论文标题

行人的密度估计方法,不带空间边界的小组移动

Methods of density estimation for pedestrians moving in small groups without a spatial boundary

论文作者

Mullick, Pratik, Appert-Rolland, Cécile, Warren, William H., Pettré, Julien

论文摘要

对于一组没有任何空间边界的行人,密度估计方法是广泛的研究领域。此外,当需要沿一个给定的行人轨迹的密度以绘制“基于个体”的基本图时,存在一个特定的困难。我们说明了为什么在这种情况下有几种方法不明显。然后,我们转向广泛使用的基于Voronoi细胞的密度估计。我们表明,对于跨行人流的典型情况,必须将Voronoi方法适应较小的样本量。我们以有关在这种情况下密度测量的含义的一般性评论结束。

For a group of pedestrians without any spatial boundaries, the methods of density estimation is a wide area of research. Besides, there is a specific difficulty when the density along one given pedestrian trajectory is needed in order to plot an `individual-based' fundamental diagram. We illustrate why several methods become ill-defined in this case. We then turn to the widely used Voronoi-cell based density estimate. We show that for a typical situation of crossing flows of pedestrians, Voronoi method has to be adapted to the small sample size. We conclude with general remarks about the meaning of density measurements in such context.

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