Radial distortion correction from a single image of a planar calibration pattern using convex optimization

In Hartley-Kang's paper [7], they directly treated a planar calibration pattern as an image to construct an image pair together with a radial distorted image of the planar calibration pattern, and then proposed a very efficient method to determine the center of radial distortion by estimating the epipole in the radial distorted image. After determined the center of radial distortion, a least square method was utilized to recover the radial distortion function using the monotonicity constraints. In this paper, we present a convex optimization method to recover the radial distortion function using the same constraints as those required by Hartley-Kang's method, whereas our method can obtain better results of radial distortion correction. The experiments validate our approach.