Fig. 1. Schematic diagram of the new laser scanning projection system
Fig. 2. The particle swarm algorithm solves the flow chart of the coordinate conversion relationship between the monocular camera and the projected object
Fig. 3. Errors of the translation matrix when the monocular camera rotates at different angles
Fig. 4. The error of the rotation matrix of the monocular camera rotating at different angles
Fig. 5. Angular error within the range of 1.5~3 meters offset
Fig. 6. Error graph of translation matrix of monocular camera at different distances
Fig. 7. Error of rotation matrix of monocular camera at different distances
Fig. 8. New laser scanning projection experiment system
Precision | R | T |
---|
4.534 561 100 2×10-5 | 0.408 383 0.3807 02 -0.829 631 | -0.816 704 -0.253 54 -0.518 369 | -0.407 697 0.889 256 0.207 376 | -1 491.742 914 -1 491.474 369 -1 841.039 585 | 4.693 004 083 4×10-5 | 0.407 792 0.381 775 -0.829 429 | -0.816 523 -0.254 076 -0.518 39 | -0.408 649 0.888 646 0.208 117 | -1 490.942 924 -1 492.320 221 -1 841.664 945 | 4.185 484 991 9×10-5 | 0.4082 74 0.381 003 -0.829 546 | -0.816 306 -0.254 376 -0.518 591 | -0.408 602 0.888 892 0.207 160 | -1 491.368 014 -1 494.469 798 -1 840.628 105 | 4.343 792 082 2×10-5 | 0.408 060 0.3812 97 -0.829 516 | -0.816 640 -0.253 756 -0.518 368 | -0.408 148 0.888 942 0.207 835 | -1 491.825 969 -1 491.981 940 -1 841.223 313 |
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Table 1. Part of the experimental data
Angle | 40° | 45° | 50° | 55° | 60° | 65° | 70° | 75° |
---|
Error | 2.323 8 | 2.070 5 | 2.144 7 | 1.319 3 | 2.411 0 | 1.400 0 | 0.762 3 | 1.050 4 |
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Table 2. Errors of the translation matrix when the monocular camera rotates at different angles
Angle | 40° | 45° | 50° | 55° | 60° | 65° | 70° | 75° |
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Error | 0.045 0 | 0.026 4 | 0.026 0 | 0.032 7 | 0.087 4 | 0.018 6 | 0.030 7 | 0.058 6 |
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Table 3. Errors of the rotation matrix of the monocular camera at different angles
Distance/m | 1.5 | 1.8 | 2 | 2.3 | 2.5 | 2.8 | 3 | 3.3 | 3.5 | 3.8 | 4 |
---|
Error | 0.197 7 | 0.108 8 | 1.102 4 | 1.251 2 | 0.369 1 | 1.319 3 | 0.587 6 | 1.108 3 | 2.789 3 | 1.833 8 | 4.338 9 |
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Table 4. Error of translation matrix of monocular camera at different distances
Distance/m | 1.5 | 1.8 | 2 | 2.3 | 2.5 | 2.8 | 3 | 3.3 | 3.5 | 3.8 | 4 |
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Error | 0.003 9 | 0.003 7 | 0.050 7 | 0.032 2 | 0.027 2 | 0.032 7 | 0.116 3 | 0.053 4 | 0.043 4 | 0.075 8 | 0.101 9 |
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Table 5. Rotation matrix errors of monocular cameras at different distances
Distance/m | 1.5 | 1.8 | 2 | 2.3 | 2.5 | 2.8 | 3 | 3.3 | 3.5 | 3.8 | 4 |
---|
Angle/(°) | 65 | 65 | 60 | 60 | 55 | 55 | 55 | 55 | 50 | 50 | 50 |
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Table 6. The relationship between the moving distance of the monocular camera and the optimal rotation angle
| Matrix | Laser scanning projection system | New laser scanning projection system |
---|
| R | 0.408 248 0.381 000 -0.829 56 | -0.816 496 -0.254 000 -0.518 475 | -0.408 248 0.889 001 0.207 390 | 0.408 264 0.381 032 -0.829 538 | -0.816 455 -0.254 047 -0.518 517 | -0.408 314 0.888 973 0.207 377 | | T | -551.135 19 | -1 200.151 20 | -1 244.342 03 | -552.742 93 | -1 199.474 37 | -1 245.039 57 |
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Table 7. Experimental data of laser scanning projection system and new laser scanning projection system