A method is disclosed for the reconstruction of image data of an object under examination from measured data, wherein the measured data has been acquired during a relative rotational movement between a radiation source of a computed tomography system and the object under examination. A delimited area between the radiation source and a detector represents a field of view, in respect of which measured data can be acquired. During the measured data acquisition, parts of the object under examination were located at least partly outside of the field of view. A reconstruction is carried out of first image data from the measured data. The first image data is modified via a threshold value comparison, and the modified data is processed with a morphological filter, and projection data is calculated. The measured data is modified using the projection data, and, second image data is reconstructed.