Efficient line-based lens distortion correction for complete distortion with vanishing point constraint

The line-based correction method has been widely researched to improve the performance of lens distortion correction. However, due to the coupling of the distortion parameters and the inaccuracy of line equation estimation, it is difficult to achieve high-accuracy correction under the complete lens distortion ( composed of radial, decentering, and prism distortion). Here, we present a method that utilizes two models to resolve these two problems, respectively: the recursive individual optimization model decouples the distortion parameters by applying Levenberg-Marquardt to optimize the parameters individually, and the vanishing point reprojection model improves the accuracy of line equation estimation with the known vanishing points calculated by a proposed expectation-minimization algorithm. Therefore, accurate correction of complete distortion can be achieved by the line information only. The validity of the proposed method was tested by several synthetic and real data, and the results showed that this method can correct the image with the complete and noncomplete distortion effectively. (C) 2015 Optical Society of America