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Optimization of a Billiard Player – Position Play

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Book cover Advances in Computer Games (ACG 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4250))

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Abstract

The paper describes optimization principles to produce a computer pool player. A good player has technical and planning abilities. Technically, he sinks balls with precision, and controls the position of the cue ball after the shot. He uses his technical abilities to devise a game plan, sinking the balls in a winning order.

We propose to use the optimization techniques in such a way that it simulates an excellent player. In this paper, we focus on the technical abilities. We provide optimization models to compute the shots to not only sink a given ball, but bring the cue ball at a specified target. Some hints on planning optimization strategies are given.

This research was partially supported by NSERC grant OGP0005491.

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References

  1. Sénéchal, D.: Mouvement d’une Boule de Billard entre les Collisions (unpublished manuscript, 1999)

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  2. Shepard, R.: Amateur Physics for the Amateur Pool Player (self published, 1997)

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  3. Marlow, W.C.: The Physics of Pocker Billiards. MAST, Palm Beach Gardens, Florida (1995)

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  4. Alciatore, D.G.: The Illustrated Principles of Pool and Billiards. Sterling Publishing (2004)

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  5. Grogono, P.: Mathematics for Snooker Simulation (unpublished manuscript, 1996)

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  6. Scilab Group. Ψlab 3.1, Institut National de Recherche en Informatique et Automatique - Domaine de Voluceau - Rocquencourt - B.P. 105 - 78153 - Le Chesnay Cedex - France (2005), email: Scilab inria.fr

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  7. OPT++. An object-Oriented Nonlinear Optimization Library, http://csmr.ca.sandia.gov/projects/opt++

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Author information

Authors and Affiliations

  1. Département d’Informatique, Université de Sherbrooke, Sherbrooke, (Québec), Canada

    Jean-Pierre Dussault & Jean-François Landry

Authors
  1. Jean-Pierre Dussault
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  2. Jean-François Landry
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Editor information

Editors and Affiliations

  1. Games and AI Group, MICC, Faculty of Humanities and Sciences, Universiteit Maastricht, Maastricht, The Netherlands

    H. Jaap van den Herik

  2. Department of Information Management, Chang Jung Christian University, Tainan

    Shun-Chin Hsu

  3. Institute of Information Science, Academia Sinica, Taipei,  

    Tsan-sheng Hsu

  4. Institute for Knowledge and Agent Technology, MICC, Universiteit Maastricht, Maastricht, The Netherlands

    H. H. L. M. (Jeroen) Donkers

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© 2006 Springer-Verlag Berlin Heidelberg

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Dussault, JP., Landry, JF. (2006). Optimization of a Billiard Player – Position Play. 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_20

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  • DOI: https://doi.org/10.1007/11922155_20

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48887-3

  • Online ISBN: 978-3-540-48889-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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