An Event-Based Pool Physics Simulator

  • Will Leckie
  • Michael Greenspan
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4250)


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.


Angular Velocity Motion State Rolling State Subtractive Term Object Ball 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Will Leckie
    • 1
  • Michael Greenspan
    • 2
  1. 1.Department of Electrical and Computer EngineeringQueen’s UniversityKingstonCanada
  2. 2.Department of Electrical and Computer Engineering, School of ComputingQueen’s UniversityKingstonCanada

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