Opto-Electronic Engineering, Volume. 51, Issue 11, 240211-1(2024)

Reconstruction of the spatial temperature field based on geometric constraints under a thermal imager

Chengyu Ni... Yuanhui Zhang*, Junjiang Zhu and Duo Fu |Show fewer author(s)
Author Affiliations
  • College of Mechanical and Electrical Engineering, China Jiliang University, Hangzhou, Zhejiang 310018, China
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    Figures & Tables(25)
    Overall flowchart
    Calibration plates. (a) Positive view of the calibration plate; (b) Side view of the calibration plate; (c) Thermal imge of the calibration plate; (d) Binarization and inversion of the thermal image
    Angle iron and thermal images
    Contour extraction directly from thermal images
    Remapped heat map and profile extraction results
    Extracted contours of different targets, backgrounds, and distances
    Imaging principle
    Geometric constraints
    Geometric constraints in imaging
    Thermal imager and object coordinate system
    3D model projected onto a heat map
    Projection process
    Thermal imager and angle iron
    3D model of the angle iron
    Acquired thermal images
    Surface temperature field reconstruction results
    Reconstruction results (the left image of each image shows the acquired thermal image, and the right image shows the corresponding reconstruction results). (a) Replacement of background diagonal iron reconstruction at 1.2 m; (b) Reconstruction of the angular iron with the addition of interference at 1.2 m; (c) Reconstruction of a rectangular iron box placed in opposition at 0.6 m; (d) Reconstruction of an aluminium box of a horizontal cuboid at 0.5 m
    ArUco labeling and visible light camera + thermal imager solution (comparative validation tests)
    Visible and thermal maps with ArUco marking
    Reconstruction results of the poseobtained by ArUco
    Z-axis translational radar plot
    • Table 1. Calibration parameters

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      Table 1. Calibration parameters

      重投影误差:0.2731 pixel
      内参矩阵[1181.566130.00000321.503200.000001180.47294242.932820.000000.000001.00000]
      径向畸变[0.166750010.804218737.419377]
      切向畸变[0.001607730.0024203]
    • Table 2. Joint calibration parameters

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      Table 2. Joint calibration parameters

      平均重投影误差:0.1893 pixel
      旋转矩阵[0.99840.00310.05730.00110.99940.03500.05740.03480.9977]
      平移矩阵[3.255754.458522.8751]
    • Table 3. Experimental data

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      Table 3. Experimental data

      数据帧本文方法PNP法可见光相机+热像仪方法
      00.63420.61640.6621
      10.58300.62100.6048
      20.61380.59000.6241
      30.63650.59460.6431
      40.52420.61090.5364
      50.55250.60050.5873
      60.52460.63120.5300
      70.62340.64130.5852
      80.56870.69160.5468
      90.62670.73540.6856
      100.63540.62830.6564
      110.61860.61500.6664
      120.62350.61040.6715
      130.55350.61370.5886
      140.61120.63760.6274
    • Table 4. Experimental data processing

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      Table 4. Experimental data processing

      最大误差/%最小误差/%平均误差/%误差的方差
      本文方法8.61.04.30.001
      PNP法26.51.68.50.005
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    Chengyu Ni, Yuanhui Zhang, Junjiang Zhu, Duo Fu. Reconstruction of the spatial temperature field based on geometric constraints under a thermal imager[J]. Opto-Electronic Engineering, 2024, 51(11): 240211-1

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    Paper Information

    Category: Article

    Received: Sep. 3, 2024

    Accepted: Nov. 15, 2024

    Published Online: Jan. 24, 2025

    The Author Email: Zhang Yuanhui (张远辉)

    DOI:10.12086/oee.2024.240211

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