加权整体最小二乘法在光学自准直法测量挠曲角中的应用

乔培玉; 何昕; 魏仲慧

doi:10.3788/OPE.20122009.1953

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加权整体最小二乘法在光学自准直法测量挠曲角中的应用

现代应用光学 | 更新时间：2020-08-12

- 加权整体最小二乘法在光学自准直法测量挠曲角中的应用
- Application of weighted total least squares in measurement of deflection angle with optical self-collimation method
- 光学精密工程 2012年20卷第9期页码：1953-1959
- 作者机构：
  
  1. 中国科学院长春光学精密机械与物理研究所,吉林长春,中国,130033
  2. 中国科学院研究生院北京,100039
- 作者简介：
- 基金信息：
  
  国家863高技术研究发展资助项目()
- DOI：10.3788/OPE.20122009.1953
  中图分类号： TH741.14;V556
- 收稿日期：2012-03-15，
  
  修回日期：2012-05-10，
  
  纸质出版日期：2012-09-10
- 稿件说明：
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乔培玉, 何昕, 魏仲慧. 加权整体最小二乘法在光学自准直法测量挠曲角中的应用[J]. 光学精密工程, 2012,20(9): 1953-1959

QIAO Pei-yu, HE Xin, WEI Zhong-hui. Application of weighted total least squares in measurement of deflection angle with optical self-collimation method[J]. Editorial Office of Optics and Precision Engineering, 2012,20(9): 1953-1959
乔培玉, 何昕, 魏仲慧. 加权整体最小二乘法在光学自准直法测量挠曲角中的应用[J]. 光学精密工程, 2012,20(9): 1953-1959 DOI： 10.3788/OPE.20122009.1953.

QIAO Pei-yu, HE Xin, WEI Zhong-hui. Application of weighted total least squares in measurement of deflection angle with optical self-collimation method[J]. Editorial Office of Optics and Precision Engineering, 2012,20(9): 1953-1959 DOI： 10.3788/OPE.20122009.1953.

摘要

建立了基于光学自准直法的测量系统

利用该系统提取转台的十字丝坐标

完成了对三维物体的挠曲角测量。首先

采用Sobel提取算子对CCD拍摄到的十字丝图像进行边缘检测。然后

采用了自适应的阈值分割进行直线提取;由于转台上有其它划痕存在

采用局部最小二乘进行十字丝的提取。最后

采用加权整体最小二乘法进行十字丝两条线的直线拟合

联立两方程

得出交点坐标值。结果表明

此方法获取的两直线斜率之积的精度在1%以内

非常接近十字丝斜率之积的真值(理论真值为-1)。使用徕卡经纬仪(精度为0.5)的角度值作为真值进行精度标定

测得的精度为3.59

的为3.76

完全满足系统挠曲角测量的精度要求。

Abstract

A self-collimating optical measurement system was set up to measure the deflection angles of three-dimensional objects

in which the values of the deflection angles were obtained by extracting the coordinate of a turntable cross wire. First

Sobel operator was used to detect the image edge of the cross wire taken by a CCD camera

then lines of the cross wire were extracted through self-adaptive threshold division. Because of other turntable scratches

the partial least square method was used to extract the cross wire

and the weighted total least squares was adapted to fit the cross-wire lines. Thus two equations were set up

and the intersection coordinate was obtained through solving the two equations. Experimental results show that the precision of the two line-slope product is within 1%

very close to the true value (theoretical true value is -1). By taking the angle from Leica the odolite (the accuracy is 0.5) as the true value to calibrate the precision

the measured precision angles for

and

are 3.59 and 3.76

respectively

which satisfies the requirements of deflection angle measurement.

关键词

Keywords

references

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