Method for the reduction of artifacts in image data sets and computing facility

A computing facility for the reduction of artifacts based on an unequal representation of the same material classes in various locations in a three-dimensional image data set, reconstructed from two-dimensional x-ray projection images, wherein an image datum, describing an attenuation value is allocated respectively to a voxel, the computing facility comprising:

• a location unit for the location of at least two material class regions containing image data, homogeneously distributed and which lies in an expected material class interval of the attenuation values;
• a homogenization function determination unit for the determination of a smooth homogenization function, which is applied to the image data of the entire image data set, considering at least one characteristic of the material class regions;
• and
• a correcting unit for the application of the homogenization function to the image data of the image data set.