Coordinated Motion Planning for Two Independent Robots

Cover Coordinated Motion Planning for Two Independent Robots
Coordinated Motion Planning for Two Independent Robots
Micha Sharir
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. , Bjfc are it planar discs (or k planar Stanford arms), then our technique would yield an 0{C(k)n^) algorithm for calculating FP(Bi, . . . , 5t), thus reproducing, and generalizing, the results of [RA]. The constant C(k) will in general be quite large. The recent results of [Ca] suggest that it might be only singly exponential in k.
REFERENCES [ASS] P. Agarwal, M. Sbarir and P. Shor, Sharp upper and lower bounds for the length of general Davenport Schinzel sequences, Tech. Rept. 332, Comp. Sc
...i. Dept. , Courant Institute, November 1987.
[AS] B. Aronov and M. Sharir, Triangles in space, or: Building (and analyzing) castles in the sky, Proc. 4th ACM Symp. On Computational Geometry, 1988.
[Ca] J. Canny, The complexity of robot motion planning, Ph. D. Dissertation, Comp. Sci. Dept. , M. I. T. , May 1987.
[EL] M. Erdman and T. Lozano-Perez, On multiple moving objects, Algorithmica 2 (1987) pp. 477-521.
[FWY] S. Fortune, G. Wilfong and C. Yap, Coordinated motion of two robot arms, Proc. IEEE Conference on Robotics and Automation, pp.


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