1. A method for compensating contrast inhomogeneities in magnetic resonance images, comprising the steps of: acquiring a plurality of different sets of magnetic resonance data from a region of an examination subject by irradiating said region with a plurality of different radio frequency pulse sequences, each of said different radio frequency pulse sequences producing a radio frequency field having a spatial distribution in said region and thereby producing a distribution of flip angles of nuclear spins in said region; generating a plurality of magnetic resonance images respectively from said plurality of sets of magnetic resonance data, each of said magnetic resonance images having an intensity variation caused by said distribution of flip angles; and generating a common contrast-homogenized image of said region from said plurality of magnetic resonance images having, at least in an area of said common contrast-homogenized image, an intensity variation due to said distribution of flip angles that is less than the intensity variation due to the distribution of flip angles in any of said plurality of magnetic resonance images.