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Optical Engineering • Open Access

Correction of image radial distortion based on division model
Author(s): Fanlu Wu; Hong Wei; Xiangjun Wang

Paper Abstract

This paper presents an approach for estimating and then removing image radial distortion. It works on a single image and does not require a special calibration. The approach is extremely useful in many applications, particularly those where human-made environments contain abundant lines. A division model is applied, in which a straight line in the distorted image is treated as a circular arc. Levenberg–Marquardt (LM) iterative nonlinear least squares method is adopted to calculate the arc’s parameters. Then “Taubin fit” is applied to obtain the initial guess of the arc’s parameters which works as the initial input to the LM iteration. This dramatically improves the convergence rate in the LM process to obtain the required parameters for correcting image radial distortion. Hough entropy, as a measure, has achieved the quantitative evaluation of the estimated distortion based on the probability distribution in one-dimensional θ Hough space. The experimental results on both synthetic and real images have demonstrated that the proposed method can robustly estimate and then remove image radial distortion with high accuracy.

Paper Details

Date Published: 24 January 2017
PDF: 10 pages
Opt. Eng. 56(1) 013108 doi: 10.1117/1.OE.56.1.013108
Published in: Optical Engineering Volume 56, Issue 1
Show Author Affiliations
Fanlu Wu, Tianjin Univ. (China)
Hong Wei, The Univ. of Reading (United Kingdom)
Xiangjun Wang, Tianjin Univ. (China)

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