Application of WTLS in coordinate transformation of laser tracker

LI Li-juan; ZHAO Yan-hui; LIN Xue-zhu

doi:10.3788/OPE.20152309.2570

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Application of WTLS in coordinate transformation of laser tracker

更新时间：2020-08-12

- Application of WTLS in coordinate transformation of laser tracker
- Optics and Precision Engineering Vol. 23, Issue 9, Pages: 2570-2577(2015)
- 作者机构：
  
  1. 长春理工大学光电工程学院,吉林长春,130022
  2. 长春理工大学机电工程学院,吉林长春,130022
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20152309.2570
  CLC： TH744.5
- Received：20 January 2015，
  
  Revised：27 February 2015，
  
  Published：25 September 2015
- 稿件说明：
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李丽娟, 赵延辉, 林雪竹. 加权整体最小二乘在激光跟踪仪转站中的应用[J]. 光学精密工程, 2015,23(9): 2570-2577

LI Li-juan, ZHAO Yan-hui, LIN Xue-zhu. Application of WTLS in coordinate transformation of laser tracker[J]. Editorial Office of Optics and Precision Engineering, 2015,23(9): 2570-2577
李丽娟, 赵延辉, 林雪竹. 加权整体最小二乘在激光跟踪仪转站中的应用[J]. 光学精密工程, 2015,23(9): 2570-2577 DOI： 10.3788/OPE.20152309.2570.

LI Li-juan, ZHAO Yan-hui, LIN Xue-zhu. Application of WTLS in coordinate transformation of laser tracker[J]. Editorial Office of Optics and Precision Engineering, 2015,23(9): 2570-2577 DOI： 10.3788/OPE.20152309.2570.

摘要

由于利用经典最小二乘原则对激光跟踪仪进行坐标转换时

系数矩阵中携带的随机测量误差会影响转站精度

故对激光跟踪仪的转站算法进行了研究。提出了基于线性EIV模型(Errors-in-Variables)和加权整体最小二乘法(WTLS)并利用间接平差形式迭代求解转站参数的方法;利用Matlab进行仿真分析并用API公司生产的激光跟踪仪进行实验。仿真结果显示WTLS法的单位权中误差的平均值和标准差分别为经典加权最小二乘法(WLS)的4/5和1/5;实验结果显示WTLS和WLS两种方法的单位权中误差分别为2.003 5 mm和2.225 3 mm;这些数据证明采用WTLS法的转站结果比WLS的精度更高且更稳定。该方法可为组建激光跟踪仪测量网络

优化网络布局奠定基础。

Abstract

The coordinate transformation algorithm of a laser tracker was investigated to solve the problem that random measurement error from the coefficient matrix of classical least square algorithm influences on transformation precision. The linear Errors-in-Variables(EIV ) model and Weighted Total Least Square (WTLS) were put forward and the form of indirect adjustment was used to solve the parameters of coordinate transformation in iteration. Simulation experiments using Matlab and practical experiments with API laser tracker were performed. The simulation results indicate that the average value and the standard deviation of mean square error of unit weight of WTLS are 4/5 and 1/5 times of those of traditional Weighted Least Square(WLS) respectively. The results of practical experiments show that mean square errors of unit weight of WTLS and WLS are 2.003 5 mm and 2.225 3 mm

respectively. These results verify that the WTLS achieves higher transformation precision and better stability than those of the WLS. Meanwhile

this method can provide the foundation for establishment of laser tracker measuring networks and optimization of network arrangement.

关键词

Keywords

references

陈洪芳,闫昊,石照耀. 面向特大型齿轮的激光跟踪多站位定位[J]. 光学精密工程,2014,22(9):2375-2380. CHEN H F,YAN H,SHI ZH Y. Laser tracking multi-station positioning method for Mega-gear [J]. Opt.Precision Eng.,2014,22(9):2375-2380. (in Chinese)

黄鹏,王青,俞慈君,等. 飞机航炮的数字化校准分析[J]. 光学精密工程,2013,21(12):3102-3110. HUANG P, WANG Q, YU J, et al.. Accuracy analysis for digital boresighting of aircraft gun [J]. Opt.Precision Eng.,2013,21(12):3102-3110. (in Chinese)

李锐钢. 基于激光跟踪仪标定五轴数控加工中心主轴[J]. 光学精密工程,2012,20(3):477-483. LI R G. Calibration of tool spindle for 5-axis CNC machine using laser tracker[J]. Opt.Precision Eng.,2012,20(3):477-483. (in Chinese)

欧阳健飞,刘万里,闫勇刚,等. 激光跟踪仪坐标测量精度的研究[J]. 红外与激光工程,2008(S1):15-18. OUYANG J F, LIU W L, YAN Y G, et al.. Coordinate measuring accuracy 0I laser tracker [J]. Infrared and Laser Engineering, 2008(S1):15-18. (in Chinese)

林嘉睿. 大型复杂物体组合测量方法研究[D]. 天津:天津大学,2012. LIN J R. Research on the Combined Measurement Method of Large Complex Objects [D]. Tianjin:Tianjin University,2012. (in Chinese)

林嘉睿,邾继贵,郭寅,等. 现场大空间测量中精密三维坐标控制网的建立[J]. 机械工程学报,2012(4):6-11. LIN J R, ZHU J G, GUO Y, et al.. Establishment of Precise Three-dimensional coordinate control network in field large-space measurement[J]. Journal of Mechanical Engineering, 2012(4):6-11. (in Chinese)

杨化超,卢晓攀,王永波,等. 摄影测量共线方程的单位四元数描述[J]. 中国图象图形学报,2012(3):301-308. YANG H CH,LU X P,WANG Y B, et al.. Unit quaternion based description of collinearity equations [J]. Journal of Image and Graphics,2012(3):301-308. (in Chinese)

姚吉利,韩保民,杨元喜. 罗德里格矩阵在三维坐标转换严密解算中的应用[J]. 武汉大学学报(信息科学版),2006,12:1094-1096,1119. YAO J L, HAN B M, YANG Y X. Applications of lodrigues matrix in 3D coordinate transformation [J].Geomatics and Information Science of Wuhan University, 2006,12:1094-1096,1119. (in Chinese)

葛旭明,伍吉仓. 三维基准转换的约束加权混合整体最小二乘的迭代解法[J]. 武汉大学学报(信息科学版),2012(2):178-182. GE M X,WU J C. Iterative solution to CWLS-TLS of 3D coordinate transformation [J]. Geomatics and Information Science of Wuhan University, 2012(2):178-182. (in Chinese)

官云兰,刘绍堂,周世健,等. 基于整体最小二乘的稳健点云数据平面拟合[J]. 大地测量与地球动力学,2011(5):80-83. GUAN Y L,LIU SH T,ZHOU SH J, et al.. Robust plane fitting of point clouds based on TLS [J]. Journal of Geodesy and Geodynamics, 2011(5):80-83. (in Chinese)

杨凡,李广云,王力. 三维坐标转换方法研究[J]. 测绘通报,2010(6):5-7,15. YANG F, LI G Y, WANG L. Research on the methods of calculating 3D coordinate transformtion parameters [J]. Bulletin of Surveying and Mapping, 2010(6):5-7,15. (in Chinese)

杨仕平,范东明,龙玉春. 基于整体最小二乘法的任意旋转角度三维坐标转换[J]. 大地测量与地球动力学,2013(2):114-119. YANG SH P, FAN D M, LONG Y CH. Three-dimensional coordination transformation adapted to arbitrary rotation angle based on total least squares method [J].Journal of Geodesy and Geodynamics,2013(2):114-119. (in Chinese)

许超钤,姚宜斌,张豹,等. 基于整体最小二乘的参数估计新方法及精度评定[J]. 测绘通报,2011(10):1-4. XU CH Q,YAO Y B,ZHANG B, et al...New method of parameters estimation and accuracy evaluation based on TLS [J]. Bulletin of Surveying and Mapping,2011(10):1-4. (in Chinese)

周拥军,邓才华. 加权和不加权TLS方法及其在不等精度坐标变换中的应用[J]. 武汉大学学报(信息科学版),2012(8):976-979,1007. ZHOU Y J,DENG C H.Weighted and unweighted total least square methods and applications to heteroscedastic 3D coordinate transformation [J].Geomatics and Information Science of Wuhan University,2012(8):976-979,1007. (in Chinese)

刘经南,曾文宪,徐培亮. 整体最小二乘估计的研究进展[J]. 武汉大学学报(信息科学版),2013(5)505-512. LIU J N,ZENG W X,XU P L. Overview of total least squares methods [J]. Geomatics and Information Science of Wuhan University, 2013(5):505-512. (in Chinese)

胡川,陈义. 解加权总体最小二乘平差问题的一种新方法[J]. 大地测量与地球动力学,2012(6):106-110. HU CH, CHEN Y.An Innovated algorithm for solution of weighted total least squares adjustments [J]. Journal of Geodesy and Geodynamics,2012(6):106-110. (in Chinese)

周维虎,费业泰,李百源,等. 激光跟踪仪几何误差修正[J]. 仪器仪表学报,2002(1):56-59,63. ZHOU W H,FEI Y T,LI B Y,et al..The correction of geometric error for laser tracker [J]. Chinese Journal of Scientific Instrument,2002(1):56-59,63. (in Chinese)

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