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• W1983054278 abstract "We study two problems related to planar motion planning for robots with imperfect control, where, if the robot starts a linear movement in a certain commanded direction, we only know that its actual movement will be confined in a cone of angle α centered around the specified direction. First, we consider a single goal region, namely the “region at infinity”, and a set of polygonal obstacles, modeled as a set S of n line segments. We are interested in the region R α (S) from where we can reach infinity with a directional uncertainty of α. We prove that the maximum complexity of R α (S) is O( n α 5 ) . Second, we consider a collection of k polygonal goal regions of total complexity m , but without any obstacles. Here we prove an O ( k 3 m ) bound on the complexity of the region from where we can reach a goal region with a directional uncertainty of α. For both situations we also prove lower bounds on the maximum complexity, and we give efficient algorithms for computing the regions." @default.
• W1983054278 created "2016-06-24" @default.
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• W1983054278 date "1995-04-01" @default.
• W1983054278 modified "2023-09-27" @default.
• W1983054278 title "Reaching a goal with directional uncertainty" @default.
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• W1983054278 doi "https://doi.org/10.1016/0304-3975(94)00237-d" @default.
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