An Analytical Piecewise Radial Distortion Model for Precision Camera Calibration

|The common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-speci c parameters into the camera model and requires estimation of these distortion parameters. The task of estimating radial distortion is to nd a radial distortion model that allows easy undistortion as well as satisfactory accuracy. This paper presents a new piecewise radial distortion model with easy analytical undistortion formula. The motivation for seeking a piecewise radial distortion model is that, when a camera is resulted in a low quality during manufacturing, the nonlinear radial distortion can be complex. Using low order polynomials to approximate the radial distortion might not be precise enough. On the other hand, higher order polynomials su er from the inverse problem. With the new piecewise radial distortion function, more exibility is obtained and the radial undistortion can be performed analytically. Experimental results are presented to show that with this new piecewise radial distortion model, better performance is achieved than that using the single function. Furthermore, a comparable performance with the conventional polynomial model using 2 coe cients can also be accomplished.