System and method for determining k-space views and diffusion weighting directions using centroidal voronoi tessellations

摘要

Described here are a system and method for generating uniform antipodally symmetric point sets that define diffusion-weighting directions or three-dimensional radial k-space trajectories for magnetic resonance imaging. The point sets are generated robustly and efficiently using a constrained centroidal Voronoi tessellation endowed with a pseudometric. This pseudometric is derived from a measure of the electrostatic energy of points distributed on a hemispherical surface.