Billiard game parameters calculation using a depth camera for augmented reality applications

Abstract

The billiard game presents a challenge for players who have to imagine the ball paths, this game raises an issue that requires the application of the classical mechanical physics. The objective of that work is to generate a tool that calculates the ball paths on a billiard table, using an infrared camera as a depth sensor and a projector to indicate the results of the calculated path; using the balls and the cue contours, the principles of mechanical physics are applied dynamically to diagram the possible move in real time. A projected image is obtained over the table, which generates an absolute realism feeling, also the opening angle and use of the depth sensor raise on the surface of the table, which allows to calculate 4 rebounds of the projected path, all this with less than a one second delay, which generates the fluidity feeling for the simulation. A prediction system for the billiard game was obtained, however it does not guarantee the success of the play through external conditions, nevertheless it can give a good idea of the behavior and interaction of the balls. regarding the acquisition of the image, the system due to the changes of environmental light conditions.