title: An algorithm for numerical calculation of the k-space data-weighting for polarly sampled trajectories: application to spiral imaging.
abstract: Image reconstruction of data sampled into a non-uniform k-space grid requires appropriate data weighting and, for spiral-scan raw data, this weighting is usually calculated analytically under the assumption of uniform radial k-space sampling. This paper presents a simple and efficient algorithm for explicit numerical calculation of the data weighting for generalised polarly sampled k-space trajectories. The algorithm has been tested against both simulated data and data from experimental spiral-scan imaging and clearly provides significant improvements in image reconstruction when the radial uniformity of the k-space trajectory is poor.
authors.affiliation: Herchel Smith Laboratory for Medicinal Chemistry, University of Cambridge School of Clinical Medicine, University Forvie Site, Cambridge, England, UK.
authors.forename: N G
authors.initials: NG
authors.lastname: Papadakis
authors.forename: T A
authors.initials: TA
authors.lastname: Carpenter
authors.forename: L D
authors.initials: LD
authors.lastname: Hall
mesh_terms: D000465:Algorithms; D003198:Computer Simulation; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D008279:Magnetic Resonance Imaging / Q000379:methods*; D008962:Models, Theoretical; D012815:Signal Processing, Computer-Assisted