1. A computer tomography method for the detection of an examination zone, which is exposed at least partly to a cyclical movement of an object, which method comprises the following steps: generating a beam traversing the examination zone with a radiation source rotating several times around the examination zone; acquiring a set of measured values, which depend on the intensity of the beam beyond the examination zone, with a detector unit during the rotation of the radiation source with simultaneous recording of a signal representing the cyclical movement of the object; reconstructing a rough image from the measured values; selecting a region within the area represented by the rough image; optimizing reconstruction windows in predefinable position within the movement cycles in such a manner that the reconstruction windows are, on the one hand, smallest possible and, on the other hand, so large that each voxel of the region within the reconstruction windows is struck by the beam from an angle range sufficient for the reconstruction; and reconstructing an image of the region from the measured values acquired within the reconstruction windows.