1. A method for reconstruction of image data of an examination object from measured data, the measured data being captured during a relative rotational motion between a radiation source of a computed tomography system and the examination object, image data of the examination object being determined from the measured data and new image data being obtained by noise-reducing processing of the image data, the method comprising: performing a weighted high-pass filtering of the image data, wherein the weighting takes account of differences between pixel values of different pixels such that increasing differences result in a weaker high-pass effect; and performing a noise-reducing smoothing of the image data using the weighted high-pass filtering.