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New computational method for three-fingered force-closure test

Published online by Cambridge University Press:  05 December 2013

Nattee Niparnan ,
Thanathorn Phoka ,
Yuttana Suttasupa  and
Attawith Sudsang
Nattee Niparnan
Affiliation:
Department of Computer Engineering, Faculty of Engineering, Chulalongkorn University, 10330, Thailand
Thanathorn Phoka
Affiliation:
Department of Computer Engineering, Faculty of Engineering, Chulalongkorn University, 10330, Thailand
Yuttana Suttasupa
Affiliation:
Department of Computer Engineering, Faculty of Engineering, Chulalongkorn University, 10330, Thailand
Attawith Sudsang*
Affiliation:
Department of Computer Engineering, Faculty of Engineering, Chulalongkorn University, 10330, Thailand
*
*Corresponding author. E-mail: attawith@gmail.com
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Summary

This paper proposes an efficient implementation of a force-closure test for frictional three-finger grasps. The implementation is based on a condition that transforms force-closure testing into the problem of convex hull intersection in projective space. The proposed implementation further reduces the problem into the problem of computing whether a line segment intersects a convex hull of at most four points. Implementation results are presented along with a thorough performance analysis and comparison with several existing methods. The results are also verified with arbitrary precision floating point computation. This provides comparison of qualitative error resulting from floating point roundoff. The result shows that the proposed implementation outperforms other methods in terms of speed and precision.

Keywords

GraspingForce closureProjective geometry
Type
Articles
Information
Robotica , Volume 32 , Issue 6 , September 2014 , pp. 867 - 887
Copyright
Copyright © Cambridge University Press 2013 

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