1. The invention consists of a process for transmitting the positional coordinates of a viewing device during the acquisition of a sequence of video images while the viewing device is moving through space along a trajectory determined with respect to a defined reference point, characterized according to at least the following steps: A prelimary step consisting of attaching the said viewing device ( 10 , 10 ′) to a first subsystem ( 11 , 11 ′) which contains an inertial sensing unit delivering data signals representing the spatial coordinates and the instantaneous inclination of the said viewing device with respect to the said reference point; A first step involving the acquisition, in real time, of the said data signals during the movement of the said viewing device ( 10 , 10 ′) along the said trajectory (t) and their transmission to a second subsystem ( 12 , 2 ) which includes equipment for processing these data (4) using a stored software program; and A second step consisting of processing the said data, either in real time or deferred for later analysis, so as to determine the said coordinates of position.