Linear camera calibration by single image based on distortion correction

In this paper, a linear camera calibration algorithm using one image based on distortion correction is presented. First, this algorithm takes advantage of first-order radial distortion coefficient to correct image primary and then extracts the control points to fit line based on orthogonal distance, getting accurate linear slope. Next, according to the slopes of collinear points, distortion correction index function is established and then all distortions parameters are obtained by optimizing the function using optimization algorithm. Finally, camera can be calibrated linearly with single image that have been corrected based on Zhengyou Zhang algorithm. Distortion parameters, separated from the camera model, do not need to be incorporated into the camera model for multiple repeated calibrations. On the one hand, it solves the problem that Zhengyou Zhang algorithm can not be used in camera systems with a low depth of field. On the other hand, it avoids the instability of solution caused by coupling of distortion parameters, internal parameters and external parameters as well as the complex computations of three LM optimization. A large number of analysis and experiments prove that this algorithm is simple, efficient and has wide application in theory and practice.