Correction method of image distortion of fisheye lens

Lu Lijun; Liu Meng; Shi Ye

doi:10.3788/IRLA201948.0926002

A new method to correct the image distortion of a fisheye lens was presented. The relationship of radial position of the chief ray at a projection plane and image plane was obtained by tracing the chief ray through the optical system, then a Fourier series was applied to fit the relation curve. Finding the inverse function of the expression of the series, the image without distortion can be obtained in terms of the resultant distorted image. Correction of image distortion of two fisheye lenses was simulated numerically with the method, experiments of distortion correction of two pictures taken with one of fisheye lenses, Nikon 16 mm/F2.8 lenses, were performed. The results show that residual radial height error of the restored image to the object is quite small(less than 0.25%) when the projection plane coincides with the object plane. The experiments also demonstrate that the method is feasible.

Correction method of image distortion of fisheye lens

1. Department of Precision Mechanical Engineering,Shanghai University,Shanghai 200444,China

Received Date: 2019-04-05

Rev Recd Date: 2019-05-03

Publish Date: 2019-09-25

Key words:

Abstract: A new method to correct the image distortion of a fisheye lens was presented. The relationship of radial position of the chief ray at a projection plane and image plane was obtained by tracing the chief ray through the optical system, then a Fourier series was applied to fit the relation curve. Finding the inverse function of the expression of the series, the image without distortion can be obtained in terms of the resultant distorted image. Correction of image distortion of two fisheye lenses was simulated numerically with the method, experiments of distortion correction of two pictures taken with one of fisheye lenses, Nikon 16 mm/F2.8 lenses, were performed. The results show that residual radial height error of the restored image to the object is quite small(less than 0.25%) when the projection plane coincides with the object plane. The experiments also demonstrate that the method is feasible.

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Reference (11)

[1]	Song Yang, Zhou Yali, Zhang Qizhi, et al. Correction method for radial distortion of fisheye lens[J]. Chinese Journal of Scientific Instrument, 2017, 38(4):1014-1023. (in Chinese)
[2]	Park J, Kim D, Kim D, et al. Non-dyadic fisheye lens correction model for image enhancement[J]. Journal of the Optical Society of America A, 2015, 32(11):2148.
[3]	Yang Zhongwei, Yang Ming. A fisheye image correction method based on ellipsoid model[J]. Optical Instruments, 2015, 37(2):127-131. (in Chinese)
[4]	Yang Xieliu, Fang Suping, Yang Yulin. Accurate template-based correction technology for lens distortion[J]. Optical Engineering, 2012, 51(10):3602.
[5]	Shah S, Aggarwal J K. Simple calibration procedure for fish-eye(high distortion) lens cameras[C]//International Conference on Robotics and Automation-ICRA, 1994:3422-3427.
[6]	Park J, Byun S C, Lee B U. Lens distortion correction using ideal image coordinates[J]. IEEE Trans Consum Electr, 2009, 55:987-991.
[7]	Lu Lijun, Deng Zhiyong. Geometric characteristics of aberrations of plane-symmetric optical systems[J]. Applied Optics, 2009, 48(36):6946- 6960.
[8]	Lu Lijun, Hu Xiaoyan, Sheng Cuiyuan. Optimization method for ultra-wide-angle and panoramic optical systems[J]. Applied Optics, 2012, 51(17):3776-3786. (in Chinese)
[9]	Sato Haruo. Fisheye Lens:Japan, 5-273459[P]. 1993-10-22.
[10]	Malacara D M Z. Handbook of lens design[Z]. Marcel Dekker, 1994.
[11]	Bi K, Huang F, Cheng W. An image correction method of fisheye lens based on bilinear interpolation[C]//International Conference on Intelligent Computation Technology and Automation. IEEE, 2011:428-431.

Correction method of image distortion of fisheye lens

doi: 10.3788/IRLA201948.0926002

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