An x-ray computed tomography apparatus has a stationary device (3) for generating x-ray radiation from an x-ray focus that moves around the examination volume on a target that at least partially surrounds an examination volume of the apparatus in one plane. From the x-ray focus an x-ray beam is directed through the examination volume onto respective, momentarily opposite detector elements of a stationary x-ray detector that at least partially surrounds the examination volume. One or more shaping elements for influencing one or more beam parameters of the x-ray beam are arranged between the target and the detector elements. One or more of the shaping elements is/are arranged on a carrier frame that can rotate around a system axis in synchronization with the movement of the x-ray focus. The shaping elements rotating with the x-ray focus enable an optimal beam shaping and/or suppression of scatter radiation.