• Laser & Optoelectronics Progress
  • Vol. 56, Issue 5, 051502 (2019)
Chengtao Cai and Feng Wang*
Author Affiliations
  • College of Automation, Harbin Engineering University, Harbin, Heilongjiang 150001, China
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    DOI: 10.3788/LOP56.051502 Cite this Article Set citation alerts
    Chengtao Cai, Feng Wang. Fast Trajectory Measurement Algorithm for Linear Motion Based on Binocular Camera[J]. Laser & Optoelectronics Progress, 2019, 56(5): 051502 Copy Citation Text show less
    Image pixel coordinate system
    Fig. 1. Image pixel coordinate system
    Establishment of camera coordinate system
    Fig. 2. Establishment of camera coordinate system
    Camera pinhole model
    Fig. 3. Camera pinhole model
    Binocular ranging model
    Fig. 4. Binocular ranging model
    Schematic of measurement
    Fig. 5. Schematic of measurement
    Schematic of imaging point mapping line
    Fig. 6. Schematic of imaging point mapping line
    Undistort image. (a) Before processing; (b) after processing
    Fig. 7. Undistort image. (a) Before processing; (b) after processing
    Target point coordinate measurement
    Fig. 8. Target point coordinate measurement
    Results of feature point matching
    Fig. 9. Results of feature point matching
    Results of feature point matching in ROI
    Fig. 10. Results of feature point matching in ROI
    Comparison of measured trajectory and actual trajectory
    Fig. 11. Comparison of measured trajectory and actual trajectory
    No.Left eye pixelcoordinate /pixelRight eye pixelcoordinate /pixelActualcoordinate /mmActualrange /mm
    1840,918719,902[0,-540,-4500]4532.3
    2840,920701,904[0,-540,-4000]4036.3
    3840,927683,911[0,-540,-3500]3541.4
    4840,937656,920[0,-540,-3000]3048.2
    5840,948619,932[0,-540,-2500]2557.7
    6840,967560,950[0,-540,-2000]2071.6
    7840,999476,978[0,-540,-1500]1594.2
    8840,1062316,1020[0,-540,-1000]1136.5
    Table 1. Actual distance and coordinates of the target
    No.Coordinate measurementresult /mmMeasuringdistance /mmActualdistance /mmError /mmErrorrate /%
    1[-252.81,-499.91,-4253.07]4289.814532.3242.495.35
    2[-111.24,-528.55,-1871.40]1947.784036.32084.5251.74
    3[-194.125,-511.78,-3265.80]3311.363541.4230.046.50
    4[-182.112,-514.21,-3063.71]3111.893048.263.698.64
    5[-151.99,-520.30,-2557.06]2613.882557.756.182.20
    6[-66.57,-537.59,-1119.89]1244.022071.6827.5839.94
    7[-78.92,-535.09,-1327.63]1453.581594.2140.6210.08
    8[-58.98,-539.12,-992.22]1130.761136.55.740.51
    Table 2. Data of measurement
    No.Coordinate measurementresult /mmMeasuringdistance /mmActualdistance /mmError /mmErrorrate /%
    1[-268.28,-523.94,-4513.39]4551.624532.319.320.43
    2[-244.29,-501.60,-4109.87]4147.574036.3111.272.76
    3[-212.33,-509.78,-3572.13]3614.573541.473.172.01
    4[-178.71,-513.37,-3006.45]3055.203048.27.000.23
    5[-149.78,-516.23,-2519.79]2576.482557.718.780.73
    6[-118.18,-516.18,-1988.22]2057.532071.614.070.68
    7[-89.11,-521.96,-1499.08]1589.901594.24.300.27
    8[-60.48,-509.82,-1017.45]1140.211136.53.710.33
    Table 3. Comparison of corrected target ranging
    No.Coordinate measurementresult /mmMeasuringdistance /mmActualdistance /mmError /mmErrorrate /%
    1[227.47,-495.67,-4532.36]4565.054532.332.750.72
    2[203.84,-510.46,-4061.47]4098.494036.362.191.54
    3[180.41,-530.01,-3594.63]3637.973541.496.572.73
    4[153.88,-535.47,-3066.01]3116.223048.268.022.23
    5[128.65,-531.36,-2563.38]2621.032557.763.332.48
    6[80.87,-549.62,-2057.45]2131.132071.659.532.87
    7[78.48,-562.33,-1563.66]1663.551594.269.354.35
    8[76.53,-585.08,-1063.72]1216.421136.579.927.03
    Table 4. Results of binocular stereoscopic ranging
    No.Coordinate measurementresult /mmMeasuringdistance /mmActualdistance /mmError /mmErrorrate /%
    1[226.23, -496.32,-4531.87]4564.584532.332.280.71
    2[203.62,-509.85 ,-4059.98]4096.934036.360.631.50
    3[160.01 ,-539.91 ,-3553.95]3598.293541.456.891.61
    4[143.47,-535.88 ,-3055.99]3105.933048.257.731.89
    5[128.45,-532.01,-2552.88]2610.892557.753.192.08
    6[80.81,-542.79,-2047.48]2119.752071.648.152.32
    7[72.78,-552.33,-1533.66]1631.711594.237.512.35
    8[67.53,-564.08,-1028.75]1175.191136.538.693.39
    Table 5. Results of measurement
    Chengtao Cai, Feng Wang. Fast Trajectory Measurement Algorithm for Linear Motion Based on Binocular Camera[J]. Laser & Optoelectronics Progress, 2019, 56(5): 051502
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