in (kx, ky, t) are analyzed theoretically and verified with computer simulation. The analyses show that a 3D sampling pattern that is more isotropic in (kx, ky, t)-space and denser around the (kx=0, ky=0, t)-line likely results in improved temporal qualities of DMRI. The isotropy of 3D sampling is quantified using Voronoi 3D cells and the isoperimetric theorem. This 3D sampling perspective provides a theoretical framework for understanding the temporal qualities of various DMRI methods.

    PMID: 16997070 [PubMed - indexed for MEDLINE]

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