A method is disclosed for compiling computer tomographic representations using a CT system with at least two angularly offset ray sources. A first ray cone with a relatively larger fan angle and a second ray cone with a relatively smaller fan angle scan an object circularly or spirally. The first ray cone generates a first dataset A and the second ray cone generates a dataset B. The dataset B of the smaller ray cone is supplemented with other data at the edge to give an expanded dataset B+ for reconstruction of the CT representation. The expanded dataset B+ of the second, smaller ray cone and the dataset A of the first, larger ray cone is subjected to a convolution operation to give datasets B+′ and A′. Finally, a back projection to reconstruct sectional images or volume data is respectively carried out from the convoluted datasets B+′ and A′. The dataset B is supplemented with data of the dataset A and supplementary data are removed from the dataset B+′ after the convolution but before the back projection.