The invention relates to a computed tomography apparatus which includes a scanning unit which is rotatable, relative to an examination zone (13), around an axis of rotation (14) which extends through the examination zone (13), and also includes a radiation source (S) for generating a primary fan beam (41) which traverses the examination zone (13), and a two-dimensional detector array (D) which includes a plurality of detector elements and a part of the measuring surface of which detects primary radiation from the primary fan beam (41) whereas an other part of its measuring surface detects scattered radiation produced in the examination zone (13). In order to avoid reconstruction artefacts as much as possible in a computed tomography apparatus of this kind, in accordance with the invention it is proposed to arrange a modulation unit (33) between the radiation source (S) and the examination zone (13) in order to realize a temporally and spatially periodic modulation of the primary fan beam (41).