1. User interaction system, comprising: an electrical apparatus; a portable pointing device operable by a user for pointing to a region in space; a camera taking a picture; motion sensing means; and, a digital signal processor, capable of receiving and processing the picture, and capable of transmitting user interface information derived from the picture to the electrical apparatus; wherein the camera is connected to the pointing device so that in operation it images the region pointed to, wherein the system further comprises at least one room localization beacon, in a room wherein the pointing device is used, that can emit electromagnetic radiation, for use by the digital signal processor in order to recognize to which part of the room the pointing device is pointing; wherein the digital signal processor is further arranged to recognize to which part of a room the pointing device is pointing; and, wherein the digital signal processor is arranged to analyze gestures made with the pointing device based on a motion trajectory of the pointing device.