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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 51, Iss. 17 — Jun. 10, 2012
  • pp: 3811–3816

Using concentric circles and wedge grating for camera calibration

Junpeng Xue, Xianyu Su, Liqun Xiang, and Wenjing Chen  »View Author Affiliations

Applied Optics, Vol. 51, Issue 17, pp. 3811-3816 (2012)

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This paper presents a method for camera calibration based on the orthogonal vanishing point calibration using concentric circles grating and wedge grating. This method, which we believe is new, uses the high-precision characteristics of phase extraction to obtain the feature points, thus decreasing the calibration errors caused by the traditional marker extraction errors of gray pattern. According to the simulation experiment analysis results, the concentric circles grating was designed with seven periods and the wedge grating was designed with four periods. In the real measuring experiment, the grating target and the similar gray concentric circles target were used to calibrate the camera, respectively. Through comparing the reprojective errors of the two methods, the method proposed is proven to improve the calibration accuracy and robustness for the vanishing point calibration algorithm.

© 2012 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(350.5030) Other areas of optics : Phase
(150.1488) Machine vision : Calibration
(100.5088) Image processing : Phase unwrapping

ToC Category:
Machine Vision

Original Manuscript: January 30, 2012
Revised Manuscript: March 31, 2012
Manuscript Accepted: April 3, 2012
Published: June 7, 2012

Junpeng Xue, Xianyu Su, Liqun Xiang, and Wenjing Chen, "Using concentric circles and wedge grating for camera calibration," Appl. Opt. 51, 3811-3816 (2012)

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  1. Z. Hu and Z. Tan, “Calibration of stereo cameras from two perpendicular planes,” Appl. Opt. 44, 5086–5090(2005). [CrossRef]
  2. M. K. Hor, C. Y. Tang, Y. L. Wu, K. H. Chan, and J. F. Tsai, “Robust refinement methods for camera calibration and 3D reconstruction from multiple images,” Pattern Recogn. Lett. 32, 1210–1221 (2011). [CrossRef]
  3. F. Zhu, H. Shi, P. Bai, and X. He, “Three-dimensional shape measurement and calibration for fringe projection by considering unequal height of the projector and the camera,” Appl. Opt. 50, 1575–1583 (2011). [CrossRef]
  4. R. Tsai, “A versatile camera calibration technique for high-accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses,” IEEE J. Robot. Autom. 3, 323–344 (1987). [CrossRef]
  5. Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22, 1330–1334 (2000). [CrossRef]
  6. J. Li and D. Zhang, “Camera calibration with a near-parallel imaging system based on geometric moments,” Opt. Eng. 50, 023601 (2011). [CrossRef]
  7. Y. Liu and X. Su, “Camera calibration with planar crossed fringe patterns,” Optik 123, 171–175 (2012). [CrossRef]
  8. L. Grammatikopoulos, G. Karras, and E. Petsa, “An automatic approach for camera calibration from vanishing points,” ISPRS J. Photogramm. Remote Sens. 62, 64–76 (2007). [CrossRef]
  9. G. Seetharaman, H. Bao, and G. Shivaram, “Calibration of camera parameters using vanishing points,” J. Franklin Inst. 331, 555–585 (1994). [CrossRef]
  10. J. Heikkila, “Geometric camera calibration using circular control points,” IEEE Trans. Pattern Anal. Machine Intell. 22, 1066–1077 (2000). [CrossRef]
  11. B. Li, K. Peng, X. Ying, and H. Zha, “Simultaneous vanishing point detection and camera calibration from single images,” in Advances in Visual Computing, G. Bebis, R. Boyle, B. Parvin, D. Koracin, R. Chung, R. Hammound, M. Hussain, T. Kar-Han, R. Crawfis, D. Thalmann, D. Kao, and L. Avila, eds. (Springer, 2010), pp. 151–160.
  12. R. Hartley, “Estimation of relative camera positions for uncalibrated cameras,” Computer Vision—ECCV’92, G. Sandini, ed. (Springer, 1992), pp. 579–587.
  13. S. J. Maybank and O. D. Faugeras, “A theory of self-calibration of a moving camera,” Int. J. Comput. Vis. 8, 123–151(1992). [CrossRef]
  14. X. Meng and Z. Hu, “A new easy camera calibration technique based on circular points,” Pattern Recogn. 36, 1155–1164 (2003). [CrossRef]
  15. J.-S. Kim, H.-W. Kim, and I.-S. Kweon, “A camera calibration method using concentric circles for vision applications,” in Proceedings of the 5th Asian Conference on Computer Vision, ACCV 2002 (Asian Federation of Computer Vision Societies, 2002).
  16. P. S. Huang and S. Zhang, “Fast three-step phase-shifting algorithm,” Appl. Opt. 45, 5086–5091 (2006). [CrossRef]
  17. X. Su, G. Zhang, and L. Guo, “Phase-only composite filter,” Opt. Eng. 26, 520–523 (1987).
  18. W. Li and X. Su, “Real-time calibration algorithm for phase shifting in phase-measuring profilometry,” Opt. Eng. 40, 761–766 (2001). [CrossRef]
  19. W. Li and Y. F. Li, “Single-camera panoramic stereo imaging system with a fisheye lens and a convex mirror,” Opt. Express 19, 5855–5867 (2011). [CrossRef]
  20. H. Schreiber and J. H. Bruning, “Phase shifting interferometry,” in Optical Shop Testing, 3rd ed., D. Malacara, ed. (Wiley, 2007), pp. 547–655.

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