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 location-coding said magnetic resonance data exclusively with a phase coding; entering said 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; and 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.