1. An apparatus for assessing reconstructed x-ray images from a three-dimensional (3D) data field formed from a plurality of x-ray images recorded of an object from different predeterminable directions in different angle ranges along a trajectory, the apparatus comprising: an x-ray system configured to establish a confidence level for an image point of a reconstructed x-ray image, wherein the different angles are rounded to an angle degree and stored in a histogram bin for the corresponding angle degree with a value of 1, wherein an abscissa of the histogram is subdivided into value ranges between 0 and 180 degrees in 1 degree increments, wherein all histogram bins with entries greater than 1 are set to 1, wherein the confidence level emerges from a first number of the x-ray images of the object formed from a sum of the entries of all histogram bins divided by a second number of the x-ray images of the object required for complete reconstruction of the reconstructed x-ray image.