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Acta Optica Sinica, Volume. 43, Issue 13, 1315001(2023)

Estimation Method of Lens Distortion Parameters Based on Two Lines

Ping Wang1,2,4、*, Dengyin Yao1, Rui Qiao3, Tao Zhang4, and Pengpeng Yao5
Author Affiliations
  • 1College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, Gansu, China
  • 2Key Laboratory of Gansu Advanced Control for Industrial Processes, Lanzhou 730050, Gansu, China
  • 3College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, Jiangsu, China
  • 4Suzhou Focus Technology Co., Ltd., Suzhou 215000, Jiangsu, China
  • 5Zhuhai Fudan Innovation Institute, Zhuhai 519031, Guangdong, China
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    References (18)
    Cited By (3)
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    Figures & Tables(10)
    Distribution curve of undistorted points. (a) Along xu direction; (b) along yu direction

    Fig. 1. Distribution curve of undistorted points. (a) Along xu direction; (b) along yu direction

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    Source image

    Fig. 2. Source image

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    Distorted images and corrected images. (a)-(c) Pincushion distorted images and corrected images; (d)-(f) barrel ditorted images and corrected images

    Fig. 3. Distorted images and corrected images. (a)-(c) Pincushion distorted images and corrected images; (d)-(f) barrel ditorted images and corrected images

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    Choice of two lines with two kinds of constraint rules. (a)-(e) Corresponding edge of two lines should be as close to center of image as possible; (f)-(j) corresponding edge of two lines should be as far away from center of image as possible

    Fig. 4. Choice of two lines with two kinds of constraint rules. (a)-(e) Corresponding edge of two lines should be as close to center of image as possible; (f)-(j) corresponding edge of two lines should be as far away from center of image as possible

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    Average estimation errors when different edges are selected. (a) Mean absolute error; (b) mean relative error

    Fig. 5. Average estimation errors when different edges are selected. (a) Mean absolute error; (b) mean relative error

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    Average errors when noise level varies. (a) Errors of principal point; (b) errors of radial distortion

    Fig. 6. Average errors when noise level varies. (a) Errors of principal point; (b) errors of radial distortion

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    Correction of real distorted images. (a)-(e) Different scene images

    Fig. 7. Correction of real distorted images. (a)-(e) Different scene images

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    • Table 1. Estimated results of distortion parameters

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      Table 1. Estimated results of distortion parameters

      SequenceSelected edgesReal parameterProposed methodBukhari et al［16］
      （Cx，Cy）λ（Cx'，Cy'）λ'（Cx'，Cy'）λ'
      （a）R1，R4（320，240）3×10-6（319.99，240.05）2.99×10-6（320.49，240.05）2.99×10-6
      （b）R5，C5（310，230）1×10-6（310.11，229.91）1.01×10-6（312.22，229.91）1.01×10-6
      （c）R1，C1（300，220）6×10-7（300.06，220.75）6.03×10-7（307.49，220.75）6.03×10-7
      （d）R1，R5（330，250）-3×10-6（330.01，249.98）-2.99×10-6（330.05，249.98）-2.99×10-6
      （e）R2，R5（340，260）-1×10-6（339.75，259.56）-1.01×10-6（339.78，259.56）-1.01×10-6
      （f）R1，C2（350，270）-6×10-7（349.64，268.85）-6.08×10-7（353.56，268.85）-6.08×10-7

    • Table 2. Estimated errors of distortion parameters

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      Table 2. Estimated errors of distortion parameters

      Sequence（a）（b）（c）（d）（e）（f）
      Proposed methodDis /pixel0.050.140.750.010.281.19
      Rel /%0.100.120.590.040.491.34
      Bukhari et al［16］Dis /pixel0.502.117.430.040.503.92
      Rel /%0.100.120.590.040.491.34

    • Table 3. Estimated results of real distorted images

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      Table 3. Estimated results of real distorted images

      SequenceImage sizeDistortion centerDistortion parameter
      （a）256×256（Cx，Cy）=（130.92，131.59）λ=-1.6814×10-5
      （b）720×480（Cx，Cy）=（333.64，258.33）λ=-1.1934×10-5
      （c）800×600（Cx，Cy）=（369.90，271.13）λ=-1.7466×10-6
      （d）1024×680（Cx，Cy）=（490.33，308.66）λ=-2.4160×10-6
      （e）2560×1920（Cx，Cy）=（1228.90，942.75）λ=-1.0704×10-6
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    Ping Wang, Dengyin Yao, Rui Qiao, Tao Zhang, Pengpeng Yao. Estimation Method of Lens Distortion Parameters Based on Two Lines[J]. Acta Optica Sinica, 2023, 43(13): 1315001

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    Paper Information

    Category: Machine Vision

    Received: Sep. 20, 2022

    Accepted: Mar. 3, 2023

    Published Online: Jul. 12, 2023

    The Author Email: Ping Wang (pingwangsky@163.com)

    DOI:10.3788/AOS221724

    Topics

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