An apparatus for recording medical objects, in particular for recording models of prepared teeth, comprising a position-sensitive sensor (2), which is movable in the projection direction, with a projection unit and a receiving unit (13-15; 18-21), and with a certain triangulation angle (.alpha.) located between the projection path of the rays (10) of the projection unit (13-15) and the observation path of the rays (11) of the receiving unit (18-21), and with the projection path of the rays (10) aligned parallel to the direction of movement of the sensor (2), is realized for the accurate recording action of edges and steep surfaces of the type that occur in tooth cavities with a triangulation angle (.alpha.) that is smaller than 10.degree., preferably smaller than 5.degree..