光学精密工程2012，Vol.20Issue(9)：1953-1959,7.DOI:10.3788/OPE.20122009.1953
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
摘要
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 ?). By taking the angle from Leica theodolite (the accuracy is 0. 5") as the true value to calibrate the precision, the measured precision angles for a and/?are 3. 59" and 3. 76", respectively, which satisfies the requirements of deflection angle measurement.关键词
挠曲角测量/自准直法/Sobel算子/直线拟合/局部最小二乘法/加权整体最小二乘法Key words
deflection angle measurement/ self-collimation method/ Sobel operator/ line fitting/ partial least squares/ weighted total least squares分类
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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):1953-1959,7.基金项目
国家863高技术研究发展资助项目 （）
