Patent ID: 8559691

Claim:
An apparatus for radiography with X-rays, comprising: an imaging system comprising an X-ray source and an X-ray detector for generating radiographic raw images of an object; a sensor arrangement adapted for determining displacement data of the object; a control unit adapted for controlling the motion of the imaging system and for generating a view of the object based on the radiographic raw images by an imaging processing, in which an operator is used, which relates a plurality of radiographic raw images with the view of the object without transforming the radiographic images individually, in which the displacement of the object during an acquisition process is taken into account by modifying the operator in dependency of the displacement data, and in which the displacement data are determined individually with respect to differently moving parts of the object while maintaining a cohesion of the different parts of the object; wherein a reconstruction process resulting in tomographic images is used for the imaging processing; and wherein the reconstruction process is based on an algebraic method for solving a system of equations, the system of equations connecting absorption coefficients associated with volume elements of the object with projection values of the radiographic raw images taken at various positions along a trajectory by calculating a weighted sum of absorption elements along radiation paths associated with the projection values, the weighting coefficient depending on the length of a segment of a given radiation path lying within a given volume element, and the trajectory being defined by the motion of the of the imaging system, and wherein the weighting coefficients are modified in dependency of the displacement data.