Fig. 1. Mathematical model of line structured light 3-D vision measurement
Fig. 2. Schematic diagram of rotating scan center axis calibration
Fig. 3. Algorithm flow chart of extracting laser stripe centerline in this paper
Fig. 4. Laser stripe centerline extraction algorithm in this paper. (a1), (a2) Gray-scale image of laser stripe on the welding seam of a metal hub; (b1), (b2) Preliminary gray centroid method to extract the centerline of laser stripe; (c1), (c2) Frame selection of missing segments; (d1), (d2) Adaptive gray-scale enhancement to repair missing segments; (e1), (e2) Gray centroid method to completely extract the centerline of laser stripe
Fig. 5. 3-D vision measurement scheme in this paper
Fig. 6. 3-D vision measurement steps based on line structured light rotation scanning
Fig. 7. (a) Physical drawing of measured metal hub; (b) Experimental diagram
Fig. 8. 3-D contour reconstruction renderings of the wheel hub
Fig. 9. Repeated measurement results of the maximum radius of the outer contour of the hub
Fig. 10. Repeatability error of the maximum radius of the outer contour of the hub
Parameter name | Calibration results | Camera internal parameters
| $ \left[ {\begin{array}{*{20}{c}} {{\text{3\;553}}{\text{.406\;333}}}&{\text{0}}&{{\text{1\;251}}{\text{.233\;369}}} \\ {\text{0}}&{{\text{3\;556}}{\text{.068\;465}}}&{{\text{1\;020}}{\text{.443\;882}}} \\ {\text{0}}&{\text{0}}&{\text{1}} \end{array}} \right] $ | Distortion coefficient | [0.107 913 1.088 657 0.000 477 0.000 105 −7.125 999] | Optical plane equation | $ - {\text{0}}{\text{.053\;813\;3}}{x_c} + {\text{0}}{\text{.829\;647}}{y_c} + {\text{0}}{\text{.555\;689}}{z_c} - 93.540\;8 = 0 $ | Rotation axis equation | $\dfrac{{{x_c} - {\text{4}}{\text{.388\;52}}}}{{{\text{0}}{\text{.998\;333}}}} = \dfrac{{{y_c} + {\text{56}}{\text{.862\;8}}}}{{{\text{ 0}}{\text{.0289\;22}}}} = \dfrac{{{z_c} - {\text{263}}{\text{.342}}}}{{{\text{0}}{\text{.0499\;468}}}}$ |
|
Table 1. Vision module calibration parameters
Test groups | Adiameter/mm
| Bdiameter/mm
| Sphere center distance between
A&B/mm
| 1 | 25.471 2 | 25.475 8 | 100.046 2 | 2 | 25.459 2 | 25.473 0 | 100.051 7 | 3 | 25.444 8 | 25.475 8 | 100.083 0 | 4 | 25.459 2 | 25.475 4 | 100.073 5 | 5 | 25.440 8 | 25.481 8 | 100.039 2 | 6 | 25.446 8 | 25.342 8 | 100.021 3 | 7 | 25.379 2 | 25.467 2 | 100.076 2 | 8 | 25.386 1 | 25.458 7 | 100.062 3 | 9 | 25.462 5 | 25.461 7 | 100.057 6 | 10 | 25.458 0 | 25.358 2 | 100.044 5 | Standard value | 25.411 0 | 25.413 6 | 100.001 1 | Maximum deviation | 0.060 2 | 0.068 2 | 0.081 9 | Standard deviation | 0.042 5 | 0.058 9 | 0.057 9 |
|
Table 2. Standard bat measurement results