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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 1392832, 12 pages
Research Article

A Decoupled Calibration Method for Camera Intrinsic Parameters and Distortion Coefficients

1Institute of Optics and Electronics, Chinese Academy of Sciences, Photoelectric Sensor Laboratory, Photoelectric Avenue, Chengdu, Sichuan 610209, China
2University of Chinese Academy of Sciences, Beijing 100149, China

Received 13 July 2016; Revised 17 November 2016; Accepted 27 November 2016

Academic Editor: Salvatore Strano

Copyright © 2016 Kun Yan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Camera calibration is a necessary process in the field of vision measurement. In this paper, we propose a flexible and high-accuracy method to calibrate a camera. Firstly, we compute the center of radial distortion, which is important to obtain optimal results. Then, based on the radial distortion of the division model, the camera intrinsic parameters and distortion coefficients are solved in a linear way independently. Finally, the intrinsic parameters of the camera are optimized via the Levenberg-Marquardt algorithm. In the proposed method, the distortion coefficients and intrinsic parameters are successfully decoupled; calibration accuracy is further improved through the subsequent optimization process. Moreover, whether it is for relatively small image distortion or distortion larger image, utilizing our method can get a good result. Both simulation and real data experiment demonstrate the robustness and accuracy of the proposed method. Experimental results show that the proposed method can be obtaining a higher accuracy than the classical methods.