Abstract: Into the mandibular or maxillary bone of a patient a plurality of osteo-integrated implants (10) are inserted. Each implant (10) has a bearing surface (12) for a mating surface (13) of a framework (F), and a threaded hole (15) perpendicular to the bearing surface (12) and capable of receiving a screw (14) for connecting the framework to the implant (10). To each implant is coupled a gauge (20) with a stem (21) screwed into the threaded hole (15) of the implant and a spherical head (22) protruding visibly beyond the edge of the patient's gum. Images of the oral cavity are obtained from different viewpoints, and from those images data regarding the position of the centres (Z) of the spherical heads and data regarding the orientation of the stems (21) are obtained.

Abstract: A system for measuring gap and mismatch by optical triangulation projects two parallel light planes onto the parts to be characterized so as to form two brightness lines. The three-dimensional profiles of the parts are calculated along the brightness lines. Raw values of gap and mismatch are calculated, preferably using particular reference points and lines. These raw values are then corrected by reference to the separation between the light planes and the change in position of a reference point of the profile of one of the parts from one brightness line to the other.