TY - GEN
T1 - Efficient algorithms for exact motion planning amidst fat obstacles
AU - van der Stappen, A. Frank
AU - Halperin, Dan
AU - Overmars, Mark H.
PY - 1993
Y1 - 1993
N2 - The complexity of exact motion planning algorithms highly depends on the complexity of the robot's free space, i.e., the set of all collision-free placements of the robot. Theoretically, the complexity of the free space can be very high. In practice, the complexity of the free space tends to be much smaller. We show that, under some realistic assumptions, the complexity of the free space of a robot moving amidst fat obstacles is linear in the number of obstacles. The complexity results lead to efficient algorithms for motion planning amidst fat obstacles.
AB - The complexity of exact motion planning algorithms highly depends on the complexity of the robot's free space, i.e., the set of all collision-free placements of the robot. Theoretically, the complexity of the free space can be very high. In practice, the complexity of the free space tends to be much smaller. We show that, under some realistic assumptions, the complexity of the free space of a robot moving amidst fat obstacles is linear in the number of obstacles. The complexity results lead to efficient algorithms for motion planning amidst fat obstacles.
UR - http://www.scopus.com/inward/record.url?scp=0027147648&partnerID=8YFLogxK
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AN - SCOPUS:0027147648
SN - 0818634529
T3 - Proceedings - IEEE International Conference on Robotics and Automation
SP - 297
EP - 304
BT - Proceedings - IEEE International Conference on Robotics and Automation
A2 - Anon, null
PB - Publ by IEEE
Y2 - 2 May 1993 through 6 May 1993
ER -