• Acta Optica Sinica
  • Vol. 38, Issue 3, 315001 (2018)
Xie Zexiao and Zhang Anqi*
Author Affiliations
  • [in Chinese]
  • show less
    DOI: 10.3788/AOS201838.0315001 Cite this Article Set citation alerts
    Xie Zexiao, Zhang Anqi. Simultaneous Calibration of the Intrinsic and Extrinsic Parameters of Ultra-Large-Scale Line Structured-Light Sensor[J]. Acta Optica Sinica, 2018, 38(3): 315001 Copy Citation Text show less
    Ultra-large scale line structured-light sensor 3D measurement system. (a) Real products; (b) structural representation
    Fig. 1. Ultra-large scale line structured-light sensor 3D measurement system. (a) Real products; (b) structural representation
    Intrinsic parameters model of line structured-light
    Fig. 2. Intrinsic parameters model of line structured-light
    Quasi-one-dimensional target
    Fig. 3. Quasi-one-dimensional target
    Calibration process
    Fig. 4. Calibration process
    Solving model of a4
    Fig. 5. Solving model of a4
    Calibrating extrinsic parameters of line structured-light
    Fig. 6. Calibrating extrinsic parameters of line structured-light
    Target image of camera calibration
    Fig. 7. Target image of camera calibration
    Fitting error result of circulararc of multi positions
    Fig. 8. Fitting error result of circulararc of multi positions
    Three standard balls
    Fig. 9. Three standard balls
    Scanning experiment of multi positions
    Fig. 10. Scanning experiment of multi positions
    Three standard balls. (a) Scatter points; (b) fitting result of single ball
    Fig. 11. Three standard balls. (a) Scatter points; (b) fitting result of single ball
    Scanning error results of standard balls. (a) Errors between the fitted and standard radius; (b) maximum error of positive and negative phase; (c) errors between standard spherical centers’ and measured distance
    Fig. 12. Scanning error results of standard balls. (a) Errors between the fitted and standard radius; (b) maximum error of positive and negative phase; (c) errors between standard spherical centers’ and measured distance
    Comparison of the spherical centers’ distance errors between method 1 and 2
    Fig. 13. Comparison of the spherical centers’ distance errors between method 1 and 2
    No.R /mmD /mmRelative error /%Center coordinate /mm
    130.16570.15620.517807(63.6371,90.5501,1378.8962)
    230.04960.14810.492852(75.7314,-79.1138,1099.9306)
    329.89050.12590.421204(-176.8592,-107.6003,1056.3259)
    429.79130.18750.629378(31.6694,65.5633,-1124.8716)
    529.67420.16720.563452(31.0807,9.4334,-1215.8757)
    629.52960.18720.633940(113.8268,75.2721,-1110.0918)
    729.11180.15910.546514(137.1649,-86.5504,1087.2389)
    828.98640.15750.543358(-72.3052,-7.6233,1217.3944)
    928.90300.14190.490952(-53.3073,-48.7075,-1309.1590)
    1028.72480.14850.516975(256.5610,-2.2245,-1237.4199)
    1128.69630.14040.489262(-195.9803,32.6438,-1175.5815)
    1228.38400.12550.442151(-33.5220,-27.4495,1184.8420)
    1328.29640.18010.636477(-31.5336,-45.9962,1154.7424)
    1426.38390.14550.551473(174.6202,-12.2716,-1252.7506)
    1526.22100.17090.651768(-196.0525,32.5104,-1175.7969)
    Max-0.18750.651768-
    Table 1. Fitting result of circulararc of multi positions
    No.Ball named1 /mmd2 /mmd3 /mmCenter distance named4 /mm
    1A30.3042-0.25920.2447AB152.2060
    B30.2496-0.22560.2591AC220.6504
    C30.1968-0.24140.2369BC221.8256
    2A30.2013-0.24930.2224AB152.2879
    B30.0540-0.23630.2196AC220.5852
    C30.1448-0.25950.2408BC221.8299
    3A30.2224-0.23780.2849AB152.2185
    B30.0755-0.24670.2738AC220.6547
    C30.1689-0.22300.2048BC221.8093
    4A30.1524-0.22370.2771AB152.2767
    B30.1429-0.26770.2562AC220.6646
    C30.1268-0.24920.2419BC221.8034
    5A30.1930-0.26110.2613AB152.2180
    B30.1529-0.20130.2229AC220.6431
    C30.1287-0.23150.2457BC221.8063
    Table 2. Multi-position fitting result of three standard balls
    Measurement numberdAB /mmdAC /mmdBC /mm
    1152.2740220.6260221.8902
    2152.3220220.7032221.8552
    3152.2692220.7063221.7872
    4152.2431220.6708221.7816
    5152.2548220.6276221.8423
    Table 3. Measured results of the spherical centers’ distance of step calibration
    Xie Zexiao, Zhang Anqi. Simultaneous Calibration of the Intrinsic and Extrinsic Parameters of Ultra-Large-Scale Line Structured-Light Sensor[J]. Acta Optica Sinica, 2018, 38(3): 315001
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