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    Journals >Laser & Optoelectronics Progress >Volume 57 >Issue 2 >Page 21504 > Article
    • Laser & Optoelectronics Progress
    • Vol. 57, Issue 2, 21504 (2020)
    A New Algorithm for Single Image Space Based Resection
    Chen Jihua*, Sun Rongxu, and Zhang Bin
    Author Affiliations
  • School of Physical Engineering, Zhengzhou University, Zhengzhou, Henan 450001, China
    • show less
    DOI: 10.3788/LOP57.021504 Cite this Article Set citation alerts
    Chen Jihua, Sun Rongxu, Zhang Bin. A New Algorithm for Single Image Space Based Resection[J]. Laser & Optoelectronics Progress, 2020, 57(2): 21504 Copy Citation Text show less
    Schematic of three-point resection principle
    Fig. 1. Schematic of three-point resection principle
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    Distribution of the control field points in picture 1
    Fig. 2. Distribution of the control field points in picture 1
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    PicturePoint(X,Y,Z) /mm(x,y) /mmRotation angle /(°)External parameter /mm
    1T104(1670.895,-409.056,-3430.976)(-3.0933,6.7968)RX=3.2707XS=595.3770
    T92(1476.960,-429.497,-3472.916)(-3.0017,5.5785)
    T108(1531.414,-1572.302,-3129.078)(4.2927,6.1865)RY=148.9017YS=853.9520
    T59(905.211,-687.339,-3540.126)(-1.4984,2.0549)RZ=174.8506ZS=-4015.7280
    T22(318.084,-562.148,-3722.013)(-2.3782.-1.5668)
    2T218(1029.608,859.527,-3956.419)(6.1794,5.1611)RX=176.6173XS=473.1250
    T180(1628.232,541.346,-3717.694)(10.3908,3.4198)RY=59.0670YS=867.6090
    T50(877.690,-114.723,-3711.865)(5.6319,-0.7990)
    T110(1848.411,-7.630,-3502.972)(12.4942,-0.1053)RZ=20.5861ZS=-3703.3520
    3T71(1339.4444,19.6515,-3229.0245)(10.1810,0.1491)RX=37.5930XS=1802.0107
    T18(-106.9948,1151.5441,-3118.2956)(-0.8424,9.0631)RY=2.0048YS=-355.9519
    T148(60.8357,-1337.2001,-3811.6095)(0.3919,-8.6104)RZ=-38.0667ZS=-3144.2854
    Table 1. Three-dimensional coordinates, point coordinates of 2D image, and the external parameters of camera
    PicturePointProposed algorithmPyramid algorithm
    Rotation angle /(°)External parameter /mmRotation angle /(°)External parameter /mm
    1T104T22T108T104T92T108T104T59T22RX=-3.2706RY=148.9007RZ= 174.8491RX=-3.2710RY=148.9011RZ= 174.8501RX=-3.2715RY=148.9013RZ= 174.8533XS=595.371YS=853.956ZS=-4015.724XS=595.300YS=853.984ZS=-4015.756XS=595.319YS=853.965ZS=-4015.634RX=-3.2711RY=149.1014RZ=175.8730RX=-3.2723RY=148.9037RZ= 174.8634RX=-3.2731RY=148.9041RZ= 174.8442XS=595.388YS=853.973ZS=-4015.731XS=595.382YS=853.967ZS=-4015.774XS=595.371YS=853.984ZS=-4015.752
    Table 2. Results calculated by proposed algorithm and pyramid algorithm
    PicturePointProposed algorithmDLT algorithm
    Rotation angle /(°)External parameter /mmRotation angle /(°)External parameter /mm
    2T218T180T50T218T180T110RX=176.6150RY=59.0650RZ=20.5861RX=176.6230RY=59.0665RZ=20.5862XS=473.081YS=867.981ZS=-3703.194XS=473.104YS=867.351ZS=-3703.412RX=176.6167RY=59.0670RZ=20.5865RX=176.6177RY=59.0681RZ=20.5833XS=473.107YS=867.631ZS=-3703.357XS=473.115YS=867.634ZS=-3703.323
    Table 3. Results calculated by proposed algorithm and DLT algorithm
    No.PointExternal parameter (XS,YS,ZS) /mm
    1T71,T18,T148(1802.0109,-355.9513,-3144.2852)
    2T18,T148,T71(1802.0122,-355.9536,-3144.2883)
    3T71,T18,T148(1802.0098,-355.9502,-3144.2821)
    Table 4. Calculation results in three coordinate systems
    No.Initial valueResult
    1(1,0,0)(0.6117,0.7334,-0.2966)
    2(-0.577,-0.577,0.577)(-0.6117,-0.7334,0.2966)
    3(-0.6,-0.7,0.38)(-0.6117,-0.7334,0.2966)
    Table 5. Results of solving the quadratic equations
    Abstract
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    Chen Jihua, Sun Rongxu, Zhang Bin. A New Algorithm for Single Image Space Based Resection[J]. Laser & Optoelectronics Progress, 2020, 57(2): 21504
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    Paper Information
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