A three-step camera calibration method

IEEE Transactions on Instrumentation and Measurement

Volumn 46, Issue 5, 1997, Pages 1165-1172

  Bacakoglu, Hakan ^a   Kamel, Mohamed S ^a  

^a UNIVERSITY OF WATERLOO   (Canada)

Author keywords

Calibration; Cameras; Image sensors; Machine vision; Nonlinear optimization; Photogrammetry; Quaternions; Robot sensing

Indexed keywords

CALIBRATION; COMPUTER VISION; CONSTRAINT THEORY; ERROR ANALYSIS; IMAGE SENSORS; LEAST SQUARES APPROXIMATIONS; MATRIX ALGEBRA; OPTIMIZATION; PHOTOGRAMMETRY;

ROBOT SENSING;

CAMERAS;

EID: 0031247129     PISSN: 00189456     EISSN: None     Source Type: Journal    
DOI: 10.1109/19.676732     Document Type: Article

References (19)

1. Y.I. Abdel-Aziz and H. M. Karara, "Direct linear transformation into object shape coordinates in close-range photogrammetry," in Proc. Symp. Close-Range Photogrammetry, Urbana, IL, 1971, pp. 1-18.
2. W. Faig, "Calibration of close-range photogrammetry systems: Mathematical formulation," Photogramm. Eng. Remote Sens., vol. 41, no. 12, pp. 1479-1486, 1975.
3. I. Sobel, "On calibrating computer controlled cameras for perceiving 3-D scenes," Artif. Intell, vol. 5, pp. 185-198, 1974.
4. G.B. Gennery, "Stereo-camera calibration," in Proc. Image Understanding Workshop, Nov. 1979, pp. 101-108
5. L. Paquette, R. Stampfler, W.A. Davis, and I. M. Caelli, "A new camera calibration method for robotic vision," in Proc. SPIE, Int. Soc. Opt. Eng., 1990, vol. 1395, pt. 2, pp. 656-663.
6. R.Y. Tsai, "An efficient and accurate camera calibration technique for 3-D maichine vision," in Proc. IEEE Conf. Computer Vision Pattern Recognition, Miami, FL, 1986, pp. 364-374.
7. M.A. Sid-Ahmed and T. B. Mohamed, "Dual camera calibration for 3-D machine vision metrology," IEEE Trans. Instrum. Meas., vol. 39, pp. 512-516, June 1990.
8. J. Weng, P. Cohen, and M. Herniou, "Calibration of stereo cameras using a nonlinear distortion model (CCD sensory)," in Proc. 10th Int. Conf. Pattern Recognition, 1990, vol. 1, pp. 246-253.
9. H.A. Martins, J. R. Birk, and R. B. Kelley, "Camera calibration based on data from two calibration planes," Comput. Graph. Image Processing, vol. 17, pp. 173-180, 1981.
10. M. Fishier and R. Bailas, "Random sample consensus: A paradigm for model fitting with applications to image analysis and automated cartography," Commun. Assoc. Comput. Mach., vol. 24, pp. 381-395, 1981.
11. J. Wen and G. Schweitzer, "Hybrid calibration of CCD cameras using artificial neural nets," 1991 IEEE Int. Joint Conf. Neural Networks, 1991, vol. 1, pp. 337-342.
12. R.L. Czaplewski, "Misclassification bias in areal estimates," Photogramm. Eng. Remote Sensing, vol. 58, no. 2, pp. 189-192, 1992.
13. R.O. Duda and P. E. Hart, Pattern Classification and Scene Analysis. New York: Wiley, 1973.
14. D.C. Brown, "Close-range camera calibration," Photogramm. Eng. Remote Sensing, vol. 37, pp. 855-866, 1971.
15. D.W. Marquardt, "An algorithm for least-squares estimation of nonlinear parameters," J. Soc. Indust. Appl. Math., vol. 11, no. 2, pp. 431-441, 1963.
16. R.P. Paul, Robot Manipulators: Mathematics, Programming, and Control. Cambridge, MA: MIT Press, 1981.
17. Y.C. Shiu and S. Ahmad, "Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX = XB," IEEE Trans. Robot. Automat., vol. 5, pp. 16-29, Feb. 1989.
18. J.C. Chou and M. Kamel, "Finding the position and orientation of a sensor on a robot manipulator using quaternions," Int. J. Robot. Res., vol. 10, pp. 240-254, June 1991.
19. J.C. Chou, "Least-squares approach to extraction of the unit quaternion from a rotation matrix," unpublished, 1994.