In this paper, we examine non-stretchable two-dimensional polygonal cloth, and place bounds on the number of fingers needed to immobilize it. For any non-stretchable cloth polygon, it is always necessary to pin all of the convex vertices. We show that for some shapes, more fingers are necessary. No more than one-third of the concave vertices need to be pinned for simple polygons, and no more than one-third of the concave vertices plus two fingers per hole are necessary for polygons with holes. © 2010 The Author(s).
CITATION STYLE
Bell, M., & Balkcom, D. (2010). Grasping non-stretchable cloth polygons. International Journal of Robotics Research, 29(6), 775–784. https://doi.org/10.1177/0278364909344634
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