Hand-eye calibration using convex optimization

Proceedings - IEEE International Conference on Robotics and Automation

Volumn , Issue , 2011, Pages 2947-2952

  Zhao, Zijian ^a  

^a LABORATOIRE TIMC IMAG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTING ERROR; HAND-EYE CALIBRATION; LINEAR OPTIMIZATION; NON-LINEAR OPTIMIZATION; REAL APPLICATIONS;

ALGORITHMS; CONVEX OPTIMIZATION; OPTIMIZATION;

ROBOTICS;

EID: 84868656728     PISSN: 10504729     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICRA.2011.5979569     Document Type: Conference Paper

References (24)

1. Y. C. Shiu, S. Ahmad, "Calibration of wrist-mounted robotic sensors by solving homogeneous transform equations of the form AX=XB," IEEE Trans. Robot. Autom., vol.5, no.1, pp.16-29, 1989.
2. R. Y. Tsai, R. K. Lenz, "A new technique for fully autonomous and efficient 3D robotics hand/eye calibration," IEEE Trans. Robot. Autom., vol.5, no.3, pp.345-358, 1989.
3. Jack C. K. Chou, M. Kamel, "Finding the position and orientation of a sensor on a robot manipulator using quaternions," International Journal of Robotics Research, vol.10, no.3, pp.240-254, 1991.
4. Y. C. Lu, J. C. Chou, "Eight-space quaternion approach for robotic hand-eye calibration," in Proc. IEEE Intl. Conf. Systems, Man and Cybernetics, 1995, pp.3316-3321.
5. H. H. Chen, "A screw motion approach to uniqueness analysis of head-eye geometry," in Proc. IEEE Conf. Comp. Vision and Pattern Recognition, 1991, pp.145-151.
6. K. Daniilidis, "Hand-eye calibration using dual quaternions," International Journal of Robotics Research, vol.18, no.3, pp.286-298, 1999.
7. Z. Zhao, Y. Liu, "A hand-eye calibration algorithm based on screw motions," Robotica, vol.27, no.2, pp.217-223, 2009.
8. H. Zhuang, Y. C. Shiu, "A noise-tolerant algorithm for robotic hand-eye calibration with or without sensor orientation measurement," IEEE Trans. Systems, Man and Cybernetics, vol.23, no.4, pp.1168-1175, 1993.
9. I. Fassi, G. Legnani, "Hand to sensor calibration: a geometrical interpretation of the matrix equation AX=XB," Journal of Robotic Systems, vol.22, no.9, pp.497-506, 2005.
10. F. C. Park, B. J. Martin, "Robot sensor calibration: solving AX=XB on the Euclidean group," IEEE Trans. Robot. Autom., vol.10, no.5, pp.717-721, 1994.
11. R. Horaud, F. Dornaika, "hand-eye calibration," International Journal of Robotics Research, vol.14, no.3, pp.195-210, 1995.
12. F. Dornaika, R. Horaud, "Simultaneous robot-world and hand-eye calibration," IEEE Trans. Robot. Autom., vol.14, no.4, pp.617-622, 1998.
13. K. H. Strobl, G. Hirzinger, "Optimal hand-eye calibration," in Proc. IEEE/RSJ Conf. Intelligent Robots and Systems, 2006, pp.4647-4653.
14. S. Boyd, L. Vandenberghe, Convex Optimization, Cambridge University Press, 2004.
15. F. Kahl, R. Hartley, "Multiple view geometry under the L-infinity norm," IEEE Trans. Pattern Analysis and Machine Intelligence, vol.30, no.9, pp.1603-1617, 2008.
16. F. Kahl, S. Agarwal, M. Chandraker, D. Kriegman, S. Belongie, "Practical global optimization for multiview geometry," International Journal of Computer Vision, vol.79, no.3, pp.271-284, 2008.
17. R. Hartley, A. Zisserman, Multiplue View Geometry in Computer Vision, Cambridge University Press, 2004.
18. H. Neudecker, "A note on kronecker matrix product and matrix equation systems," SIAM Journal of Applied Mathematics, vol.17, no.3, pp.603-606, 1969.
19. N. Andreff, R. Horaud, B. Espiau, "On-line hand-eye calibration," in Proc. 2nd Intl. Conf. 3-D Digital Imaging and Modeling, 1999, pp.430-436.
20. J. Sturm, "Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones," Optimization Methods and Software, vol.1112, pp.625-653, 1999.
21. J. Schmidt, H. Niemann, "Data selection for hand-eye calibration: a vector quantization approach," International Journal of Robotics Research, vol.27, no.9, pp.1027-1053, 2008.
22. Z. Zhang, "A flexible new technique for camera calibration," IEEE Trans. Pattern Analysis and Machine Intelligence, vol.22, no.11, 2000.
23. I. Christian, T. Marc, W.S Wan, "Rprop using the natural gradient," International Series of Numerical Mathematics, Vol. 151, pp.259-272, 2005.
24. Y. Nesterov, A. Nemirovsky, "Interior-point polynomial methods in convex programing," Studies in Applied Mathematics SIAM, vol.13, 1994.