A method and device for computer tomography in which the same filtering operation can be performed for the image reconstruction, regardless of the method used to measure the measured data. Before and after the filtering the data there is performed a multiplication by a pre-conditioning factor and a post-conditioning factor, respectively. The pre-conditioning and post-conditioning factors are dependent on the type of reconstruction and on the position of a data in the group of measured data. The fact that the same filter can be used is important notably for computer tomography apparatus in which a convolution filter is embodied in circuit hardware. The back-projection device is suitable for the back-projection of measured data along diverging measuring paths as well as measured data along parallel measuring paths with only modification of some constants.