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Closed escape path of smallest diameter in forest: dual formulation of Lebesgue's universal covering problem

Deng, Zhipeng
arXiv (All) · Papers
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metric-geometryoptimization-and-control
Lebesgue's universal covering problem asks for the minimum area convex planar region capable of containing a congruent copy of every planar set of diameter at most one. In this paper, we develop an exact dual formulation of this problem through a minimum diameter analogue of Bellman's lost-in-a-fore
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