A method of determining an artifact-reduced three-dimensional reconstructed image data set includes a plurality of projection images of a primary data set, which show a head of a patient together with at least one neurosurgical apparatus generating artifacts in a three-dimensional reconstruction. The projection images of the primary data set are captured using different projection directions by an X-ray device having a C-arm. With regard to a reduction of artifacts, a projection image based correction is based upon projection images of a mask data set which show the neurosurgical apparatus without the head of the patient or the head of the patient without the neurosurgical apparatus.
