Acta Optica Sinica, Volume. 38, Issue 3, 315005(2018)

Calibration Method of Binocular Vision System with Zoom Lens Based on Homography Matrix

Jiang Tao, Cheng Xiaosheng, Cui Haihua*, Jia Huayu, and Zhang Fengjun
Author Affiliations
  • [in Chinese]
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    Figures & Tables(11)
    Stereo vision measurement principle diagram of zoom lens
    Diagram of homography matrix in zoom process
    Diagram of solving binocular external parameters
    (a) Zoom lens binocular cameras; (b) calibration board; (c) calibration board under a large zoom value
    Focal lengths of (a) left camera, (b) right camera and (c)main point of left camera under different zoom values
    Reprojective images. (a) Left and (b) right views in Zoom 45; (c) left and (d) right views in Zoom 55; (e) left and (f) right views in Zoom 65; (g) left and (h) right views in Zoom 80
    (a) Homography matrix error; (b) reprojective point error
    Stereo reconstruction with zoom lens. (a) Reconstruction result with calibration parameters under different zoom values; (b) reconstruction result with the proposed method
    Reconstruction error diagram
    Reconstruction results of standard bench block under different zoom values. (a) Physical map of standard block; (b) reconstruction under zoom value of 50; (c) compared results of (b); (d) reconstruction under zoom value 80; (e) compared results of (d)
    • Table 1. Parameters of zoom lens

      View table

      Table 1. Parameters of zoom lens

      Zoom XFocal length fL/fR /mmPrincipal point (uL,vL)/(uR,vR) /pixelTranslation vector
      Zhang’s methodProposed methodZhang’s methodProposed method
      4010.2022125/10.1105250no(648.438,511.487)(597.860,551.436)(-405.353,11.50470,115.941)no
      4511.3933625/11.385075011.3420625/11.2539000(653.799,519.974)(584.003,559.404)(-406.591,9.59086,122.245)(-406.280,9.57893,122.795)
      5012.8003625/12.769500012.7021875/12.7162125(655.699 522.811)(581.148 570.349)(-409.124,11.24640,123.514)(-408.767,11.23000,124.103)
      5514.5618125/14.515125014.3880000/14.3808750(671.492,534.388)(569.970,582.627)(-413.099,11.31770,124.851)(-412.663,11.29800,125.598)
      6016.7451375/16.355100016.4294625/16.4222625(698.841,543.614)(601.728,590.008)(-423.470,12.35340,106.413)(-422.960,12.33140,107.173)
      6519.1872500/18.856237519.0587750/18.6571875(681.361,521.891)(573.561,598.445)(-428.167,10.98880,116.201)(-427.532,10.95700,117.279)
      7022.3601625/21.699225022.0710375/21.7093500(726.319,520.572)(578.317,604.792)(-432.387,10.64820,104.317)(-431.601,10.61000,105.516)
      7526.3140125/27.122512525.8063375/24.9868500(743.855,503.384)(231.646,690.784)(-420.765,7.51689,171.149)(-419.783,7.45610,173.743)
      8030.5064375/32.645212530.6684750/30.9844625(639.600,479.047)(618.662,579.100)(-413.616,3.62142,212.744)(-412.380,3.53481,215.086)
      8536.1005000/35.966250035.5908375/35.1420000(591.922,387.185)(499.214,450.762)(-444.908,9.34525,133.204)(-443.562,9.24800,134.031)
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    Jiang Tao, Cheng Xiaosheng, Cui Haihua, Jia Huayu, Zhang Fengjun. Calibration Method of Binocular Vision System with Zoom Lens Based on Homography Matrix[J]. Acta Optica Sinica, 2018, 38(3): 315005

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    Paper Information

    Category: Machine Vision

    Received: Aug. 28, 2017

    Accepted: --

    Published Online: Mar. 20, 2018

    The Author Email: Haihua Cui (cuihh@nuaa.edu.cn)

    DOI:10.3788/AOS201838.0315005

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