Autonomous robot calibration is defined as the process of determining a robot's model by using only its internal sen sors. It is shown that autonomous calibration of a manip ulator and stereo camera system is possible. The pro posed autonomous calibration algorithm may obtain the manipulator kinematic parameters, external kinematic camera parameters, and internal camera parameters. To do this, only joint angle readings and camera image plane data are used. A condition for the identifiability of the manipulator/camera parameters is derived. The method is a generalization of a recently developed scheme for self- calibrating a manipulator by forming it into a mobile closed-loop kinematic chain.
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References
1.
Abdel-Aziz, Y.I., and Karara, H.M.1971. Direct linear transformation into object space coordinates in close-range photogrammetry. Symposium on Close-Range Photogrammetry. Urbana, Ill.: University of Illinois at Urbana-Champaign, pp. 1-18.
2.
An, C.H., Atkeson, C.G., and Hollerbach, J.M.1988. Model-based Control of a Robot Manipulator. Cambridge, Mass.: MIT Press.
3.
Bennett, D.J.1990. The Control of Human Arm Movement: Models and Mechanical Constraints. Ph.D. thesis. Dept. of Brain and Cognitive Sciences, Massachusetts Institute of Technology.
4.
Bennett, D.J., and Hollerbach, J.M.1988 (Austin. Tex., Dec. 7-9). Self-calibration of single-loop, closed kinematic chains formed by dual or redundant manipulators. Proc. 27th IEEE Conf. Decision and Control, pp. 627-629.
5.
Bennett, D.J., and Hollerbach, J.M.1989a (Scottsdale, Ariz., May 14-19). Identifying the kinematics of robots and their tasks. Proc. IEEE Int. Conf. Robotics and Automation, pp. 580-586.
6.
Bennett, D.J., and Hollerbach, J.M.1989b (Columbus, Ohio, June 13-15). Identifying the kinematics of non-redundant serial chain manipulators by a closed-loop approach. Proc. Fourth International Conference on Advanced Robotics In press.
7.
Brooks, R.A., Flynn, A.M., and Marill, T.1988. Self calibration of motion and stereo for mobile robots . In Bolles, R., and Roth, B. (eds.): Robotics Research: The Fourth International Symposium. Cambridge, Mass.: MIT Press, pp. 277-286.
8.
Denavit, J., and Hartenberg, R.S.1955. A kinematic notation for lower pair mechanisms based on matrices. J. Appl. Mechanics22:215-221.
9.
Duda, R.O., and Hart, P.E.1973. Pattern Recognition and Scene Analysis. New York: Wiley.
10.
Ganapathy, S.1984 (Altanta). Decomposition of transformation matrices for robot vision. Proc. IEEE Int. Conf. Robotics and Automation, pp. 130-139.
11.
Gremban, K.D., Thorpe, C.E., and Kanade, T.1988 (Philadelphia, April 24-29). Geometric camera calibration using systems of linear equations. Proc. IEEE Int. Conf. Robotics and Automation, pp. 562-567.
12.
Haralick, R.M.1980. Using perspective transformations in scene analysis . Comp. Graphics Image Process.13:191-221.
13.
Hayati, S.A.1983 (San Antonio, Dec. 14-16). Robot arm geometric link parameter estimation. Proc. 22nd IEEE Conf. Decision and Control, pp. 1477-1483.
14.
Hollerbach, J.M.1989. A survey of kinematic calibration. In Khatib, O., Craig, J. J. , and Lozano-Pérez, T. (eds.): Robotics Review 1988. Cambridge, Mass.: MIT Press.
15.
Horn, B.K.P.1986. Robot Vision. Cambridge, Mass. : MIT Press.
16.
Isaguirre, A., Pu, P., and Summers, J.1985 (St. Louis, March 25-28). A new development in camera calibration: Calibration of a pair of mobile cameras . IEEE Int. Conf. Robotics and Automation, pp. 74-79.
Martins, H.A., Birk, J.R., and Kelley, R.B.1981. Camera models based on data from two calibrated planes . Comp. Graphics Image Process.17:173-180.
19.
Moffitt, F., and Mikhail, E.1980. PhotogrammetryNew York: Harper and Row.
20.
Niemeyer, G., and Slotine, J-J. E.1988 (Austin, Tex., Dec. 7-9). Performance in adaptive manipulator control. Proc. 27th IEEE Conf. Decision and Control, pp. 1585-1591.
21.
Norton, J.P.1986. An Introduction to IdentificationOrlando, Fla.: Academic Press.
22.
Puskorius, G.V., and Feldkamp, L.A.1987 (Raleigh, N.C., March 31-April 3). Global calibration of a robot/ vision system. Proc. IEEE Int. Conf. Robotics and Automation, pp. 190-195.
23.
Sobel, I.1974. On calibrating computer controlled cameras for perceiving 3-D scenes. Artif. Intell.5:185-198.
24.
Tsai, R.Y.1986 (Miami). An efficient and accurate camera calibration technique for 3-D machine vision. Proc. IEEE Conf. on Computer Vision and Pattern Recognition, pp. 364-374.
25.
Tsai, R.Y.1989. Synopsis of recent progress on camera calibration for 3D machine vision. In Khatib, O., Craig, J. J., and Lozano-Pérez, T. (eds.): Robotics Review 1988. Cambridge, Mass.: MIT Press.
26.
Torre, V., Verri, A., and Fiumicelli, A.1986. Stereo accuracy for robotics. In Faugeras, O., and Giralt, G. (eds.): Robotics Research: The Third International Symposium . Cambridge, Mass.: MIT Press, pp. 5-10.
27.
Whitney, D.E.1972. The mathematics of coordinated control of prosthetic arms and manipulators. ASME J. Dyn. Sys. Meas. Control303-309.
28.
Yakimovsky, Y., and Cunningham, R.1978. A system for extracting three dimensional measurements from a stereo pair of TV cameras. Comp. Graphics Image Process.7:195-210.
29.
Ziemann, H.1985 (Washington, D.C., March 10-15). A mathematical model for camera calibration. Technical Papers, 51st Annual American Society of Photogrammetry Meeting, pp. 725-735.
