Abstract
The paper presents a method to simulate the physics of the game of pool. The method is based upon a parametrization of ball motion which allows the time of occurrence of events, such as collisions and transitions between motion states, to be solved analytically. It is shown that the occurrences of all possible events are determined as the roots of polynomials up to fourth order, for which closed-form solutions exist. The method is both accurate, returning continuous space solutions for both time and space parameters, and efficient, requiring no iterative numerical methods. It is suitable for use within a game tree search, which requires a great many potential shots to be modeled efficiently, and within a robotic pool system, which requires a high accuracy in predicting shot outcomes.
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© 2006 Springer-Verlag Berlin Heidelberg
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Leckie, W., Greenspan, M. (2006). An Event-Based Pool Physics Simulator. In: van den Herik, H.J., Hsu, SC., Hsu, Ts., Donkers, H.H.L.M.(. (eds) Advances in Computer Games. ACG 2005. Lecture Notes in Computer Science, vol 4250. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11922155_19
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DOI: https://doi.org/10.1007/11922155_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-48887-3
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