A mathematical scattered radiation model with a number of parameters is specified. A test object is scanned with an X-ray system to generate a first raw dataset. The test object is scanned again to generate a second raw dataset, this time with an intermediary X-ray mask having at least one X-ray transparent region and at least one X-ray non-transparent region between the X-ray source and the test object. Parameter values are determined based on the first raw dataset and on the second raw dataset, and the scattered radiation model is calibrated with the parameter values. An examination object is scanned with the X-ray system to generate a third raw dataset and the third raw dataset is processed with the calibrated scattered radiation model to generate a corrected third raw dataset. A set of X-ray image data is generated from the examination object based on the corrected third raw dataset.