1. A method for generating a magnetic resonance image, comprising the steps of: providing a k-space memory comprising a predetermined set of measurement points respectively occupiable by data entries; with a magnetic resonance data acquisition unit, acquiring magnetic resonance data from an examination volume of a subject only for a predetermined subset of said measurement points in said predetermined set, and only location-coding said acquired magnetic resonance data exclusively with a phase coding; entering said acquired magnetic resonance data into said k-space memory, thereby resulting in said k-space memory comprising occupied measurement points corresponding to said measurement points in said subset, and unoccupied measurement points corresponding to other points of the predetermined set of measurement points and not in said acquired subset; in a computer, reconstructing an image from said occupied measurement points in k-space using an image reconstruction technique that causes said image to also contain information about said measurement volume corresponding to said unoccupied measurement points; and making said reconstructed image available as a data file at an output of said computer.