• Acta Optica Sinica
  • Vol. 39, Issue 12, 1228006 (2019)
Shuangwu Chai* and Xiaoqin Yang**
Author Affiliations
  • College of Mining Engineering, Taiyuan University of Technology, Taiyuan, Shanxi 030024, China
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    DOI: 10.3788/AOS201939.1228006 Cite this Article Set citation alerts
    Shuangwu Chai, Xiaoqin Yang. Line Primitive Point Cloud Registration Method Based on Dual Quaternion[J]. Acta Optica Sinica, 2019, 39(12): 1228006 Copy Citation Text show less
    Diagram of point cloud registration
    Fig. 1. Diagram of point cloud registration
    Simplified diagram of point cloud registration
    Fig. 2. Simplified diagram of point cloud registration
    Flowchart of point cloud registration algorithm
    Fig. 3. Flowchart of point cloud registration algorithm
    Point cloud data. (a) Unregistrated station; (b) reference station
    Fig. 4. Point cloud data. (a) Unregistrated station; (b) reference station
    Spatial distributions of homonymous lines. (a) Before registration; (b) after registration
    Fig. 5. Spatial distributions of homonymous lines. (a) Before registration; (b) after registration
    Visual effects of proposed method. (a) Before registration; (b) after registration
    Fig. 6. Visual effects of proposed method. (a) Before registration; (b) after registration
    Visual effects after registration. (a) Method in Ref. [12]; (b) method in Ref. [16]
    Fig. 7. Visual effects after registration. (a) Method in Ref. [12]; (b) method in Ref. [16]
    MethodProposed methodMethod in Ref. [12]Method in Ref. [16]
    λ1.00090.99991.0005
    φ /(°)-10.4772-10.4494-10.4562
    ω /(°)-7.0829-7.0653-7.0710
    κ /(°)28.896928.892028.8998
    X0 /m-22.9648-22.9776-22.9683
    Y0 /m29.420429.406029.4138
    Z0 /m-2.3315-2.2842-2.2975
    Time /s0.12500.14600.1840
    Table 1. Comparison of results and time consumption of different methods
    MethodΔlXΔlYΔlZMean squareerror mΔl /mΔsXΔsYΔsZMean squareerror mΔs /m
    -0.0007-0.00070.00020.0064-0.0126-0.0077
    0.00000.0000-0.0007-0.0100-0.03370.0071
    -0.00050.00010.0000-0.0086-0.00910.0028
    Proposed method0.00010.0001-0.00010.0005-0.0056-0.006-0.00870.0247
    0.00000.00000.00040.00690.0183-0.0002
    -0.0001-0.00030.0000-0.0054-0.01490.0204
    -0.0003-0.00030.00070.02550.03820.0221
    0.00060.00050.0000-0.01420.012-0.0097
    -0.00010.00010.0000-0.00180.0007-0.0102
    0.0000-0.00040.00000.0139-0.00040.0195
    Method in Ref. [12]-0.0002-0.00020.00020.00050.01360.01410.02030.0254
    0.0000-0.0001-0.0002-0.0009-0.01290.0136
    -0.00050.00000.00000.0000-0.01000.0129
    0.00010.0001-0.0005-0.0177-0.0302-0.0105
    0.00070.0007-0.0001-0.01540.0099-0.0288
    0.00000.00000.00030.00020.0172-0.0140
    0.0002-0.00030.00000.0169-0.01110.0120
    Method in Ref. [16]-0.0001-0.00010.00020.00050.00670.0092-0.00050.0314
    0.00000.0000-0.0002-0.0080-0.0174-0.0078
    -0.00030.00010.00000.0019-0.01820.0016
    0.00020.0002-0.0006-0.0245-0.0351-0.0313
    Table 2. Comparison of medium errors of unit vector and moment vector deviations of homonymous lines calculated by different methods after registration
    Shuangwu Chai, Xiaoqin Yang. Line Primitive Point Cloud Registration Method Based on Dual Quaternion[J]. Acta Optica Sinica, 2019, 39(12): 1228006
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