Author Affiliations
1Hubei Key Laboratory of Advanced Technology for Automotive Components, Wuhan University of Technology, Wuhan , Hubei 430070, China2Hubei Collaborative Innovation Center for Automotive Components Technology, Wuhan University of Technology, Wuhan , Hubei 430070, Chinashow less
Fig. 1. Basic parameters and basic principles of LiDAR. (a) Schematic diagram of laser emission; (b)basic parameters
Fig. 2. LiDAR installation schematic. (a) Front view; (b) side view
Fig. 3. Vehicle and LiDAR coordinate systems
Fig. 4. Cloud diagram of the vehicle turning to the right to the tunnel point
Fig. 5. Point cloud in the longitudinal reference direction of the tunnel. (a) Two-dimensional schematic diagram of point cloud; (b) three-dimensional schematic diagram of point cloud; (c) LiDAR point cloud with vertical field angle of 1°; (d) point cloud in the longitudinal reference direction of the tunnel
Fig. 6. Particle group algorithm flow diagram
Fig. 7. Top view of point cloud coordinate conversion of tunnel wall. (a) Original point cloud; (b) post-conversion point cloud; (c) comparison chart
Fig. 8. Tunnel cross-section point cloud
Fig. 9. Fitting effect diagrams. (a) Particle swarm optimization algorithm; (b) least squares method (circle); (c) least squares method (ellipse)
Fig. 10. LiDAR installation diagram. (a) Front view; (b) side view
Fig. 11. Point cloud of cross section of tunnel
Fig. 12. Test results. (a) Original point cloud; (b) converted point cloud; (c) center point of tunnel cross section; (d) fitting result of tunnel centerline
Real value | | Fitting value |
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| PSO algorithm ( t = 87 ms·frame-1;f= 12.3 Hz) | | Least-square method (circle;t= 112 ms·frame-1;f= 8.9 Hz) | | Least-square method (ellipse; t= 136 ms·frame-1; f= 7.4 Hz) |
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Raduis /m | Δy /mm | Raduis /m | Δy /mm | | Raduis /m | Δy /mm | | Eccentricity | Δy /mm | 6.700 | -50 | | 6.680 | -36 | | 6.679 | -35 | | 0.163 | -31 | 6.700 | 100 | | 6.673 | 106 | | 6.672 | 106 | | 0.159 | 87 | 6.700 | 150 | | 6.671 | 136 | | 6.671 | 137 | | 0.170 | 101 |
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Table 1.
Comparison of detection deviation and actual value of each algorithm Section number | Measured tunnel section data | Difference of center /mm | Mean difference /mm |
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Position of the two sections | Section radius /m |
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1 | X=0.1 m,X=0.2 m | 6.679896 | 9 | 8 | 6.686858 | 7 | 6.675864 | 9 | 2 | X=0.2 m,X=0.3 m | 6.676285 | 12 | 11 | 6.678502 | 11 | 6.683521 | 11 | 3 | X=0.3 m,X=0.4 m | 6.681254 | 10 | 12 | 6.675529 | 13 | 6.680145 | 12 | 4 | X=0.4 m,X=0.5 m | 6.670158 | 9 | 11 | 6.677874 | 13 | 6.675987 | 12 | 5 | X=5.6 m,X=5.8 m | 6.680132 | 15 | 15 | 6.677895 | 14 | 6.678529 | 17 | 6 | X=6.4 m,X=6.7 m | 6.671514 | 19 | 20 | 6.679104 | 22 | 6.669098 | 19 | 7 | X=7.4 m,X=7.7 m | 6.682056 | 24 | 26 | 6.670025 | 28 | 6.671506 | 25 | 8 | X=8.4 m,X=8.7 m | 6.669014 | 18 | 23 | 6.670289 | 23 | 6.665814 | 26 | 9 | X=9.4 m,X=9.7 m | 6.678513 | 26 | 29 | 6.671485 | 29 | 6.676582 | 31 | 10 | X=10.4 m,X=10.7 m | 6.662677 | 29 | 30 | 6.670905 | 27 | 6.668549 | 33 |
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Table 2.
Difference between measured tunnel center and design center