An algorithm for planning collision-free paths among polyhedral obstacles
Communications of the ACM
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SCG '88 Proceedings of the fourth annual symposium on Computational geometry
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AAAI'91 Proceedings of the ninth National conference on Artificial intelligence - Volume 2
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This paper concerns the motion of moving a polyhedral object while maintaining contact with a set of stationary polyhedral objects. A method is developed for deriving a sequence of compliant-guarded motions in order to move an object from an initial configuration to a final configuration while it is in contact. This sequence is derived from a sequence of spatial relationships among the features of the objects. The construction of a graph of spatial relationships representing the space where the object is in contact with its environment is described. This is done using a geometric reasoning system which is able to find a relationship equivalent to a conjunction of two relationships and to construct the new features among which the new relationship holds.