Abstract
Aclamping hand has two opposing parallel edges; the distance between them can vary. We define what it means for the edges of a clamping hand and some edges of a polygon to form aclamp on the polygon. We conjecture that any polygon can be clamped by a hand if its edges are of positive length, but only provide proofs that clamps must exist for convex polygons and for certain polygons composed of two convex chains. The proofs involve extensive case analyses, and it is not obvious how to generalize them.
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References
Albertson M, Haas R, O'Rourke J (1990) some results on clamping a polygon. Computer Science Report 3. Smith College, Northampton, MA
Baker BS, Fortune SJ, Grosse EH (1985) Stable prehension with a multi-fingered hand: extended abstract. Proceedings IEEE International Conference on Robotics and Automation, St. Louis, MO., pp 114–120
Dufay B, Laugier C (1983) Geometrical reasoning in automatic grasping and contact analysis. Advances in CAD/CAM, North-Holland, Amsterdam pp 473–482
Hanafusa H, Asada H (1977) Stable prehension by a robot hand with elastic fingers. Proceedings 7th International Symposium on Industrial Robots, pp 361–368, Tokyo
Mason MT, Goldberg KY, Taylor RH (1988) Planning sequences of squeeze-grasps to orient and grasp polygonal objects. Computer Science Report #127, Carnegie Mellon University, Pittsburgh Pa.
Mishra B, Schwartz JT, Sharir M (1987) On the existence and synthesis of multifinger positive grips. Algorithmica 2:541–588
Nguyen V-D (1985) The synthesis of stable grasps in the plane. Massachusetts Institute of Technology A.I. Memo 862, Cambridge, Ma
Salisbury JK (1984) Design and control of an articulated hand. Proceedings 1 st Internatioal Symposium on Design and Synthesis, Tokyo
Souvaine DL, Van Wyk CJ (1989) Clamping a polygon. Research Report #98, Rutgers University Laboratory for Computer Science (revised), New Brunswick, N.J.
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Souvaine, D.L., Van Wyk, C.J. Clamping a polygon. The Visual Computer 10, 484–494 (1994). https://doi.org/10.1007/BF01910638
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DOI: https://doi.org/10.1007/BF01910638