Abstract: Pictures of an object to be measured are taken from several different positions or aspects by a video camera which is mounted via a two-axis articulating head to the measurement arm of a coordinate-measuring machine. The pictures taken from the different positions or aspects are stored and are evaluated with respect to the coordinates of characteristic points of interest on the surface of the object by the method of space intersection, known from photogrammetry. And, in this connection, the position-measurement values supplied by the scales of the coordinate-measuring machine and the angle-measurement values supplied by the articulating head are used for a calculated determination of the coordinates for each of the points of interest on the surface of the object.