This disclosure relates to methods for non-destructively inspecting an object, wherein electromagnetic radiation is passed through the object and intensity values of unabsorbed beams are measured and evaluated. The method can include generating a three-dimensional data set in which a first material property of the object is associated with individual spatial elements of the object using computed tomography; determining an inspection space, in the three-dimensional data set; deriving values, based on the three-dimensional data set, corresponding to a spatial geometric quantity of the inspection space in a predetermined projection direction; generating a two-dimensional data set in which a second material property of the object is associated with individual surface elements of the object, using two-dimensional X-ray; determining an inspection region in the two-dimensional data set by computing a projection of the inspection space into the two-dimensional data set; and transferring the derived values into corresponding surface elements of the projection.