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• W1949142875 abstract "We study the consequences of two of the realistic input models proposed in the literature, namely unclutteredness and small simple-cover complexity, for the motion planning problem. We show that the complexity of the free space of a bounded-reach robot with f degrees of freedom is O(n f/2) in the plane, and O(n 2f/3) in three dimensions, for both uncluttered environments and environments of small simple-cover complexity. We also give an example showing that these bounds are tight in the worst case. Our bounds fit nicely between the θ(nf) bound for the maximum free-space complexity in the general case, and the θ(n) bound for low-density environments." @default.
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• W1949142875 date "1998-01-01" @default.
• W1949142875 modified "2023-09-27" @default.
• W1949142875 title "Models and motion planning" @default.
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• W1949142875 doi "https://doi.org/10.1007/bfb0054357" @default.
• W1949142875 hasPublicationYear "1998" @default.
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