Unity 3D中的最短旋转研究  

Research on shortest rotation in Unity 3D

作　　者：李俊龙 郭仁春[1] 姜檬 王志淳 Li Junlong;Guo Renchun;Jiang Meng;Wang Zhichun(Shenyang University of Chemical Technology,Shenyang 110142,China)

机构地区：[1]沈阳化工大学

出　　处：《无线互联科技》2019年第20期107-109,共3页Wireless Internet Technology

基　　金：2019年辽宁省大学生创新创业训练计划资助项目;项目编号：20191014972

摘　　要：首先,文章介绍了刚体最短旋转的概念,刚体从一个方位旋转到另一个方位的过程中,可以有无限种方式,在这些方式中存在一种方式,绕某一轴旋转一次就能到达指定方位,并且该角在﹣180°~180°之间,称这样的旋转方式为最短旋转。其次,给出最短旋转的数学表达式,即两个方位角的四元数之比。在Unity 3D中,表示刚体方位的参数分别是欧拉角和四元数。文章采用具体实例验证最短旋转与四元数的关系,给出了寻找最短旋转的解决方案。Firstly, this paper introduces the concept of the shortest rotation of a rigid body. There are infinite ways in which a rigid body can rotate from one orientation to another. Only around one axis and at a certain angle, it can reach the specified orientation. And the angle is between ﹣180 degrees and 180 degrees, which is called the shortest rotation. Then the mathematical expression of the shortest rotation, i.e. the quaternion ratio of two azimuths, is given. In Unity 3D, the orientation parameters of rigid body are Euler angle and quaternion, respectively. In this paper, the relationship between the shortest rotation and quaternion is verified by concrete examples, and the solution to find the shortest rotation is given.

关 键 词：UNITY 3D 最短旋转 四元数 

分 类 号：G63[文化科学—教育学]