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; and a digital signal processor, capable of receiving and processing the picture, recognizing an object in the region, and 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 digital signal processor has an object characterizing means for characterizing an object or part of the object present in the picture of the region imaged by the camera, by providing first object characterizing features to object identification means for identifying the object, and which object identification means is capable of outputting object identification data from which the user interface information is constructed; and, wherein the digital signal processor includes identification improvement means, which are capable of further improving a probability that the object represented as object identification data, and user interaction command represented as command identification data, are more reliably identified based on predetermined rules, yielding more reliable user interface information.