光笔式三坐标测量机的蛙跳算法

A Frogleaping Algorithm for Light Pen 3D Coordinate Measuring System

在用光笔坐标机进行测量时,为了达到要求,经常要采用蛙跳法进行测量。建立了相应的数学模型,推导出蛙跳后的新坐标系和原坐标系的转换关系,先粗略求解它们之间的平移向量和旋转矩阵,进一步给出通过最优化方法精确求解平移向量和旋转矩阵的算法。编程实现此蛙跳算法,结合Matlab进行仿真,并分析误差大小,仿真表明该算法具有一定的实用价值和参考价值。

In order to achieve the requirement,the frog leaping method is often used when measuring using light pen 3D coordinate measuring system.A corresponding mathematical model is established,the coordinates transform relationship between new and old coordinates after using frog leaping method is derived.The solution to obtain the approximate translation vector and rotation matrix is given,then an algorithm based on optimized theory to make the translation vector and rotation matrix more precise is given.The algorithm is realized by programming,simulation is conducted with Matlab and accuracy is analyzed.Simulation shows that the algorithm has some use value and reference value.