基于激光多边法的坐标测量系统最佳布局

Optimal Layout of Three-Dimensional Coordinate Measurement System Based on Laser Multi-Lateration

基于激光多边法的坐标测量系统的测量精度受到其布局方式的影响。前期研究中通过对无目标点自标定模型误差传递规律的理论分析,将系统的布局方式优化为直角三棱锥布局。在此基础上,通过对线性化后的系统测量模型进行误差分析,发现当该测量模型系数矩阵的条件数取得最小值时,得到系统的最佳布局方式为直角正三棱锥布局。仿真结果表明,直角正三棱锥布局可有效保证系统的测量精度。

The measurement accuracy of the three-dimensional（3D）coordinate measuring system based on laser multi-lateration is influenced by its layout.In previous study,the system′s layout is optimized for the tri-rectangular pyramid layout by theoretical analysis of the non-target self-calibration model.On this basis,through error analysis of the linearized measurement model of the system,it is found that the optimal layout,that is the tri-rectangular regular pyramid layout,is obtained,when the condition number of the coefficient matrix of the measurement model achieves minimum.Simulation results show that the tri-rectangular regular pyramid layout can efficiently ensure the accuracy of the system.