A method and a computed tomography system are disclosed for generating tomographic image datasets of a measurement object. The computed tomography system includes at least two simultaneously operable sets of detector elements which jointly scan a measurement object from a multiplicity of projection angles in an integrating manner on the one hand and an energy-resolving manner on the other hand. In at least one embodiment, the method includes determining a first projection dataset from measurement data recorded in an integrating manner. Further, at least one second projection dataset is determined from energy-resolved measurement data, and in addition a weighted tomographic result image dataset is calculated based on weighted use of the first and the second projection dataset, the weighting being applied to the projection data or the tomographic image data reconstructed therefrom.