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基于透镜阵列的三维姿态角度测量

杜明鑫 闫钰锋 张燃 才存良 于信 白素平 于洋

杜明鑫, 闫钰锋, 张燃, 才存良, 于信, 白素平, 于洋. 基于透镜阵列的三维姿态角度测量[J]. 中国光学(中英文), 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129
引用本文: 杜明鑫, 闫钰锋, 张燃, 才存良, 于信, 白素平, 于洋. 基于透镜阵列的三维姿态角度测量[J]. 中国光学(中英文), 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129
DU Ming-xin, YAN Yu-feng, ZHANG Ran, CAI Cun-liang, YU Xin, BAI Su-ping, YU Yang. 3D position angle measurement based on a lens array[J]. Chinese Optics, 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129
Citation: DU Ming-xin, YAN Yu-feng, ZHANG Ran, CAI Cun-liang, YU Xin, BAI Su-ping, YU Yang. 3D position angle measurement based on a lens array[J]. Chinese Optics, 2022, 15(1): 45-55. doi: 10.37188/CO.2021-0129

基于透镜阵列的三维姿态角度测量

doi: 10.37188/CO.2021-0129
基金项目: 吉林省教育厅“十三五”科学技术项目(No. JJKH20200756KJ);吉林省科技发展计划项目(No. 20200401054GX);长春理工大学青年基金(No. XQNJJ-2019-01)
详细信息
    作者简介:

    杜明鑫(1995—),男,河北承德人,硕士研究生,2019年于长春理工大学光电信息学院获得学士学位,目前研究方向包括光机结构设计、误差分析、光电检测技术。E-mail: 1146816493@qq.com

    闫钰锋(1978—),男,吉林辽源人,工学博士,教授,博士生导师,2010年于长春理工大学测试计量技术与仪器专业获得博士学位,目前的研究方向包括光机结构设计、光电检测技术、仪器精度分析、光学测量。E-mail: yanyufeng@cust.edu.cn

  • 中图分类号: TP394.1;TH691.9

3D position angle measurement based on a lens array

Funds: Supported by “13th Five-Year” Science and Technology Project of Education Department of Jilin Province (No. JJKH20200756KJ); Science and Technology Development Project of Jilin Province (No. 20200401054GX); Youth Fund of Changchun University of Science and Technology (No. XQNJJ-2019-01)
More Information
  • 摘要: 三维姿态角的精确测量在航空、航天、国防等领域应用广泛,为方便准确地实现三维姿态角的测量,本文设计了一种基于透镜阵列的测量系统,并建立了微小三维姿态角测量分析模型。系统中,准直平行光束通过4个排列成金字塔形的阵列透镜,在CCD上形成规则分布的阵列光斑。通过分析CCD成像光斑间的距离、透镜阵列上相邻孔径之间的距离以及透镜阵列与CCD之间的倾斜角,可以得到光束相对于接收系统俯仰角和偏摆角,利用阵列光斑连线相对水平或垂直面的夹角,可同时得到绕Z轴的滚转角。通过与高精度自准直仪测量结果进行比较,证明所提方法的测量精度可以达到RMS≤0.1″,表明该方法能够实现三维姿态角的测量。

     

  • 图 1  系统结构示意图。(a)应用系统结构示意图;(b)系统原理结构示意图

    Figure 1.  Schematic diagram of the proposed system. (a)Structure diagram of application system; (b)structure diagram of system principle

    图 2  入射光的示意图。(a)向上的入射光线,(b)向下的入射光线

    Figure 2.  Schematic diagram of the incident light. (a) Upward incident light; (b) downward incident light

    图 3  扭转角示意图。(a)扭转角为0时的斑点示意图;(b)扭转角为$ \gamma $时的斑点示意图

    Figure 3.  Schematic diagram for the torsion angle. (a) The spots′ schematic diagram when the torsion angle is 0; (b) the spots′ schematic diagram when the torsion angle is $\gamma $

    图 4  透镜阵列的实物图和模拟图。(a)透镜阵列实物图;(b)透镜阵列尺寸图;(c)透镜阵列俯视图;(d)透镜阵列侧视图

    Figure 4.  Physical picture and simulation charts of the lens array. (a) Physical picture of the lens array; (b) size of the lens array; (c) top view of the lens array; (d) side view of the lens array

    图 5  实验装置图

    Figure 5.  Experimental set-up

    图 6  第7组光斑图

    Figure 6.  The seventh group of light spots

    图 7  相邻光斑拟合曲线

    Figure 7.  Fitting of adjacent spots

    图 8  不同βy值时的光斑阵列图像。(a) βy = 250″;(b) βy = 500″

    Figure 8.  Spot array images with different βy when βx = 0; (a) βy = 250″;(b) βy = 500″

    图 9  Y方向的测量结果。(a) 质心间距随 βy 变化的曲线;(b) 与自准直仪相比的误差曲线

    Figure 9.  Measurement results in the Y direction. (a) Centroid spacing changing with βy; (b) error curves in comparison with autocollimators

    图 10  βx值不同时的光斑阵列图像。(a) βx = 250″;(b) βx = 500″

    Figure 10.  Spot array image with different βx. when βy = 0. (a) βx = 250″; (b) βx = 500″

    图 11  X方向的测量结果。(a) 中心点间距随 βx 变化的曲线;(b) 与自准直仪相比较的误差曲线

    Figure 11.  Measurement results in the X direction. (a) Centroid spacing changing with βx; (b) error curves in comparison with autocollimators

    图 12  中心点随Z方向倾角变化曲线

    Figure 12.  Curve of centroid varying with inclination angle in the Z direction

    图 13  自动准直仪的对比度误差和XY方向的光斑间距

    Figure 13.  Contrast error compared with the results measured with autocollimator and spot spacing in X and Y directions

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出版历程
  • 收稿日期:  2021-06-25
  • 修回日期:  2021-07-21
  • 网络出版日期:  2021-10-20
  • 刊出日期:  2022-01-19

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