Application of Grey Decision in Pool Game Pockets Choice

Abstract

Billiard is a kind of activity in sports science and recreational sports requiring intelligence and skills. The main purpose of this study is to design the robot that can automatically play the billiard using the image processing technology, decision analysis and mechatronics. The mechanical image processing system is to search the coordinate position of the billiards automatically by the CCD camera. The decision analysis of billiard robot is to determine the golf bag for the goal and the angle of the sub-ball crashed into the pockets quickly and correctly using the gray theory. In the end, it would output the result of the operation to the institutions of billiard robot, making sub-ball being crashed into the pockets accurately.The focus of this study is to locate the central position of the cue ball and the sub-ball on the table using image processing techniques, and then to make billiard robot follow the geometric distribution of sub-ball and the cue ball to decide the easiest bag to crash into by means of gray decision-making. Then make the correct decision on how to find the target golf bag when there is a cue ball and a sub-ball on the table, and on how to find out the easiest target goal of sub-ball with the ball bag and its golf bag when there is a cue ball and more than one sub-ball by considering the geometric relationship among pockets, sub-ball and cue ball. Finally, the results of the decision-making system are verified using experiments.