In this paper a new explicit model of a radioscopic imaging system is presented. The model includes three parts: X-ray projection, image intensifier and CCD camera. The X-ray projection is modelled as a linear central projection. The image intensifier is modelled using a new explicit model that considers the curved input screen and the non-linear projection caused by electromagnetic fields. The CCD camera is modelled according to a general 2D projective transformation of the output screen of the image intensifier. Thus, the back-projection, required for 3D reconstruction, can be expressed in a closed-form. The model is compared to seven other known models. The presented model achieves high accuracy.