A filter arrangement is described. The filter arrangement includes an inner filter region, covering a cross-sectional area of a fan beam of a first X-ray source, and an outer filter region covering, together with the inner filter region, a larger cross-sectional area of a larger fan beam of a second X-ray source. The inner filter region has a first spectral filter function. The outer filter region is divided into a first subregion having a second spectral filter function and a second subregion having a third different spectral filter function. A computed tomography system is described. A method for producing a filter arrangement for a spectral filtering of X-ray radiation of a CT system having a first X-ray source and a second X-ray source is also presented. A method for reconstructing image data on the basis of projection measurement data is also described.