A system that has a remote control, e.g., a wand, equipped with a relative motion sensor that outputs data indicative of a change in position of the wand. The system also has one or more light sources and a photodetector that detects their light and outputs data indicative of the detected light. The system uses one or more controllers to determine the absolute position of the wand based on the data output by the relative motion sensor and by the photodetector. The data enables determination of the absolute pose of the wand, which includes the absolute position of a reference point chosen on the wand and the absolute orientation of the wand. To properly express the absolute parameters of position and/or orientation of the wand a reference location is chosen with respect to which the calculations are performed. The system is coupled to a display that shows an image defined by a first and second orthogonal axes such as two axes belonging to world coordinates (Xo,Yo,Zo). The one or more controllers are configured to generate signals that are a function of the absolute position of the wand in or along a third axis for rendering the display. To simplify the mapping of a real three-dimensional environment in which the wand is operated to the cyberspace of the application that the system is running, the third axis is preferably the third Cartesian coordinate axis of world coordinates (Xo,Yo,Zo).