Math @ Duke
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Publications [#10034] of John Harer
Papers Published
- P. Agarwal, A. Collins and J. Harer, Minimal Trap Design,
Proceedings of the 2001 IEEE International Conference on Robotics and Automation (ICRA),
(2001)
(last updated on 2004/12/15)
Abstract: This paper addresses the issue of trap
design for sensor-less automated assembly.
First we present a simple algorithm that
determines in O(nm \alpha(nm)log(nm)) time
whether an n-sided polygon part will fall
through an m-sided polygonal trap. We then
introduce the notion of a minimal trap for a
polygon part, and develop an algorithm to
design a family of minimal feeders built from
these traps. The algorithm runs in O(k
n^{3+\epsilon}) time, where k is the number
of stable orientations of P. Moreover, it is
complete in the sense that we can always find
a feeder, provide that one exists, that
rejects and supports any chosen poses of the
part.
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