1. A computer tomography method having the following steps: a) generation, by a radiation source, of a conical beam of rays that passes through an examination region and an object situated therein, b) production of a relative movement between the radiation source on the one hand and the examination region on the other hand, which movement comprises at least a rotary movement about an axis of rotation and is in particular in the form of a helix or circle, c) acquisition, by a detector unit and during the relative movement, of measured values that depend on the intensity in the beam of rays on the farther side of the examination region, d) determination, with the help of redundant measured values, of a complementary measured value for each of at least some of the measured values that were acquired in step c) and that lie within a reconstruction window, the rays associated with the given measured value and the complementary measured value belonging to it being oriented in opposite directions to one another, e) replacement of each measured value for which a complementary measured value was determined in step d) by a sum comprising the measured value, having been weighted, and the complementary measured value, having been weighted, f) reconstruction of a CT image of the examination region from the measured values lying within the reconstruction window.