A device for supporting, in motion, a mobile terminal having a display surface, including a supporting element forming a hand grip for the device and a plate mounted such that it can move in relation to the supporting element, the plate forming a housing receives mobile terminal in the use position, in which the display surface can be observed by a user. The device also has a plurality of reference light sources linked to the supporting element, which can emit light towards the users eye and which are disposed in the environment of the housing in a two-dimensional array, the array being coplanar with the display surface of the mobile terminal that is intended to be received in the housing.