a method and a device produce x - ray images of objects , according to which artifacts caused by scattered radiation are corrected . to this end , a modulator field is used , that can be moved from a first position to a second position , thereby enabling modulator field areas with small and relatively large x - ray attenuation coefficients to be interchanged . an initial amplitude - modulated projection of the object is respectively produced in each of the two positions , and a scattered image associated with the projection is respectively calculated . this is especially suitable for rapid ct scans .