从一维透视投影图恢复二维刚体运动和结构  

Determining the Motion and Structure of a 2-D Rigid Object from 3 Images of 1-D Perspective Projection

作　　者：刘援越[1] 高满屯[1] 张晓鸥[2] 

机构地区：[1]西北工业大学,西安710072 [2]北京航空航天大学,北京100083

出　　处：《机械科学与技术》2004年第1期28-30,共3页Mechanical Science and Technology for Aerospace Engineering

基　　金：航空基础科学基金项目 (99F5 3 0 65 )资助

摘　　要：研究从一维透视投影图恢复二维刚体运动和结构。证明利用 3幅一维透视投影图中最少 5组对应点可以完全得到二维刚体的旋转运动参数 ,一般情况下有 4个解。可以得到含一个未知比例因子的二维刚体平移运动参数和结构参数 ,能完全确定二维刚体的形状。In this paper,we study the problem of determining the motion and structure of a 2-D rigid object from 3 images of its 1-D perspective projection. It is proved that the 2-D rotational motion parameters of a rigid object can be determined by using 5 corresponding points from 3 images of its 1-D perspective projection at least,and there are 4 solutions in general. The 2-D translation motion parameters with a scale factor can be obtained. The 2-D structure with a scale factor of the rigid object can be determined. The closed-form solutions are obtained on the 2-D rotational motion parameters,and the 2-D translation motion parameters and the 2-D structure with a scale factor of a rigid object. Some simulating experiments show that our method is simple and effective.

关 键 词：透视投影 运动 结构 视觉运动分析 刚体 

分 类 号：O313.3[理学—一般力学与力学基础]