title: Effects of 3D sampling in (k, t)-space on temporal qualities of dynamic MRI.
abstract: 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.
authors.affiliation: Department of Electrical Engineering, Magnetic Resonance Systems Research Laboratory, Stanford University, Stanford, CA 94305, USA. piquant@mrsrl.stanford.edu
authors.forename: Jong B
authors.initials: JB
authors.lastname: Park
authors.forename: Dwight G
authors.initials: DG
authors.lastname: Nishimura
mesh_terms: D016880:Anisotropy; D016477:Artifacts; D003198:Computer Simulation; D021621:Imaging, Three-Dimensional; D008279:Magnetic Resonance Imaging / Q000379:methods*; D008962:Models, Theoretical; D009038:Motion; D019047:Phantoms, Imaging; D013997:Time Factors