The invention relates to a method for correcting x-ray scatter in projection radiography or in x-ray computer tomography, in which, for different observed objects, different scatter-correction convolution cores G are determined and in the examination of the respective objects object-specific scatter-correction convolution cores are applied to detector data which is created during the x-raying of these objects. The invention also relates to a projection radiography or x-ray computer tomography system which features programs in a processing system which executes the method described above when the system is operating.