Computer-implemented method for reducing artifacts of at least one artifact type, in particular cone beam artifacts, when determining computed tomography image data sets from a projection image set in multi-energy computed tomography, wherein the projection image set is provided comprising at least two subsets assigned to different energy spectra and in order to determine and correct the computed tomography image data sets for each energy spectrum: - a computed tomography image data set to be corrected is reconstructed from the respective subset, and - within the scope of a correction algorithm, in particular iteratively: - for determining an intermediate data set, an image processing operator highlighting and/or reconstructing and/or selecting artifact-producing structures is applied to the computed tomography image data set, - based on the intermediate data set, a first model data set is determined by forward projection and reconstruction and a second model data set is determined by applying a low pass filter or identity mapping to the intermediate data set, and - an artifact data set is determined by subtraction of the second model data set from the first model data set and subtracted from the computed tomography image data set, characterised in that in the correction algorithm, before each application of the image processing operator, a structural image data set to be used for all energy spectra and comprising image data from all energy spectra is additionally determined from the computed tomography image data sets to be corrected, and subsequently transferred to the image processing operator as a second argument for each energy spectrum, wherein image processing measures to be carried out by the image processing operator are determined on the basis of the structural image data set and the image processing measures are applied to the computed tomography data set to be corrected and transferred as a first argument. - a computed tomography image data set to be corrected is reconstructed from the respective subset, and - within the scope of a correction algorithm, in particular iteratively: - for determining an intermediate data set, an image processing operator highlighting and/or reconstructing and/or selecting artifact-producing structures is applied to the computed tomography image data set, - based on the intermediate data set, a first model data set is determined by forward projection and reconstruction and a second model data set is determined by applying a low pass filter or identity mapping to the intermediate data set, and - an artifact data set is determined by subtraction of the second model data set from the first model data set and subtracted from the computed tomography image data set, - for determining an intermediate data set, an image processing operator highlighting and/or reconstructing and/or selecting artifact-producing structures is applied to the computed tomography image data set, - based on the intermediate data set, a first model data set is determined by forward projection and reconstruction and a second model data set is determined by applying a low pass filter or identity mapping to the intermediate data set, and - an artifact data set is determined by subtraction of the second model data set from the first model data set and subtracted from the computed tomography image data set, <EOS>