Abstract: A device designed for the three-dimensional geometrical detection of an environment includes at least one inertial measurement system for provisionally calculating a trajectory of the detection device. The device is calibrated by steps of: (a) positioning and/or orienting the detection device in a position and/or orientation with respect to at least one reference point characterized by at least one predefined relative coordinate, or determining at least one relative coordinate which characterizes the position and/or the orientation of the detection device relative to at least one reference point; (b) determining at least one error variable which characterizes the deviation of the relative coordinate in accordance with step (a) from the relative coordinate(s) provisionally calculated by the inertial measurement system; and (c) if the error variable fulfills a predefined correction criterion, correcting the provisional trajectory.