Laser & Optoelectronics Progress, Volume. 60, Issue 10, 1015002(2023)

Hand-Eye Calibration Method of Line Structured Light Vision Sensor Robot Based on Planar Target

Qinghua Wu1,2、*, Jiefeng Qiu1,2、**, Zhiang Li1,2, Jiacheng Liu1,2, and Biao Wang1,2
Author Affiliations
  • 1School of Mechanical Engineering, Hubei University of Technology, Wuhan 430068, Hubei, China
  • 2Hubei Provincial Key Laboratory of Modern Manufacturing Quality Engineering, Wuhan 430068, Hubei, China
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    Figures & Tables(10)
    3D measurement system model
    Flat circular target
    Hand-eye calibration diagram
    3D measurement system experimental platform
    Target. (a) Flat target; (b) standard ball target
    Sawtooth target
    • Table 1. Parameters of experimental platform equipment

      View table

      Table 1. Parameters of experimental platform equipment

      EquipmentSpecificationParameter

      Epson

      industrial

      robot

      ModelC3-A6008

      Repeat positioning

      accuracy /mm

      ±0.02

      Line structured

      light vision

      sensor

      Format /mm200×100
      Wavelength /nm650
      Resolution in X direction /mm0.1
      Resolution in Z direction /mm0.05
      Working distance /mm200
      Accuracy /mm±0.1

      Flat round

      target

      Solid circle diameter /mm35
      Accuracy /μm±3

      Standard ball

      target

      Diameter /mm30
      Accuracy /μm±0.5

      Sawtooth

      target

      Sawtooth spacing /mm20
      Number of crests9
    • Table 2. Center coordinate data of plane circular target

      View table

      Table 2. Center coordinate data of plane circular target

      Serial

      number

      Pose information of robot flange end in base coordinate system

      Coordinates of center of circle

      in the sensor coordinate system

      X /mmY /mmZ /mmU /(°)V /(°)W /(°)x /mmy /mmz /mm
      1-32.253367.453506.01689.6212.382171.804-0.95810.000185.4521
      2-19.044360.459509.86289.7641.924173.6562.37650.000188.6238
      3-39.476360.983497.478109.6232.910170.899-1.70340.000176.987
      4-19.606360.459509.862109.8861.924173.656-1.92190.000188.4338
      5-14.612353.825494.952129.8711.924173.6562.78870.000173.4879
      618.626386.508492.352130.1322.433-179.7902.24080.000173.2039
      78.224393.724492.352150.1052.433-179.7902.18960.000173.1993
      837.212424.477489.681150.1160.904-173.9650.55720.000176.751
      99.046436.601496.237173.0000.904-173.965-1.19220.000183.0772
      1030.935384.340495.937172.886-2.805179.1800.52820.000177.3549
      1121.017395.756483.330-167.193-2.805179.1802.28460.000165.0681
      1221.017395.756483.330-167.193-2.805179.1802.28580.000165.0752
      13-42.936388.969489.67471.8094.168169.1190.29090.000170.6475
      14-17.634388.626489.67471.8845.256172.4680.35470.000169.3708
      15-7.797390.195489.67451.8755.256172.4680.90160.000169.2066
      16-36.494358.779489.67452.695-0.493172.0342.55810.000168.9965
      17-15.989341.574489.67432.684-0.120176.7723.70680.000168.2645
      1812.267410.806489.67431.2638.266170.5092.46240.000171.999
    • Table 3. Verification experiment of repeated positioning accuracy of 3D measurement system

      View table

      Table 3. Verification experiment of repeated positioning accuracy of 3D measurement system

      Serial numberMatrix HLT inverse 3D coordinatesMatrix HB inverse 3D coordinates
      XYZXYZ
      Standard deviation0.21450.3893
      1-8.3326341.3045105.0707-8.3438341.3810105.8428
      2-8.3678341.3657104.9710-8.4239341.0357105.7163
      3-8.3285341.4857105.3702-8.3891341.5315106.1413
      4-8.2841341.4204105.0968-8.3846341.0151105.8649
      5-8.3586341.3741104.9267-8.4405341.4348105.6984
      6-8.3014341.3059104.7649-8.5576341.3385105.5357
      7-8.2319341.4018104.7125-8.2930341.4127105.4774
      8-8.2996341.5159104.8848-8.3177341.4915105.6383
      9-8.3614341.3923104.7291-8.0712341.3675105.5057
      10-8.4832341.4684105.0155-8.4853341.5272105.0967
      11-8.2707341.4413104.9817-8.2956341.0700105.1214
      12-8.4303341.5124105.1678-8.4419341.8443105.9150
      13-8.3001341.3180105.2831-8.3314341.4260106.0547
      14-8.2927341.2756105.1918-8.0887341.5793105.9493
      15-8.3941341.3813105.0576-8.3323341.5254105.8204
      16-8.4299341.3840105.1271-8.3383341.5229105.8647
    • Table 4. Measurement accuracy verification experiment of 3D measurement system

      View table

      Table 4. Measurement accuracy verification experiment of 3D measurement system

      Serial numberFlat targetStandard ball target
      EFCDABEFCDAB
      120.224280.2756179.690920.138279.8808180.1398
      219.805079.6891179.716720.337779.9512179.5426
      319.831180.3123180.192019.501880.4996180.6814
      420.161779.9087180.233719.971679.5309180.3112
      520.021379.7100180.543320.537879.8903180.5709
      620.342180.5239179.669019.776679.9608179.6822
      720.324080.1450180.041519.901779.5088179.7994
      820.250480.2395180.384019.711680.5410180.3040
      919.693280.2055180.298320.392380.6485179.4420
      1019.973779.9394179.624220.399979.6180180.7706
      1120.005979.8291180.009119.463979.5685180.6307
      1219.722780.4235180.048919.533980.1957179.5418
      1319.713680.2535179.503320.584179.5327179.6580
      1420.294180.1669179.629020.428279.6015180.3610
      1520.226980.2098179.998719.491680.5543179.6905
      1619.834779.9973180.043719.561580.4769180.4188
      Truth value20801802080180
      RMSE0.23010.26290.30000.40370.41360.4596
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    Qinghua Wu, Jiefeng Qiu, Zhiang Li, Jiacheng Liu, Biao Wang. Hand-Eye Calibration Method of Line Structured Light Vision Sensor Robot Based on Planar Target[J]. Laser & Optoelectronics Progress, 2023, 60(10): 1015002

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    Paper Information

    Category: Machine Vision

    Received: Mar. 1, 2022

    Accepted: Mar. 9, 2022

    Published Online: May. 23, 2023

    The Author Email: Wu Qinghua (wqhua@hbut.edu.cn), Qiu Jiefeng (623779448@qq.com)

    DOI:10.3788/LOP220852

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