Chinese Optics, Volume. 16, Issue 2, 425(2023)

The measurement method of heliostat surface shape error based on photogrammetry

Xiu-dong WEI1、*, Fan ZHANG1, and Ying-chao XU2
Author Affiliations
  • 1Institute of Space Optoelectronics Technology, Changchun University of Science and Technology, Changchun 130022, China
  • 2School of Optoelectronics and Communication Engineering, Xiamen University of Technology, Xiamen 361024, China
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    Figures & Tables(13)
    Schematic diagram of the measurement principle
    Schematic diagram of submirror plane imaging
    Schematic diagram of the experimental apparatus
    Flat mirror photos taken by the camera at 1.3 m
    Histogram of angular deviation varying with the measured angle at 1.3 m
    Spatial position map of 4 corner points of a planar mirror simulated by Matlab program
    Flat mirror photos taken by the camera at 1.6 m
    Histogram of angular deviation varying with the measured angle at 1.6 m
    Spatial position map of 4 corner points of a planar mirror simulated by Matlab program
    A histogram of angular deviation varying with distance
    • Table 1. Detection result of tilt angle at 1.3 m

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      Table 1. Detection result of tilt angle at 1.3 m

      实验组别实际倾角/(°)测量倾角/(°)误差/(°)
      110.2810.332+0.052
      211.6111.679+0.069
      313.7613.747−0.027
      415.4115.630+0.220
      516.8616.985+0.125
      618.4318.550+0.070
      719.4819.667+0.187
      820.5120.614+0.104
      921.1721.230+0.060
      1022.0122.249+0.139
      1124.2524.505+0.255
    • Table 2. Detection results of tilt angle at 1.6 m

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      Table 2. Detection results of tilt angle at 1.6 m

      实验组别实际倾角/(°)测量倾角/(°)误差/(°)
      182.2181.936−0.274
      278.3178.419+0.109
      371.5071.647+0.147
      464.9864.533−0.447
      559.9759.808−0.162
      656.8956.574−0.316
      750.6650.502−0.158
      845.2144.845−0.365
      941.8441.743−0.097
      1034.7235.617+0.103
    • Table 3. Measurement results for the mirror with the tilt angles of 16.81° and 10.28° at different distances

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      Table 3. Measurement results for the mirror with the tilt angles of 16.81° and 10.28° at different distances

      实验组别距离/m检测倾角(°)误差(°)平均误差/(°)
      10.28°16.81°10.28°16.81°
      10.810.47816.985+0.198+0.175+0.186
      21.010.34516.819+0.065+0.009+0.037
      31.210.35916.654+0.079−0.156−0.038
      41.410.27816.639−0.002−0.171−0.086
      51.610.34216.481+0.062−0.329−0.134
      61.810.25016.586−0.030−0.224−0.127
      72.010.21316.657−0.067−0.153−0.110
      82.210.24116.523−0.039−0.287−0.163
      92.410.18916.481−0.091−0.329−0.210
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    Xiu-dong WEI, Fan ZHANG, Ying-chao XU. The measurement method of heliostat surface shape error based on photogrammetry[J]. Chinese Optics, 2023, 16(2): 425

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    Paper Information

    Category: Original Article

    Received: Dec. 6, 2021

    Accepted: --

    Published Online: Apr. 4, 2023

    The Author Email:

    DOI:10.37188/CO.2021-0210

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