The invention relates to an X-ray imaging apparatus and a method, particularly to a CT scanner (100) for generating sectional images of an object such as the body (P) of a patient. A given desired angular intensity distribution (Ides) is reproduced by emitting X-rays (X) in emission angle intervals (EAI) only, wherein the angular distribution of these emission angle intervals and the associated local emission intensities (I(&alpha)) are chosen such that they reproduce, in the angular mean, the desired angular intensity distribution (Ides). Modulation of incident X-ray flux is hence realized by the modulation of the angular sampling density. The X-ray source may preferably be realized by a grid switching tube (101).