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Locating Guards for Visibility Coverage of Polygons

机译:定位多边形可见性覆盖的防护装置

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We propose heuristics for visibility coverage of a polygon with the fewest point guards. This optimal coverage problem, often called the "art gallery problem", is known to be NP-hard, so most recent research has focused on heuristics and approximation methods. We evaluate our heuristics through experimentation, comparing the upper bounds on the optimal guard number given by our methods with computed lower bounds based on heuristics for placing a large number of visibility-independent "witness points". We give experimental evidence that our heuristics perform well in practice, on a large suite of input data; often the heuristics give a provably optimal result, while in other cases there is only a small gap between the computed upper and lower bounds on the optimal guard number.
机译:我们提出了具有最少点卫兵的多边形的可见性覆盖的启发式。这种最佳覆盖问题,通常被称为“艺术画廊问题”,被称为NP-Hard,因此最近的研究专注于启发式和近似方法。我们通过实验评估我们的启发式,比较我们的方法对我们的方法给出的最佳防护号码上的上限,基于启发式的计算机的下限放置大量无关的“见证点”。我们给出了实验证据,即我们的启发式在实践中表现得很好,在大型输入数据上;常常启发式赋予可透明的最佳结果,而在其他情况下,在最佳警卫号上的计算上限和下限之间只有一个小的间隙。

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