Device making it possible for the 3D reconstruction of the surface of a complete 360° rotation of an object or of a body comprising: - at least one 3D passive stereovision device equipped with a double optic , - a rotating table on which is placed the object or the body to be imaged or alternatively a frame rotating around the object or the body to be imaged on which is attached the at least one 3D passive stereovision device equipped with a double optic , such that the relative positions of the object or of the body and of the at least one 3D device are such that the object or the body is located in the field of view of the at least one 3D device , - a means for controlling the rotation of the rotating table or a means for controlling the rotating frame and a means for controlling the triggering of shots making it possible to collect a set of stereo pairs acquired by means of the at least one 3D device covering in the set thereof, a 360° angle around the object or the body , - calculation means making it possible to reconstruct, in 3D, pieces of surfaces from stereo pairs acquired, characterised by the fact: - that means for controlling the rotation of the rotating table or the means for controlling the rotating frame observes a pause in the rotation during each of the shots, and - that is comprises calculation means making it possible to sew the different 3D surface pieces acquired by connecting, by means of geometric criteria in the 3D space, the reconstructed 3D surfaces, by using a looping algorithm such that the succession of different geometric transformations between successive 3D surfaces lead to the identity at the end of the complete rotation and by adjusting the different surfaces in one single 3D representation of a complete 360° loop of the surface of the object or of the body. - at least one 3D passive stereovision device equipped with a double optic , - a rotating table on which is placed the object or the body to be imaged or alternatively a frame rotating around the object or the body to be imaged on which is attached the at least one 3D passive stereovision device equipped with a double optic , such that the relative positions of the object or of the body and of the at least one 3D device are such that the object or the body is located in the field of view of the at least one 3D device , - a means for controlling the rotation of the rotating table or a means for controlling the rotating frame and a means for controlling the triggering of shots making it possible to collect a set of stereo pairs acquired by means of the at least one 3D device covering in the set thereof, a 360° angle around the object or the body , - calculation means making it possible to reconstruct, in 3D, pieces of surfaces from stereo pairs acquired, - that means for controlling the rotation of the rotating table or the means for controlling the rotating frame observes a pause in the rotation during each of the shots, and - that is comprises calculation means making it possible to sew the different 3D surface pieces acquired by connecting, by means of geometric criteria in the 3D space, the reconstructed 3D surfaces, by using a looping algorithm such that the succession of different geometric transformations between successive 3D surfaces lead to the identity at the end of the complete rotation and by adjusting the different surfaces in one single 3D representation of a complete 360° loop of the surface of the object or of the body. <EOS>