Acta Optica Sinica, Volume. 41, Issue 3, 0311002(2021)

Expansion of Conical Catadioptric Panoramic Image of Inner Surface of Cylindrical Objects

Wenbo Jing1、*, Xuefeng Gao2, Bingkun Huang1, Shitao Li2, and Hongyang Yu3
Author Affiliations
  • 1School of Opto-Electronic Engineering, Changchun University of Science and Technology, Changchun, Jilin 130022, China
  • 2Jiangsu North Huguang Opto-Electronics Co. Ltd., Wuxi, Jiangsu 214035, China
  • 3The 55th Research Institute of China Electronic Technology Group Corporation, Nanjing, Jiangsu 210016, China
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    Figures & Tables(12)
    Schematic of the projection model of the cone of point M. (a) Forward model; (b) reverse model
    Expansion process of panoramic image of the bidirectional projection
    Simulation results of bidirectional projection model. (a) Forward model; (b) reverse model
    Simulation results of panoramic image expansion. (a) Panoramic image; (b) proportionally distorted cylindrical panoramic image; (c) corrected cylindrical panoramic image; (d) ideal cylindrical panoramic image
    Results of reverse projection model pixel positioning error. (a) 1--140 pixel; (b) 140--280 pixel
    Results of forward projection model pixel positioning error. (a) 1--150 pixel; (b) 150--300 pixel
    Image acquisition device and result graph. (a) Diagram of experimental platform; (b) panoramic image
    Comparison of calibration paper panoramic image expansion results. (a) Approximate expansion method of concentric rings; (b) expansion method under conical bidirectional projection model
    Comparison of local details. (a) Calibration paper image; (b) approximate expansion result of concentric rings; (c) expansion result under conical bidirectional projection model
    Comparison chart of barrel panoramic image expansion results. (a) Approximate expansion result of concentric rings; (b) expansion result under conical bidirectional projection model
    • Table 1. Related parameters of cone panoramic imaging system

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      Table 1. Related parameters of cone panoramic imaging system

      System parameterValueSystem parameterValue
      Conical aperture Dcone /mm68System axial dimensions H=2Dconef/d /mm138.35
      Conical vertex angle δ /(°)60Focal length of lens f /mm25
      Conical thickness hcone /mm20Detector size /μm2560×2048×6
    • Table 2. Data of experimental results of different expansion methods

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      Table 2. Data of experimental results of different expansion methods

      ItemEvaluationApproximate expansion methodof concentric ringsExpansion method underconical bidirectional projection model
      Calibration paperIE6.91427.1382
      AG6.67228.0628
      BarrelIE6.89116.9947
      AG7.96669.1138
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    Wenbo Jing, Xuefeng Gao, Bingkun Huang, Shitao Li, Hongyang Yu. Expansion of Conical Catadioptric Panoramic Image of Inner Surface of Cylindrical Objects[J]. Acta Optica Sinica, 2021, 41(3): 0311002

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    Paper Information

    Category: Imaging Systems

    Received: May. 7, 2020

    Accepted: Sep. 15, 2020

    Published Online: Feb. 28, 2021

    The Author Email: Jing Wenbo (wenbojing@cust.edu.cn)

    DOI:10.3788/AOS202141.0311002

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