Abstract
Most coplanar calibration algorithms determine the initial camera parameters from a single image under the assumption that the principal point is known in advance. However, the camera orientations, the shifted principal point and the noise corrupted on images have an influence on the estimated initial camera parameters under the above assumption. This paper proposes a useful method to determine the initial camera parameters for coplanar calibration. The proposed method can determine the initial camera parameters from the single image, wherein the principal point is considered as a parameter. In our experiments, both synthetic and real images are used. The experimental results show that the proposed method provides both stable initial camera parameters and noise robustness for changes of camera orientations, noise levels and shifts of principal point.
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R. Y. Tsai, “A versatile camera calibration technique for high accuracy 3D machine vision metrology using off-the-shelf TV camera and lenses,” IEEE J. Robotics and Automat., vol. RA-3, no. 4, pp. 323–344, August 1987.
R. K. Lenz and R. Y. Tsai, “Techniques for calibration of the scale factor and image center for high accuracy 3D machine vision metrology,” IEEE Trans. on Patt. Anal. Machine Intell., vol. 10, pp. 713–720, September 1988.
C. Chatterjee and V. P. Roychowdhury, “Algorithms for coplanar camera calibration,” Machine Vision and Applications, Springer-Verlag, pp. 84–97, 2000.
S. Ganapathy, “Decomposition of transformation matrices for robot vision,” Proc. of Int. Conf. Robot and Automation, pp. 130–139, 1984.
W. Grosky and L. Tamburino, “A unified approach to linear camera calibration problem,” IEEE Trans. on Patt. Anal. Machine Intell., vol. 12, pp. 663–671, July 1990.
Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. on Patt. Anal. Machine Intell., vol. 22, pp. 1330–1334, November 2000.
K. Sirisantisamrid, T. Matsuura, and K. Tirasesth, “A simple technique to determine calibration parameters for coplanar camera calibration,” Proc. of IEEE TENCON2004, Thailand, pp. 677–680, 2004.
K. Sirisantisamrid, K. Tirasesth, and T. Matsuura, “Determine calibration parameters with satisfied constraints for coplanar camera calibration,” Proc. of IEEE TENCON2005, Australia, 2005.
K. Sirisantisamrid, T. Matsuura, and K. Tirasesth, “Determination of initial parameters with noise robustness for coplanar calibration,” IEEE TENCON2006, Hong Kong, 2006.
K. Sirisantisamrid, T. Matsuura, and K. Tirasesth, “A determination method for initial values of coplanar calibration parameters,” Proc. of APCCAS 2006, Singapore, 2006.
R. Hartley and A. Zisserman, Multiple View Geometry in Computer Vision, Cambridge University Press, 2003.
B. N. Datta, Numerical linear algebra and applications, Brook/Cole Publishing Company, 1995.
J. Weng, “Camera calibration with distortion models and accuracy evaluation,” IEEE Trans. on Patt. Anal. Machine Intell., vol. 14, no. 10, pp. 965–980, October 1992.
K. Sirisantisamrid, K. Tirasesth, and T. Matsuura, “Algorithms for coplanar camera calibration,” Proc. of SISB 2007, Thailand, 2007.
Z. Zhang, “A flexible new technique for camera calibra-tion,” TR-98-71, Microsoft Corporation, August 2002.
K. Sirisantisamrid, T. Thepmanee, K. Tirasesth, and T. Matsuura, “An influential principal point on camera parameters,” Proc. of ICCAS2008, Seoul, 2008.
K. Sirisantisamrid, K. Tirasesth, and T. Matsuura, “A simple technique for coplanar camera calibration,” Proc. of ICCAS2008, Seoul, 2008.
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Recommended by Editorial Board member Dong-Joong Kang under the direction of Editor Jae-Bok Song.
Kaset Sirisantisamrid received the B.S. and M.E. degrees in Industrial Instrumentation and Electrical Engineering from King Mongkut’s Institute of Technology Ladkrabang, Thailand in 1980 and 1986, respectively, and M.E. degree in Control Engineering from Osaka University, Japan in 1990. He is currently an Associate Professor at the Department of Instrumentation Engineering, Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, 10520 Thailand. His research interests include camera calibration, image processing and object tracking.
Kitti Tirasesth received the B.E. degrees in Electrical Engineering from King Mongkut’s Institute of Technology Ladkrabang, Thailand in 1975, and the M.E. and D.E. from Tokai University, Hiratsuka, Japan, in 1978 and 2001, respectively. He is currently an Associate Professor at the Department of Instrumentation Engineering, Faculty of Engineering, King Mongkut’s Institute of Technology Ladkrabang, Bangkok, 10520 Thailand. His research interests include camera calibration, image processing, control theory and its applications.
Takenobu Matsuura received the M.E. and D.E. degrees in Electrical Engineering from Tokai University, Hiratsuka, Japan, in 1973 and 1976, respectively. From 1988 to 1989, he stayed as a visiting professor at the University of Essex, Colchester, United Kingdom. He is currently a Professor at the Department of Electrical and Electronic Engineering, Tokai University, Japan. His research interests include camera calibration, pattern recognition, image processing and signal processing.
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Sirisantisamrid, K., Tirasesth, K. & Matsuura, T. A determination method of initial camera parameters for coplanar calibration. Int. J. Control Autom. Syst. 7, 777–787 (2009). https://doi.org/10.1007/s12555-009-0510-3
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DOI: https://doi.org/10.1007/s12555-009-0510-3