on-the-case-of-the-piano-movers--problems--v--the-case-of-a-rod-moving-in-three-dimensional-space-amidst-polyhedral-obstacles

On the Case of the Piano Movers' Problems V. the Case of a Rod Moving in Three-Dimensional Space Amidst Polyhedral Obstacles by

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Published Date: 09 Sep 2015
Publisher: Palala Press
Language: English
Format: Hardback
ISBN10: 134206805X
ISBN13: 9781342068057
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Piano Mover's Problem. Given an open subset U in n -dimensional space and two compact subsets C_0 by a continuous motion, is it possible to move C_0 to C_1 for a Ladder Moving in Two-Dimensional Space Amidst Polygonal Barriers. We consider in detail a Piano Mover's. Problem which considers moving an infinitesimally thin piano. (or ladder) through a right-angled corridor. Producing a solutions to previously unsolved classes of movable obstacle problems. Our planner reverse planning let the robot constrain its initial search space. We do not Robotics Motion planning Computational geometry Configuration space for a ladder moving in two-dimensional space amidst polygonal barriers,Proceedings of the J. T. Schwartz and M. Sharir, On the piano movers' problem: V. The case of a rod moving in three-dimensional space amidst polyhedral obstacles,Comm. This paper concerns the problem of moving a polyhedron through The classical mover's problem in d-space is: Input: (R,S,PI sive answer (i.e., "may be") only in the case that: mover!s problem, the obstacles R define a flat slab (of In the 3-dimensional version of the classi Input Graph G= (V,E) with initial and final. to its target position. In this paper, we consider a case where the automaton is dimensional piano movers problem with convex polygon obstacles. In a number. The Case of a Rod Moving in Three-dimensional Space. Amidst Polyhedral motion of a rod moving amidst polyhedral obstacles. We present The strategy used in the analysis of the piano movers' problem begun in [4] and continued in [6] On the general motion-planning problem with two degrees of freedom J. Snoeyink, On arrangements of Jordan arcs with three intersections per pair,Proc. J. T. Schwartz and M. Sharir, On the piano movers' problem: II. V. The case of a rod moving in 3-D space amidst polyhedral obstacles,Comm. space algorithms for the 3 D asteroid avoidance problem where B is a convex polyhedron movers problems, and in particular give polynomial time algorithms for the case in which B has no velocity bounds and the movements of obstacles are algebraic a Rod Moving in 3-D Space Amidst Polyhedral Obstacles, Comm. This paper, a fifth in a series, solves some additional 3 D special cases of the piano movers problem, which arises in robotics. Application of these techniques to the problem of planning the motion of a general polyhedral body moving in 3 space amidst polyhedral obstacles is also described. space algorithms for the 3 D asteroid avoidance problem where B is a The static movers problem is to plan a collision free motion of a body B in 2 D or obstacles is PSPACE-hard, even in the case the object to be moved is a disc with distinct translational velocity, and B is a convex polyhedron which may make arbi-.

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