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Acta Optica Sinica, Volume. 38, Issue 7, 0715003(2018)

Further Study and Application for One-Dimensional Homography Matrix

Yaowen Lü1、*, Wei Liu2, Bojun Du3,4, and Xipin Xu1
Author Affiliations
  • 1 Key Laboratory of Optoelectric Measurement and Optical Information Transmission Technology of Ministry of Education, School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China
  • 2 College of Communications Engineering, Jilin University, Changchun, Jilin 130033, China
  • 3 College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, Hunan 410073, China
  • 4 Baicheng Ordnance Test Center of China, Baicheng, Jilin 137001, China
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    AbstractGet PDF(in Chinese)
    Figures&Tables (7)
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    References (18)
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    Figures & Tables(7)
    A motion rotating around a fixed point which converts from planar motion by Ref.[6] method. (a) 3D space motion plane; (b) image plane

    Fig. 1. A motion rotating around a fixed point which converts from planar motion by Ref.[6] method. (a) 3D space motion plane; (b) image plane

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    Cross ratio invariant of 1D homograph

    Fig. 2. Cross ratio invariant of 1D homograph

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    1D calibration with planar motion based on homography. (a) 3D space motion plane; (b) image plane

    Fig. 3. 1D calibration with planar motion based on homography. (a) 3D space motion plane; (b) image plane

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    Effect of noise level on linear calibration precision. (a) Proposed method; (b) Ref.[6] method

    Fig. 4. Effect of noise level on linear calibration precision. (a) Proposed method; (b) Ref.[6] method

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    Effect of motion number on calibration precision. (a) Proposed method; (b) Ref.[6] method

    Fig. 5. Effect of motion number on calibration precision. (a) Proposed method; (b) Ref.[6] method

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    Calibration image with 1D planar motion

    Fig. 6. Calibration image with 1D planar motion

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    • Table 1. Calibration results of real image

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      Table 1. Calibration results of real image

      voMethodParameterfufvγuo
      ProposedMethodGround truth2305.02301.50(90°)637.0514.4
      Closed-form2578.92578.60(90°)609.1473.6
      Error /%11.8812.0401.211.79
      Nonlinear2383.12385.30(90°)604.8494.6
      Error /%3.423.6101.390.86
      Method ofRef.[6]Closed-form2786.42788.50(90°)610.5570.6
      Error /%20.8821.1601.152.43
      Nonlinear2563.22565.70(90°)501.2530.5
      Error /%11.2011.4805.500.70
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    Yaowen Lü, Wei Liu, Bojun Du, Xipin Xu. Further Study and Application for One-Dimensional Homography Matrix[J]. Acta Optica Sinica, 2018, 38(7): 0715003

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    Paper Information

    Category: Machine Vision

    Received: Dec. 26, 2017

    Accepted: --

    Published Online: Sep. 5, 2018

    The Author Email: Lü Yaowen (lvyaowen2005@163.com)

    DOI:10.3788/AOS201838.0715003

    Topics

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