1. A method for magnetic resonance imaging comprising the steps of: in a partial parallel acquisition technique, acquiring magnetic resonance signals from a subject with a plurality of antennas respectively disposed at different locations relative to an imaging volume of the subject, and spatially coding said magnetic resonance signals with at least one magnetic gradient field, each of said antennas having a k-space associated therewith; in each k-space, entering the magnetic resonance signals received by the antenna associated therewith in a trajectory proceeding around an origin of that k-space to produce an incomplete, non-Cartesian occupation of that k-space with said magnetic resonance signals; for each k-space, completing occupation thereof by electronically determining, in a computer, values absent from said trajectory that lie on a straight-line segment extending from said origin, by weighting, with a weighting factor, sample values existing on the trajectory that also lie on said straight line, to obtain a completely occupied k-space; Fourier transforming each completely occupied k-space to produce a partial image, thereby obtaining a plurality of partial images; and reconstructing an image of said imaging area from said plurality of partial images.