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Region-based Approximation Algorithms for Visibility between Imprecise Locations

机译:基于区域的近似算法,用于不精确位置之间的可见性

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In this paper we present new geometric algorithms for approximating the visibility between two imprecise locations amidst a set of obstacles, where the imprecise locations are modeled by continuous probability distributions. Our techniques are based on approximating distributions by a set of regions rather than on approximating by a discrete point sample. In this way we obtain guaranteed error bounds, and the results are more robust than similar results based on discrete point sets. We implemented our techniques and present an experimental evaluation. The experiments show that the actual error of our region-based approximation scheme converges quickly when increasing the complexity of the regions.
机译:在本文中,我们呈现了新的几何算法,用于在一组障碍物中近似于两个不精确位置之间的可见度,其中不精确的位置由连续概率分布建模。我们的技术基于通过一组区域近似分布而不是通过离散点样本近似。通过这种方式,我们获得了保证错误界限,结果比基于离散点集的结果更强大。我们实施了我们的技术并提出了实验评估。实验表明,在增加区域的复杂性时,基于地区的近似方案的实际误差会很快收敛。

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