A computer tomography measuring device includes a radiation source for generating invasive radiation, in particular X-rays, and a rotating device which is embodied and arranged in such a way that it enables a measurement object to be rotatable about an axis of rotation of the rotating device, thereby enabling the invasive radiation to penetrate into the measurement object at different angles. A detecting device detects the radiation penetrating through the measurement object. A positioning device provided with an adjusting element is used for adjusting the position of the measurement object with respect to the rotating device.