Abstract
This paper introduces a principle to guide the design of finger form: invariance of contact geometry over some continuum of varying shape and/or pose of the grasped object in the plane. Specific applications of this principle include scale-invariant and pose-invariant grasps. Under specific conditions, the principle gives rise to spiral shaped fingers, including logarithmic spirals and straight lines as special cases. The paper presents a general technique to solve for finger form, given a continuum of shape or pose variation and a property to be held invariant. We apply the technique to derive scale-invariant and pose-invariant grasps for disks, and we also explore the principle’s application to many common devices from jar wrenches to rock-climbing cams.
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Rodriguez, A., Mason, M.T. (2010). Grasp Invariance. In: Hsu, D., Isler, V., Latombe, JC., Lin, M.C. (eds) Algorithmic Foundations of Robotics IX. Springer Tracts in Advanced Robotics, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17452-0_19
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DOI: https://doi.org/10.1007/978-3-642-17452-0_19
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17451-3
Online ISBN: 978-3-642-17452-0
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