Block circulant quasi-band matrix property for the SENSE unfolding in k-space and justification for GRAPPA

Tian Liu; Bryan Kressler; Kang Wang; Yi Wang

doi:10.1109/IEMBS.2008.4649493

Block circulant quasi-band matrix property for the SENSE unfolding in k-space and justification for GRAPPA

Annu Int Conf IEEE Eng Med Biol Soc. 2008:2008:1659-62. doi: 10.1109/IEMBS.2008.4649493.

Authors

Tian Liu¹, Bryan Kressler, Kang Wang, Yi Wang

Affiliation

¹ Biomedical Engineering of Cornell University, USA. tl265@cornell.edu

PMID: 19162996
DOI: 10.1109/IEMBS.2008.4649493

Abstract

The k-space unfolding matrix for parallel imaging in MRI was examined and was found to have the structure of block circulant quasi-band, providing a rigorous mathematical justification for the interpolation kernel in the commonly used GRAPPA method. The optimal GRAPPA kernel size and dimension were closely related to sensitivity spectrum.

MeSH terms

Biomedical Engineering
Databases, Factual
Fourier Analysis
Heart / anatomy & histology
Humans
Image Processing, Computer-Assisted / statistics & numerical data*
Magnetic Resonance Imaging / statistics & numerical data*
Magnetic Resonance Imaging, Cine / statistics & numerical data
Models, Theoretical