A New Analytical Radial Distortion Model for Camera Calibration

Common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-specific parameters into the camera model and requires estimation of these distortion parameters. The task of estimating radial distortion is to find a radial distortion model that allows easy undistortion as well as satisfactory accuracy. This paper presents a new radial distortion model with an easy analytical undistortion formula, which also belongs to the polynomial approximation category. Experimental results are presented to show that with this radial distortion model, satisfactory accuracy is achieved.

[1]  Noboru Ohnishi,et al.  Correcting distortion of image by image registration , 2002 .

[2]  Zhengyou Zhang,et al.  Flexible camera calibration by viewing a plane from unknown orientations , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[3]  Janne Heikkilä,et al.  Geometric Camera Calibration Using Circular Control Points , 2000, IEEE Trans. Pattern Anal. Mach. Intell..

[4]  Charles B. Lee RADIAL UNDISTORTION AND CALIBRATION ON AN IMAGE ARRAY , 2000 .

[5]  Roger Y. Tsai,et al.  A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses , 1987, IEEE J. Robotics Autom..

[6]  Songde Ma,et al.  Implicit and Explicit Camera Calibration: Theory and Experiments , 1994, IEEE Trans. Pattern Anal. Mach. Intell..

[7]  Zhengyou Zhang,et al.  On the epipolar geometry between two images with lens distortion , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[8]  Soren W. Henriksen,et al.  Manual of photogrammetry , 1980 .

[9]  H Farid,et al.  Blind removal of lens distortion. , 2001, Journal of the Optical Society of America. A, Optics, image science, and vision.

[10]  Kevin L. Moore,et al.  Flexible camera calibration using a new analytical radial undistortion formula with application to mobile robot localization , 2003, Proceedings of the 2003 IEEE International Symposium on Intelligent Control.

[11]  Kevin L. Moore,et al.  Camera Calibration: a USU Implementation , 2003, ArXiv.

[12]  Duane C. Brown,et al.  Close-Range Camera Calibration , 1971 .

[13]  Noboru Ohnishi,et al.  Unified approach to image distortion , 2002, Object recognition supported by user interaction for service robots.

[14]  Janne Heikkilä,et al.  A four-step camera calibration procedure with implicit image correction , 1997, Proceedings of IEEE Computer Society Conference on Computer Vision and Pattern Recognition.

[15]  Janne Heikkilä,et al.  Calibration procedure for short focal length off-the-shelf CCD cameras , 1996, Proceedings of 13th International Conference on Pattern Recognition.

[16]  Paul R. Cohen,et al.  Camera Calibration with Distortion Models and Accuracy Evaluation , 1992, IEEE Trans. Pattern Anal. Mach. Intell..

[17]  Roger Y. Tsai,et al.  Techniques for Calibration of the Scale Factor and Image Center for High Accuracy 3-D Machine Vision Metrology , 1988, IEEE Trans. Pattern Anal. Mach. Intell..

[18]  Olivier D. Faugeras,et al.  Automatic calibration and removal of distortion from scenes of structured environments , 1995, Optics & Photonics.

[19]  Ben Tordoff,et al.  Active control of zoom for computer vision , 2002 .