光电工程, 2012, 39 (10): 26, 网络出版: 2012-11-22
三维坐标转换精度及其影响因素的研究
Three-dimensional Coordinate Transformation Accuracy and Its Influencing Factors
坐标转换精度 公共点 最小二乘估计 激光跟踪仪 coordinate transformation accuracy common points least squares estimation laser tracker
摘要
为了对大空间组合测量中的三维坐标转换精度进行分析, 指导现场测量公共点的布置方案, 通过对坐标转换参数的最小二乘不等精度估计, 建立了坐标转换精度在空间中分布的数学模型。通过模型可以得到空间中任意被测点的转换精度, 并且转换精度受到公共点的测量点位误差及其几何分布的影响。最后结合多个公共点三维坐标数据分析了转换精度影响因素。实验表明, 通过改进公共点坐标测量精度及几何分布能够有效地提高三维坐标转换精度。
Abstract
In order to analyze the accuracy of three-dimensional coordinates transformation and guide the distribution of common points in measurement on site, a mathematical model of the relationship between the accuracy of three- dimensional coordinates transformation and common points was established using least square estimation of unequal accuracy theory. Analyzing the model, we could get the transformation accuracy at any point of the space and draw a conclusion that the mean square error and distribution of the common point are the main factors of coordinate transformation accuracy. Finally, the factors of coordinate transformation accuracy were analyzed using three-dimensional coordinate measurement data of common points. The experiment shows that transformation accuracy can be effectively improved by improving the measurement accuracy of the laser tracker and changing the distribution of the common point.
张皓琳, 林嘉睿, 邾继贵. 三维坐标转换精度及其影响因素的研究[J]. 光电工程, 2012, 39(10): 26. ZHANG Hao-lin, LIN Jia-rui, ZHU Ji-gui. Three-dimensional Coordinate Transformation Accuracy and Its Influencing Factors[J]. Opto-Electronic Engineering, 2012, 39(10): 26.