A method for reconstruction of a 3D volume from a set of projection images recorded by a tomography apparatus using penetrating radiation in the field of dental medical applications takes into account a given value of at least one parameter. Simulated projection images are generated which correspond to at least a subset of the recorded projection images by simulating a projection of the penetrating radiation through the reconstructed 3D volume taking into account said given value of the at least one parameter. A re-projection error is determined by comparing the simulated projection images (with the corresponding recorded projection images. The re-projection error is then minimized by changing the value of the at least one parameter and by iterating over the above steps.