1. A method for generating magnetic resonance exposures comprising the steps of: from a subject containing a structure to be depicted in a magnetic resonance image, said structure having a geometry associated therewith, acquiring a plurality of under-sampled magnetic resonance raw data sets with a non-constant density in k-space; compensating the respective magnetic resonance raw data sets with respect to said non-constant density, dependent on the geometry of the structure to be depicted, thereby obtaining a plurality of density-compensated, under-sampled magnetic resonance raw data sets; translating the density-compensated, under-sampled magnetic resonance raw data sets into a Cartesian coordinate system, thereby obtaining translated magnetic resonance raw data sets; Fourier transforming the translated magnetic resonance raw data sets to obtain under-sampled magnetic resonance images in three-dimensional space; generating an averaged magnetic resonance image as an average of a plurality of the under-sampled magnetic resonance raw data sets; and generating a magnetic resonance exposure of the subject, depicting said structure, by multiplying the under-sampled magnetic resonance images with the averaged magnetic resonance image.