Title :
Block circulant quasi-band matrix property for the SENSE unfolding in k-space and justification for GRAPPA
Author :
Liu, Tian ; Kressler, Bryan ; Wang, Kang ; Wang, Yi
Author_Institution :
Biomedical Engineering of Cornell University and Radiology of Weill Cornell medical collegeF., USA
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.
Keywords :
Biomedical engineering; Biomedical imaging; Coils; Image reconstruction; Interpolation; Kernel; Linear systems; Magnetic resonance imaging; Matrix decomposition; Radiology; Biomedical Engineering; Databases, Factual; Fourier Analysis; Heart; Humans; Image Processing, Computer-Assisted; Magnetic Resonance Imaging; Magnetic Resonance Imaging, Cine; Models, Theoretical;
Conference_Titel :
Engineering in Medicine and Biology Society, 2008. EMBS 2008. 30th Annual International Conference of the IEEE
Conference_Location :
Vancouver, BC
Print_ISBN :
978-1-4244-1814-5
Electronic_ISBN :
1557-170X
DOI :
10.1109/IEMBS.2008.4649493
