A method includes recording projection images showing a target area from different projection directions along a recording trajectory. A first part of the projection images collimated onto the target region and a second part of the projection images showing the examination object non-truncated in at least one direction are recorded, so that from the second part of the projection images, at least one item of truncation information that is used in the reconstruction of the X-ray image dataset for reducing truncation artifacts is derived. The first part of the X-ray images is recorded with a first recording arrangement, and the second part of the X-ray images is recorded with a second of the recording arrangements. In each case, the collimation remains constant during the recording process. The second part of the projection images includes fewer projection images than the first part.