Dartmouth logo Dartmouth College Computer Science
Technical Report series
CS home
TR home
TR search TR listserv
By author: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z
By number: 2017, 2016, 2015, 2014, 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004, 2003, 2002, 2001, 2000, 1999, 1998, 1997, 1996, 1995, 1994, 1993, 1992, 1991, 1990, 1989, 1988, 1987, 1986

Billiards Adviser as a Search in a Continuous Domain with Significant Uncertainty
Thomas Mueller
Dartmouth TR2003-448

Abstract: Typical search algorithms are limited to problems in which there is a certain number of moves for any given state, and the effect of each move is well known. In order to overcome this limitation, we consider the problem of determining the optimal shot given the positions of balls on a billiards table. Our solution includes the image recognition necessary to determine each ball's position, the calculation of the optimal shot, and the presentation of that shot to the player. The focus of the paper is on the second part - determining the angle and force with which the player should attempt to hit the cue ball for each shot in order to sink all of the other balls with the fewest shots. The solution to this problem is unique from other game search algorithms in that it must take into account the infinite number of possible shots given any configuration of balls as well as the fact that the player is not likely to hit the ball exactly how he attempts to do so. We compare the performance of our algorithm with one that ignores the latter fact to show that our modifications do in fact improve performance for a search in a continuous domain with significant uncertainty.

Note: Advisor: Zack Butler


Bibliographic citation for this report: [plain text] [BIB] [BibTeX] [Refer]

Or copy and paste:
   Thomas Mueller, "Billiards Adviser as a Search in a Continuous Domain with Significant Uncertainty." Dartmouth Computer Science Technical Report TR2003-448, May 2003.

Notify me about new tech reports.

Search the technical reports.

To receive paper copy of a report, by mail, send your address and the TR number to reports AT cs.dartmouth.edu

Copyright notice: The documents contained in this server are included by the contributing authors as a means to ensure timely dissemination of scholarly and technical work on a non-commercial basis. Copyright and all rights therein are maintained by the authors or by other copyright holders, notwithstanding that they have offered their works here electronically. It is understood that all persons copying this information will adhere to the terms and constraints invoked by each author's copyright. These works may not be reposted without the explicit permission of the copyright holder.

Technical reports collection maintained by David Kotz.