A computerized tomographic image exposure and reconstruction method wherein an object is subjected to irradiation during a relative movement of a source of radiation, saidthe object, and a radiation detector and wherein a digital representation of the radiation image of saidthe object is computed by applying a tomographic reconstruction algorithm to image data read out of the irradiated radiation detector. A number of projection images are generated, each of saidthe projection images being generated by integrating X-ray beams continuously emitted during saidthe relative movement through a predefined movement path, and the created projection images are modeled in a tomographic reconstruction algorithm.