Procrustes method in coordinate transformation on multi-station of large scale measurement

WANG De-yuan; ZHANG Xiao-lin; MA Qiang; WANG Jun; SUN He-yi; TANG Wen-yan; SHAO Jiang; YU W

doi:10.3788/OPE.20142204.0949

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Procrustes method in coordinate transformation on multi-station of large scale measurement

Micro/Nano Technology and Fine Mechanics | 更新时间：2020-08-13

- Procrustes method in coordinate transformation on multi-station of large scale measurement
- Optics and Precision Engineering Vol. 22, Issue 4, Pages: 949-955(2014)
- 作者机构：
  
  1. 哈尔滨工业大学电气工程及自动化学院,黑龙江哈尔滨,150001
  2. 吉林铁道职业技术学院,吉林市吉林,132001
  3. 北京卫星制造厂北京,100190
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20142204.0949
  CLC： TB92;TN72
- Received：10 December 2013，
  
  Revised：17 January 2014，
  
  Published：25 April 2014
- 稿件说明：
移动端阅览
王德元, 张晓琳, 马强等. 多站大尺寸测量仪坐标系转换的Procrustes方法[J]. 光学精密工程, 2014,22(4): 949-955

WANG De-yuan, ZHANG Xiao-lin, MA Qiang etc. Procrustes method in coordinate transformation on multi-station of large scale measurement[J]. Editorial Office of Optics and Precision Engineering, 2014,22(4): 949-955
王德元, 张晓琳, 马强等. 多站大尺寸测量仪坐标系转换的Procrustes方法[J]. 光学精密工程, 2014,22(4): 949-955 DOI： 10.3788/OPE.20142204.0949.

WANG De-yuan, ZHANG Xiao-lin, MA Qiang etc. Procrustes method in coordinate transformation on multi-station of large scale measurement[J]. Editorial Office of Optics and Precision Engineering, 2014,22(4): 949-955 DOI： 10.3788/OPE.20142204.0949.

摘要

提出了用7参数Procrustes方法建立了具有尺度因子的7参数坐标转换模型对多站大尺寸坐标测量仪坐标数据进行转换。首先，根据大尺寸测量仪坐标转换的原理，建立了7参数大尺寸坐标转换的非线性模型，并具体分析了Procrustes方法及其对坐标转换的适用性和重心法的转换过程。然后，列出了7参数Procrustes坐标转换方法的具体算法步骤；最后，利用该方法对一台Faro激光跟踪仪在移站前后的实际测量数据进行了坐标转换验证。对所得结果与激光跟踪仪配套软件移站的结果以及重心法的测量结果进行了比较，还利用所得的转换参数对一已知长度的基准尺两端坐标值进行转换验证。结果表明：利用7参数Procrustes方法得到坐标转换后

x、y、z

三个轴的最大误差分别为24.5

m、42.5

m和32.8

m，转换结果的中误差为17.1

m，远远高于配套软件以及重心法的转换精度。另外，用转换后的坐标值计算基准尺长度的极差为36

m。该坐标转换方法也可用于不同种类的坐标测量仪的数据匹配。

Abstract

A 7 parameter Procrustes method with scale factors was proposed and a coordinate conversion model was established to transform coordinate data for a multi-station in large scale coordinate measurement.First

according to the coordinate transformation principle of large-size measuring instrument

the 7 parameter non-linear model in coordinate transformation was established

the Procrustes method and its applicability for coordinate transformation were analyzed and the transformation process of the center method was introduced. Then

the working steps of the 7 parameter Procrustes algorithm were listed. Finally

this method was used to test and verify the measuring data from a Faro laser tracker. The obtained results were compared with those from the laser tracker supporting software in a transfer station and center method and also the conversion parameters were used to transform the coordinates for both ends of a scale bar with a given length. The results show that the maximum error of the 7 parameters method in three axes of

are 24.5

42.5

m and 32.8

m and the mean error of this method is 17.1

better than that of the supporting software and the center method. Moreover

the error range of the scale bar's length is 36

m in transformed coordinates of this method. The method is also suitable for other coordinate transform instruments to implement data matching.

关键词

Keywords

references

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