Abstract
This paper proposes a detection method of chessboard corner to correct camera distortions–including radial distortion, decentering distortion and prism distortion. This proposed method could achieve high corner detection rate. Then we used iterative procedure to optimize distortion parameter to minimize distortion residual. In this method, first, non-distortion points are evaluated by four points near image center; secondly, Levenberg-Marquardt nonlinear optimization algorithm was adopted to calculate distortion parameters, and then to correct image by these parameters; thirdly, we calculated corner points on the corrected image, and repeated previous two steps until distortion parameters converge. Results showed the proposed method by iterative procedure can make the impact of slight distortion around image center negligible and the average of distortion residual of one line is almost 0.3 pixels.
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References
Abellard A, Bouchouicha M, Ben Khelifa M. A genetic algorithm application to stereo calibration. In: Proceedings of 2005 IEEE International Symposium on Computational Intelligence in Robotics and Automation. Espoo, Finland. 2005, 285–290
Brown D C. Close-range camera calibration. Photogrammetric Engineering, 1971, 37(8): 855–866
Weng J, Cohen P, Herniou M. Camera calibration with distortion models and accuracy evaluation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1992, 14(10): 965–980
Zhang Z. On the epipolar geometry between two images with lens distortion. In: Proceedings of the 13th International Conference on Pattern Recognition (ICPR), Vienna. 1996, 407–411
Du X, Li H, Zhu Y. Camera lens radial distortion correction using two-view projective invariants. Optics Letters, 2011, 36(24): 4734–4736
Goljan M, Fridrich J. Estimation of lens distortion correction from single images. In: Proceedings of SPIE 9028, Media Watermarking, Security, and Forensics. 2014, 90280N
Prescott B, McLean G. Line-based correction of radial lens distortion. Graphical Models and Image Processing, 1997, 59(1): 39–47
Gao D, Yin F. Computing a complete camera lens distortion model by planar homography. Optics & Laser Technology, 2013, 49: 95–107
Hartley R, Kang S B. Parameter-free radial distortion correction with center of distortion estimation. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2007, 29(8): 1309–1321
Park J, Byun S C, Lee B U. Lens distortion correction using ideal image coordinates. IEEE Transactions on Consumer Electronics, 2009, 55(3): 987–991
Manolis L. Levenberg-Marquardt nonlinear least squares algorithms in C/C ++
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Yubin Wu is an associate professor in the School of Optical and Electronic Information, Huazhong University of Science and Technology. He received the M.E. degree in optical engineering from Institute of Optics and Electronics of the Chinese Academy of Sciencesin 1987; the B.E. degree in optical instruments from Huazhong University of Science and Technologyin 1984. His research interests include optoelectronic sensing and signal processing, machine vision, and the development of high-tech products.
Shixiong Jiang is a Ph.D. candidate in the School of Optical and Electronic Information, Huazhong University of Science and Technology. He received the B.E. degree in the School of Optical and Electronic Information, Huazhong University of Science and Technology in 2011. His research interests include machine vision, 3D reconstruction and pattern recognition.
Zhenkun Xu received the B.E. and M.E. degrees in the School of Optical and Electronic Information, Huazhong University of Science and Technology. His research interests include camera calibration and image processing.
Song Zhu is a Ph.D. candidate in the School of Optical and Electronic Information, Huazhong University of Science and Technology. He received the B.E. degree in the School of Optical and Electronic Information, Huazhong University of Science and Technology, in 2010. His research interests include 3D computer vision, image segment and pattern recognition.
Danhua Cao is a professor in the School of Optical and Electronic Information, Huazhong University of Science and Technology. She received the Ph.D. degree in electronic physics and devices from Huazhong University of Science and Technology in 1993; the B.E. degree in measuring and control technology and instrumentations from Huazhong University of Science and Technology in 1987. She is the permanent member of the Professional Committee of Opto-electronic Technology in the Chinese Optical Society. Her research interests include optoelectronic sensing and signal processing, machine vision algorithm and systems.
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Wu, Y., Jiang, S., Xu, Z. et al. Lens distortion correction based on one chessboard pattern image. Front. Optoelectron. 8, 319–328 (2015). https://doi.org/10.1007/s12200-015-0453-7
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DOI: https://doi.org/10.1007/s12200-015-0453-7