1. A method for generating an image by magnetic resonance, comprising the steps of: emitting radio-frequency excitation pulses into an imaging volume for exciting nuclear magnetic resonance signals in said imaging volume; generating at least one gradient field in said imaging volume for location-coding said nuclear magnetic resonance signals to produce location-coded magnetic resonance signals; receiving said location-coded magnetic resonance signals with a plurality of independent reception antennas, each having a sensitivity profile, with the respective sensitivity profiles of said reception antennas differing from each other, said reception antennas respectively generating reception signals; generating a plurality of k-space data sets respectively from the reception signals from the plurality of reception antennas, each k-space data set having middle k-space rows and outer k-space rows, with said middle k-space rows being more densely disposed in said k-space data set than said outer k-space rows; reconstructing a plurality of intermediate images respectively from said k-space data sets; identifying the respective sensitivity profile for each of said reception antennas from the middle k-space rows of the k-space data set respectively generated from the reception signal from that reception antenna; and combining said intermediate images dependent on said sensitivity profiles to form an overall image of at least a portion of said imaging volume.