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Geometric modelling of boundless grasps

Published online by Cambridge University Press:  09 March 2009

Y.L. Xiong ,
D.J. Sanger  and
D.R. Kerr
Y.L. Xiong
Affiliation:
Department of Aeronautical and Mechanical Engineering, University of Salford, Salford M5 4WT (U.K.)
D.J. Sanger
Affiliation:
Department of Aeronautical and Mechanical Engineering, University of Salford, Salford M5 4WT (U.K.)
D.R. Kerr
Affiliation:
Department of Aeronautical and Mechanical Engineering, University of Salford, Salford M5 4WT (U.K.)
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Summary

This paper describes the development of the topological and geometric approach to the analysis and synthesis of form-closed grasps of arbitrary objects. Concepts of wrench spaces and the relevant subsets of the positive cone, the affine hull, the convex huli, and the related polar cone are used, and applied to a representative example.

Keywords

Geometric modellingBoundless graspsArbitrary objects.
Type
Research Article
Information
Robotica , Volume 11 , Issue 1 , January 1993 , pp. 19 - 26
Copyright
Copyright © Cambridge University Press 1993

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References

1.Lakshiminarayana, K., “Mechanics of Form Closure” ASME Paper No. 78-DET-32 (1978).Google Scholar
2.Trinkle, J.C., Abel, A.M. and Paul, R.P., “An Investigation of Frictionless Enveloping Grasping in the Plane” Int. J. Robotics Research 7, No. 3, 33–51 (1988).CrossRefGoogle Scholar
3.Nguyen, V.D., “Constructing Force-Closure Grasps” Int. J. Robotics Research 7, No. 3, 1–16 (1988).CrossRefGoogle Scholar
4.Mishra, B., Schwartz, J.T. and Sharir, M., “On the Existence of Multifinger Positive Grips” Algorithmica 2, 541–558 (1987).CrossRefGoogle Scholar
5.Li, Z.X. and Sastry, S.S., “Task-Oriented Optimal Grasping by Multifingered Robot Hands” IEEE J. Robotics and Automation 4, 32–43 (1988).CrossRefGoogle Scholar
6.Cutkosky, M.R., Robotic Grasping and Fine Manipulation (Kluwer Academic Publications, USA, 1985).CrossRefGoogle Scholar
7. Jameseon, J., Analytic Techniques of Automatic Grasp (PhD Dissertation, Dept of Mech Eng. Stanford University, Stanford, CA, USA, 1985).Google Scholar
8.Kerr, D.R. and Sanger, D.J., “The Analysis of Kinematic Restraint” Proceedings of the Sixth World Congress on the Theory of Machines and Mechanisms. New Delhi, India299–303 (1983).Google Scholar
9.Kerr, D.R. and Sanger, D.J., “The Synthesis of Point Contact Restraint of a Rigid Body” ASME J. Mechanisms, Transmissions and Automation in Design 107, 521–525 (1985).CrossRefGoogle Scholar
10.Xiong, Y.L., Computer Geometry: Theory and Applications (in Chinese) (HUST Press, Wuhan, Hubei, China, 1989).Google Scholar
11.Salisbury, J.K. and Roth, B., “Kinematic and Force Analysis of Articulated Mechanical Hands” ASME J. Mechanical Design 105, 35–41 (1983).Google Scholar
12.Rockafeller, R.T., Convex Analysis (Princeton University Press, Princeton NJ, USA, 1970).CrossRefGoogle Scholar
13.Xiong, Y.L., Sanger, D.J. and Kerr, D.R., “The Geometric Modelling of Bounded and Frictional Grasps” (Robotica, in Press).CrossRefGoogle Scholar