Distortion Correction Method of Zoom Lens Based on Vanishing Point Geometric Constraint

  • Zhenmin ZhuEmail author
  • Quanxin Liu
  • Xinyun Wang
  • Shuang Pei
Part of the Studies in Computational Intelligence book series (SCI, volume 810)


In order to solve the problem that the nonlinear distortion of the zoom lens varies with the focal length changes, a fast correction method for zoom lens based on the minimum fitting error of vanishing points is proposed. Firstly, based on the radial distortion model, the equation between the vanishing point and the radial distortion coefficient is established according to the geometric constraint of the vanishing point. And then, according to the principle of the deviation error minimization, use the least squares to fit the equation of straight line of the corrected points. Finally, the variation of distortion parameters with focal length is analyzed, the distortion parameter table between distortion parameter and focal length and the empirical formula of fitting are established. The results of images correction show that the proposed method can effectively correct the nonlinear distortion of zoom lens.


Distortion correction Zoom lens Minimum fitting error Vanishing points Radial distortion model 



This research is supported by the Program of Jiangxi Outstanding Youth Talent Assistance (Grant No. 20162BCB23047), and Science and Technology Pillar Program of Jiangxi Province (Grant No. 20151BBE50116).


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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Zhenmin Zhu
    • 1
    Email author
  • Quanxin Liu
    • 1
  • Xinyun Wang
    • 1
  • Shuang Pei
    • 1
  1. 1.School of Electrical and Automation EngineeringEast China Jiaotong UniversityNanchangChina

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