论文标题
内核估计是人行人密度的一般概念
Kernel Estimates as General Concept for the Measuring of Pedestrian Density
论文作者
论文摘要
行人密度的标准定义会产生散射的值，因此已经开发出许多方法来改善估计密度的特征。本文对普通应用的方法进行了综述，并根据各种内核提出了一个通用框架，这些内核带来了所需的密度估计属性（例如，连续性），并结合了通常使用的方法。开发的内核概念将每个行人视为密度分布的来源，由内核类型（例如，高斯，锥体）和内核大小进行了参数。在实验数据上进行的定量参数研究表明，参数化带来了所需的特征，例如，（0.7，1.2）m中基本半径为基础半径的圆锥内核会产生保留趋势特征的平滑值。对于广泛的内核参数，可以实现内核和非内核方法之间的对应关系（即Voronoi图和定制的逆距离）。因此支持该概念的一般性。
The standard definition of pedestrian density produces scattered values, hence, many approaches have been developed to improve the features of the estimated density. This paper provides a review of generally applied methods and presents a general framework based on various kernels that bring desired properties of density estimates (e.g., continuity) and incorporate ordinarily used methods. The developed kernel concept considers each pedestrian as a source of density distribution, parametrized by the kernel type (e.g., Gauss, cone) and kernel size. The quantitative parametric study performed on experimental data illustrates that parametrization brings desired features, for instance, a conic kernel with a base radius in (0.7, 1.2) m produces smooth values that retain trend features. The correspondence between kernel and non-kernel methods (namely Voronoi diagram and customized inverse distance to the nearest pedestrian) is achievable for a wide range of kernel parameter. Thereby the generality of the concept is supported.
