Journals Articles Conferences News About CLP
Submit a paper Email Alert
Search
Search
Articles
Journals
News
Advanced Search
Top Searches
2D MaterialsTransformation opticsQuantum PhotonicsSmall lasersSemiconductor UV PhotonicsSupersymmetric microring laser arrays

Acta Optica Sinica, Volume. 44, Issue 2, 0212005(2024)

Linear Model of Inverse Kinematics for Non-Orthogonal Shafting Laser Theodolite

Zefeng Sun, Jiehu Kang*, Jian Liang, Zhen Zhang, Luyuan Feng, and Bin Wu**
Author Affiliations
  • State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, China
    • show less
    AbstractGet PDF(in Chinese)
    Figures&Tables (14)
    Equations (0)
    References (24)
    Tools
    Paper Information
    Topics
    Figures & Tables(14)
    Structure of the non-orthogonal shafting laser theodolite

    Fig. 1. Structure of the non-orthogonal shafting laser theodolite

    Download full size
    Principle of the non-orthogonal shafting laser theodolite

    Fig. 2. Principle of the non-orthogonal shafting laser theodolite

    Download full size
    Initial estimate of the rotation angle

    Fig. 3. Initial estimate of the rotation angle

    Download full size
    Simulation environment

    Fig. 4. Simulation environment

    Download full size
    Simulation of the measured target points

    Fig. 5. Simulation of the measured target points

    Download full size
    Calculation process

    Fig. 6. Calculation process

    Download full size
    Simulation results of the rotation angle error

    Fig. 7. Simulation results of the rotation angle error

    Download full size
    Non-orthogonal shafting theodolite prototype

    Fig. 8. Non-orthogonal shafting theodolite prototype

    Download full size
    Experimental site

    Fig. 9. Experimental site

    Download full size
    Aiming deviation

    Fig. 10. Aiming deviation

    Download full size
    Experimental results of the rotation angle error

    Fig. 11. Experimental results of the rotation angle error

    Download full size

    • Table 1. Shafting parameters

      View table

      Table 1. Shafting parameters

      ShaftingVectorPoint coordinate /mm
      Vertical rotation axis（0，1，0）（0，0.081，0）
      Horizontal rotation axis（0.999999，0，-0.000328）（0，0，0）
      Laser axis（0.004097，0.999991，0.000549）（-0.511，0，-19.473）

    • Table 2. Simulation results of the rotation angles

      View table

      Table 2. Simulation results of the rotation angles

      Simulation resultθ1θ2
      Mean error /mrad1.68×10-118.18×10-15
      RMSE（root mean square error）/mrad5.95×10-113.32×10-11

    • Table 3. Calculation results of the rotation angles

      View table

      Table 3. Calculation results of the rotation angles

      Simulation resultθ1θ2
      Mean error /mrad0.0190.013
      RMSE /mrad0.0210.016
    Tools

    Get Citation

    Copy Citation Text

    Zefeng Sun, Jiehu Kang, Jian Liang, Zhen Zhang, Luyuan Feng, Bin Wu. Linear Model of Inverse Kinematics for Non-Orthogonal Shafting Laser Theodolite[J]. Acta Optica Sinica, 2024, 44(2): 0212005

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Set citation alerts for article
    Save article for my favorites
    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Sep. 22, 2023

    Accepted: Nov. 8, 2023

    Published Online: Jan. 11, 2024

    The Author Email: Kang Jiehu (zhongdian313@163.com), Wu Bin (wubin@tju.edu.cn)

    DOI:10.3788/AOS231596

    CSTR:32393.14.AOS231596

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology