• Acta Optica Sinica
  • Vol. 40, Issue 4, 0412003 (2020)
Peng Wang*, Yingjie Zhang, Changku Sun, and Duo Zhou
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/AOS202040.0412003 Cite this Article Set citation alerts
    Peng Wang, Yingjie Zhang, Changku Sun, Duo Zhou. Multi-Camera Three-Dimensional Measurement System Using an Image Stitching Method Based on Flexible Calibration Target Positioning[J]. Acta Optica Sinica, 2020, 40(4): 0412003 Copy Citation Text show less
    Experimental setup for multi-camera three-dimensional shape measuring system using digital fringe projection techniques
    Fig. 1. Experimental setup for multi-camera three-dimensional shape measuring system using digital fringe projection techniques
    Directional circular pattern for planar calibration target
    Fig. 2. Directional circular pattern for planar calibration target
    (a)-(d) Images of the flexible calibration target grabbed by different cameras. (a) Camera 1; (b) camera 2; (c) camera 3; (d) camera 4. (e)-(h) Images grabbed by camera 1 of the flexible calibration target with different shapes. (e) Shape 1; (f) shape 2; (g) shape 3; (h) shape 4
    Fig. 3. (a)-(d) Images of the flexible calibration target grabbed by different cameras. (a) Camera 1; (b) camera 2; (c) camera 3; (d) camera 4. (e)-(h) Images grabbed by camera 1 of the flexible calibration target with different shapes. (e) Shape 1; (f) shape 2; (g) shape 3; (h) shape 4
    Calibration error diagram from camera 2 to camera 1 in quaternary quadratic model
    Fig. 4. Calibration error diagram from camera 2 to camera 1 in quaternary quadratic model
    Measurement results of 4 different polynomial models. (a) Ternary quadratic model; (b) ternary cubic model; (c) quaternary quadratic model; (d) quaternary cubic model
    Fig. 5. Measurement results of 4 different polynomial models. (a) Ternary quadratic model; (b) ternary cubic model; (c) quaternary quadratic model; (d) quaternary cubic model
    Measurement results of different FOV overlapping. (a) 1/2; (b)1/3; (c) 1/4; (d) 1/6
    Fig. 6. Measurement results of different FOV overlapping. (a) 1/2; (b)1/3; (c) 1/4; (d) 1/6
    Image of multiple objects to be measured
    Fig. 7. Image of multiple objects to be measured
    3D reconstruction images. (a) Camera 1; (b) camera 2; (c) camera 3; (d) camera 4; (e) merged image
    Fig. 8. 3D reconstruction images. (a) Camera 1; (b) camera 2; (c) camera 3; (d) camera 4; (e) merged image
    Step standard block and its size
    Fig. 9. Step standard block and its size
    3D reconstruction image of the step standard block by camera 2 using (a) method 1 and (b) method 2
    Fig. 10. 3D reconstruction image of the step standard block by camera 2 using (a) method 1 and (b) method 2
    Standard ball
    Fig. 11. Standard ball
    Fitted spheres based on the spherical crown point cloud
    Fig. 12. Fitted spheres based on the spherical crown point cloud
    Camera No.Position No.Step 2 distance /mmStep 3 distance /mm
    Method 1Method 2Method 1Method 2
    15.7085.92912.42112.607
    225.6425.56712.53312.428
    35.7235.50112.63512.781
    15.8965.86813.22612.998
    325.7425.57812.49512.977
    35.6365.74512.71812.589
    15.9806.25213.15013.477
    425.7475.83312.57312.513
    36.2716.37913.05913.584
    Table 1. Measurement results of the step standard block
    Nominal value /mmCenter distance /mmAverage /mmRMSE /mm
    400.0401.42398.84399.11400.57399.66400.370.98
    401.16400.71401.73400.41400.13
    600.0599.86600.81599.35600.96598.93599.750.87
    598.82600.70598.86600.33598.92
    721.1722.16721.27720.63722.86721.21721.530.92
    720.13722.39721.82721.98720.90
    Table 2. Measurement results of the sphere center distance
    Peng Wang, Yingjie Zhang, Changku Sun, Duo Zhou. Multi-Camera Three-Dimensional Measurement System Using an Image Stitching Method Based on Flexible Calibration Target Positioning[J]. Acta Optica Sinica, 2020, 40(4): 0412003
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