A 3-D camera and a method for recording surface structures on an object of interest by triangulation, in particular for dental purposes. The camera provides for producing a group of light beams in order to illuminate the object of interest via a projection optical path, an image sensor for receiving light back-scattered by the object of interest via an observation optical path, and provides, in the projection optical path, for producing a pattern projected onto the object of interest. To avoid ambiguities in the event of large height differences, the camera provides for the projection optical path and/or the observation optical path for altering the triangulation angle, which is defined by the angle between the centroid beam of the projection optical path and the centroid beam of the observation optical path. The proposed process involves the taking of at least two 3-D measurements of the same object of interest with different triangulation angles.