1. A method for generating an image of a body region of a living subject, said body region exhibiting movement due to respiration of the subject, said method comprising the steps of: acquiring an electrical respiration signal from the subject that tracks said respiration of the subject, said respiration signal having an amplitude; emitting x-ray radiation into said body region, and detecting said x-ray radiation after passage through said body region, from a plurality of different projection directions, to acquire a plurality of x-ray projections of said body region, and modulating an intensity of said x-ray radiation from said x-ray source during acquisition of said x-ray projections to selectively set said intensity at a predetermined value or at a value that is decreased relative to said predetermined value, dependent on the amplitude of said respiration signal; and reconstructing an image of said body region of the subject using at least some of said x-ray projections.