• Laser & Optoelectronics Progress
  • Vol. 59, Issue 10, 1015001 (2022)
Cen Hua1, Xiao Fu1、*, Fajie Duan1, Cong Zhang1, Ming Yan2, and Rui Du1
Author Affiliations
  • 1State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
  • 2Tianjin Electronic Information College, Tianjin 300072, China
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    DOI: 10.3788/LOP202259.1015001 Cite this Article Set citation alerts
    Cen Hua, Xiao Fu, Fajie Duan, Cong Zhang, Ming Yan, Rui Du. Coordinate Matching of Multiple Points Based on Constant Cross Ratio[J]. Laser & Optoelectronics Progress, 2022, 59(10): 1015001 Copy Citation Text show less
    Schematic of optical path imaging of the proposed system
    Fig. 1. Schematic of optical path imaging of the proposed system
    Equivalent imaging diagrams. (a) Equivalent imaging diagram of single point; (b) equivalent imaging diagram of multiple points
    Fig. 2. Equivalent imaging diagrams. (a) Equivalent imaging diagram of single point; (b) equivalent imaging diagram of multiple points
    Principle of cross-ratio invariability.(a) Projective transformation among point range; (b) projective transformation among wiring harness
    Fig. 3. Principle of cross-ratio invariability.(a) Projective transformation among point range; (b) projective transformation among wiring harness
    Cooperative target design. (a) Coplanar five points; (b) coplanar multiple points
    Fig. 4. Cooperative target design. (a) Coplanar five points; (b) coplanar multiple points
    Flowchart of coordinate matching algorithm based cross ratio invariability
    Fig. 5. Flowchart of coordinate matching algorithm based cross ratio invariability
    Overlapping of collinear points' coordinates
    Fig. 6. Overlapping of collinear points' coordinates
    n possible cases of coordinate overlapping
    Fig. 7. n possible cases of coordinate overlapping
    Matching flow chart
    Fig. 8. Matching flow chart
    Overlap ratio along two directions. (a) u direction; (b) v direction
    Fig. 9. Overlap ratio along two directions. (a) u direction; (b) v direction
    Matching accuracy under overlap situation
    Fig. 10. Matching accuracy under overlap situation
    Pose esitmation error when motion speed changes. (a) Mean rotation error; (b) mean translation error
    Fig. 11. Pose esitmation error when motion speed changes. (a) Mean rotation error; (b) mean translation error
    Number of pointsTime of coordinate matching based on cross-ratio invariability /ms

    method /ms

    Time of circular lighting

    41.7516
    121.8548
    202.0580
    282.28112
    362.64144
    442.63176
    522.84208
    603.08240
    Table 1. Matching time comparison
    Cen Hua, Xiao Fu, Fajie Duan, Cong Zhang, Ming Yan, Rui Du. Coordinate Matching of Multiple Points Based on Constant Cross Ratio[J]. Laser & Optoelectronics Progress, 2022, 59(10): 1015001
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