Abstract
Over the last several years, there has been an increasing appreciation of the impact of control architecture on the accuracy of visual servoing systems. In particular, it is generally acknowledged that so-called image-based methods provide the highest guarantees of accuracy on inaccurately calibrated hand-eye systems.
Less clear is the impact of the control architecture on the set of tasks which the system can perform. In this article, we present a formal analysis of control architectures for hand-eye coordination. Specifically, we first state a formal characterization of what makes a task performable under three possible encoding methods. Then, for the specific case of cameras modeled using projective geometry, we relate this characterization to notions of projective invariance and demonstrate the limits of achievable performance in this regard.
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W-C. Chang, J. P. Hespanha, A.S. Morse, and G.D. Hager. Task re-encoding in vision-based control systems. In Proceedings, Conference on Design and Control, volume to appear, San Diego, CA, December 1997.
F. Chaumette, E. Malis, and S. Boudet. 2d 1/2 visual servoing with respect to a planar object. In Proc. IROS Workshop on New Trends in Image-based Robot Servoing, pages 43–52, 1997.
F. Chaumette, P. Rives, and B. Espiau. Classification and realization of the different vision-based tasks. In K. Hashimoto, editor, Visual Servoing, pages 199–228. World Scientific, 1994.
P. I. Corke. Visual control of robot manipulators—a review. In K. Hashimoto, editor, Visual Servoing, pages 1–32. World Scientific, 1994.
B. Espiau, F. Chaumette, and P. Rives. A New Approach to Visual Servoing in Robotics. IEEE Trans. on Robotics and Automation, 8:313–326, 1992.
Olivier D. Faugeras. What can be seen in three dimensions with an uncalibrated stereo rig? In Proc. ECCV, pages 563–578, 1992.
G. D. Hager. Real-time feature tracking and projective invariance as a basis for hand-eye coordination. In Proc. IEEE Conf. Comp. Vision and Patt. Recog., pages 533–539. IEEE Computer Society Press, 1994.
G. D. Hager. A modular system for robust hand-eye coordination. IEEE Trans. Robot. Automat, 13(4):582–595, 1997.
G. D. Hager and Z. Dodds. A projective framework for constructing accurate hand-eye systems. In Proc. IROS Workshop on New Trends in Image-based Robot Servoing, pages 71–82, 1997.
J. Hespanha, Z. Dodds, G. D. Hager, and A. S. Morse. What visual tasks are performable without calibration? DCS RR-1138, Yale University, New Haven, CT, October 1997.
S. Hutchinson, G. D. Hager, and P. Corke. A tutorial introduction to visual servo control. IEEE Trans. Robot. Automat, 12(5), 1996.
M. Jagersand, O. Fuentes, and R. Nelson. Experimental evaluation of uncalibrated visual servoing for precision manipulation. In Proc., ICRA, pages 2874–2880, 1997.
L. Robert, C. Zeller, and O. Faugeras. Applications of non-metric vision to some visually guided robotics tasks. Technical Report 2584, INRIA, Sophia-Antipolis, June 1995.
C. Samson, M. Le Borgne, and B. Espiau. Robot Control: The Task Function Approach. Clarendon Press, Oxford, England, 1992.
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© 1998 Springer-Verlag
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Hespanha, J., Dodds, Z., Hager, G.D., Morse, A.S. (1998). What can be done with an uncalibrated stereo system?. In: Kriegman, D.J., Hager, G.D., Morse, A.S. (eds) The confluence of vision and control. Lecture Notes in Control and Information Sciences, vol 237. Springer, London. https://doi.org/10.1007/BFb0109664
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DOI: https://doi.org/10.1007/BFb0109664
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