Method for the noise reduction of CT image data and an image processing system are disclosed, with a scanning of an examination object and generation of at least two CT image data records each taking place on the basis of a different x-ray energy spectrum. In at least one embodiment, a break-down of the data image records into at least two broken-down image data records takes place in each instance, with a lowest local frequency band (f(1)) with the index k=1 and at least one high local frequency band (f(k)) with the index k=2 to N. In at least one embodiment, the determination of the noise into at least one of the image data records per x-ray energy spectrum and calculation of at least one new image data record takes place in each instance by using an unchanged broken-down image data record with the lowest local frequency band and an image data record, generated from a noise-minimized weighted combination of broken-down image data records, which originate from the scannings using different x-ray energy spectra.