臺灣博碩士論文加值系統

撞球的運動軌跡因為不同的擊球點和力道有各種桿法。在論文裡我們將從最新的物理模型出發，分析球在撞球檯上的各種變化並說明為何撞球會有推桿、定桿、拉桿、下賽等擊球技巧。在實際上，吾人使用DirectX 3D作模擬,讓球在檯桌上的軌跡真實呈現。

There are several techniques for billiard game according to the respective trajectories of
balls caused by different hitting and forces. In this article, in terms of the latest models of
physics, we analyze the variations in the pool and explain every kinds of billiard techniques.
In practice, we show the trajectories of billiard balls in the real time by a simulation using the
Microsoft Direct 3D programming.

目錄
中文摘要...........................................................I
Abstract......................................................II
目錄.........................................................III
第一章　緒論...................................................1
研究動機與目的..........................................1
撞球基本桿法介紹........................................1
第二章　球在球檯上的變化.......................................4
單顆球在球檯上運動狀態的變化............................5
球與球檯邊的碰撞........................................7
球與球的碰撞............................................8
球桿撞擊母球...........................................10
第三章　球在球檯上的預測軌跡..................................12
撞球的拋物線軌跡.......................................12
撞球的直線軌跡.........................................13
第四章　各式桿法的模擬........................................17
第五章　未來展望..............................................26
參考文獻..............................................27

參考文獻
[1]丁吉塔(2001) 撞球學習技巧 信宏出版社 ISBN：957-538-628-0 。
[2]許耀文(2010) 撞球基本桿法的模擬與摩擦力的探討 國立中山大學機械與機電工
程學系 碩士論文。
[3]張鴻賢(2014) 碰撞理論與撞球遊戲的整合系統 私立中原大學應用數學系 碩士
論文。
[4]Cross, R.(2008).Cue and ball deflection „or “squirt”… in billiards.Am. J. Phys.
76.3.March.
[5]Hakenberg,J.P.(2013). Rigid Body Collision resolution.http://hakenberg.de/.
[6]Jia Y.B.(2011). Trajectory of a Billiard Ball and Recovery of Its
InitialVelocities.MatthewT.Mason and Michael A. Erdmann,School of Computer
Science,Carnegie Mellon University,Pittsburgh, PA 15213, USA.
[7]Shepard, R. (1997).Amateur Physics for the Amateur Pool Player.self published.