title: Block circulant quasi-band matrix property for the SENSE unfolding in k-space and justification for GRAPPA.
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.
authors.affiliation: Biomedical Engineering of Cornell University, USA. tl265@cornell.edu
authors.forename: Tian
authors.initials: T
authors.lastname: Liu
authors.forename: Bryan
authors.initials: B
authors.lastname: Kressler
authors.forename: Kang
authors.initials: K
authors.lastname: Wang
authors.forename: Yi
authors.initials: Y
authors.lastname: Wang
mesh_terms: D001698:Biomedical Engineering; D016208:Databases, Factual; D005583:Fourier Analysis; D006321:Heart / Q000033:anatomy & histology; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000706:statistics & numerical data*; D008279:Magnetic Resonance Imaging / Q000706:statistics & numerical data*; D019028:Magnetic Resonance Imaging, Cine / Q000706:statistics & numerical data; D008962:Models, Theoretical