Velocity spectrum imaging using radial k-t SPIRiT

• Published in: Journal of cardiovascular magnetic resonance Vol. 14; no. S1; p. W59
• Main Authors: Santelli, Claudio, Kozerke, Sebastian, Schaeffter, Tobias
• Format: Journal Article
• Language: English
• Published: New York BioMed Central 01.02.2012; BioMed Central Ltd; Elsevier
• Subjects: Calibration; Studies; Workshop Presentation
• ISSN: 1532-429X; 1097-6647; 1532-429X
• DOI: 10.1186/1532-429X-14-S1-W59

D relates the reconstructed Cartesian k-t data, x, to the measured k-t points, y. b Every Cartesian k-t sample point is expressed as linear combination of neighboring points in dynamic k-t space across all coils. c The shift-invariant interpolation kernel weights (indicated by the arrows in the green neighborhood-mask) in G are obtained by fitting them to the fully sampled k-t calibration area in a Tikhonov-regularized least-squares sense. d Unconstrained Lagrangian, where I denotes identity and Î a regularization parameter. D relates the reconstructed Cartesian k-t data, x, to the measured k-t points, y. b Every Cartesian k-t sample point is expressed as linear combination of neighboring points in dynamic k-t space across all coils. c The shift-invariant interpolation kernel weights (indicated by the arrows in the green neighborhood-mask) in G are obtained by fitting them to the fully sampled k-t calibration area in a Tikhonov-regularized least-squares sense. d Unconstrained Lagrangian, where I denotes identity and Î a regularization parameter.