belongs to said axis the trajectory t here extends level with the brain of the patient 1 the camera is inclined by an angle equ1 relative to the rotation axis 5 and the angle u03be will be defined hereinafter it is assumed to be equal to u03c0 2 in the aforementioned patents the apparatus associated with this invention is preferably constructed in such a way as to make it possible to bring about a random modification of the angle u03be in order to displace the trajectory t and place it level with the region of the head 3 in which there is an interest because a greater clarity is obtained at said trajectory t the patient image points are defined by their coordinates in an object reference mark which is a cartesian system of origin o placed on the rotation axis 5 and defined by three directional vectors namely the vector i oriented to the left of the patient 1 the vector j oriented to the front and the vector k oriented to the bottom and colinear with the rotation axis 5 the aim of the invention is to improve the existing image reconstruction algorithms on the basis of shots taken by the camera 4 in order to make them usable in this general case the geometrical relations angles and distances between the two series of elements are assumed to be known by a prior measurement of the type given in the remainder of the patent no matter what their origin constructional defect of the camera 4 or its support mechanism or the result of a voluntary choice of the inclination of the focal axis of the detector array account will not be taken here of parasitic phenomena such as the auto attenuation of the radiation within.