The invention relates to a method for reducing image noise in the context of capturing at least one radiation-based image of a region of interest using two different radiation spectra, in particular two different x-ray radiation spectra, comprising the following steps: capturing raw images of the region of interest using the two different radiation spectra with in each case mutually paired measured values; and to separate different materials in the region of interest, applying to the captured raw images at least one inversion operator with integrated noise filtering, said operator describing a transition from a measured value pair to an assigned reconstruction value pair.