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Determining the Axis of a Surface of Revolution Using Tactile Sensing
October 1993 (vol. 15 no. 10)
pp. 1079-1087

Dextrous robot hands need to be able to determine the pose of objects to reliably grasp and manipulate them. The first contacts with an object can be used to provide an initial estimate of this information if the object is constrained to be of a particular class. The authors consider a simple example of exploiting class constraints: finding the axis of an unknown surface of revolution. Three tactile curvature measurements on a surface of revolution with twice-differentiable sweeping rule function are shown to be sufficient for determining the axis except for certain singular configurations. Position and orientation error uncertainties and experimental results are presented for a cylindrical tactile sensor.

[1] P. K. Allen, "Sensing and describing 3-D structure," inProc. IEEE Int. Conf. Robotics Automat., 1986, pp. 126-131.
[2] C. Meadows and S. Jajodia, "Integrity versus security in multilevel secure databases," inDatabase Security: Status and Prospects, C. E. Landwehr, Ed. Amsterdam: North-Holland, 1988, pp. 89-103.
[3] M. D. Berkemeier and R. S. Fearing, "Determining the axis of a surface of revolution using tactile sensing," Tech. Rep. UCB/ERL M89/117, UC Berkeley, Electron. Res. Lab., 1989.
[4] M. D. Berkemeier and R. S. Fearing, "Determining the axis of a surface of revolution using tactile sensing," inProc. IEEE Int. Conf. Robotics Automat., 1990, pp. 974-979.
[5] M. Brady, J. Ponce, A. Yuille, and H. Asada, "Describing surfaces," inRobotics Research: The Second International Symposium(H. Hanafusa and H. Inoue, Eds.). Cambridge, MA: MIT Press, 1985, pp. 5-15.
[6] R. Cole and C. K. Yap, "Shape from probing,"J. Algorithms, vol. 8, no. 1, pp. 19-38, Mar. 1987.
[7] R. E. Ellis, "Uncertainty estimates for polyhedral object recognition," inProc. IEEE Int. Conf. Robotics Automat., 1989, pp. 348-353.
[8] R. E. Ellis, "A tactile sensing strategy for model-based object recognition," COINS Tech. Rep., Univ. of Massachusetts, Amherst, 1987.
[9] O. D. Faugeras and M. Hebert, "The representation, recognition, and locating of 3-D objects,"Int. J. Robotics Res., vol. 5, no. 3, Fall 1986, pp. 27-52.
[10] S. Suri, "On some link distance problems in a simple polygon,"IEEE Trans. Robot. Automat., vol. 6, pp. 108-113, 1990.
[11] R. S. Fearing and T. O. Binford, "Using a cylindrical tactile sensor for determining curvature,"IEEE Trans. Robotics Automat., vol. 7, no. 6, pp. 806-817, Dec. 1991.
[12] P. C. Gaston and T. Lozano-Perez, "Tactile recognition and localization using object models: the case of polyhedra on a plane," AI memo, Mass. Inst. of Technol., 1983.
[13] W. E. L. Grimson, "On the recognition of parametrized objects," inRobotics Research: The Fourth International Symposium, R. C. Bolles and B. Roth, Eds. Cambridge, MA: MIT Press, 1988, pp. 245-253.
[14] M. M. Lipschutz,Differential Geometry. New York: McGraw-Hill, 1969.
[15] H. Printz, "Finding the orientation of a cone or cylinder," inProc. IEEE Comput. Soc. Workshop Comput. Vision, 1987.
[16] K. Rao and R. Nevatia, "Computing volume descriptions from sparse 3-D data,"Int. J. Comput. Vision, vol. 2, no. 1, pp. 33-50, June 1988.

Index Terms:
axis determination; object pose determination; position error uncertainties; surface of revolution; tactile sensing; tactile curvature measurements; twice-differentiable sweeping rule function; orientation error uncertainties; cylindrical tactile sensor; robots; signal processing; tactile sensors
M.D. Berkemeier, R.S. Fearing, "Determining the Axis of a Surface of Revolution Using Tactile Sensing," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 15, no. 10, pp. 1079-1087, Oct. 1993, doi:10.1109/34.254065
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