Title: Vision-based macroscopic pedestrian models Show Chinese title

Title: 基于视觉的宏观行人模型

Abstract: We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier work where the dangerousness level of an interaction with another pedestrian is measured in terms of the derivative of the bearing angle (angle between the walking direction and the line connecting the two subjects) and of the time-to-interaction (time before reaching the closest distance between the two subjects). A mean-field kinetic model is derived. Then, three different macroscopic continuum models are proposed. The first two ones rely on two different closure assumptions of the kinetic model, respectively based on a monokinetic and a von Mises-Fisher distribution. The third one is derived through a hydrodynamic limit. In each case, we discuss the relevance of the model for practical simulations of pedestrian crowds. Show Chinese abstract

Abstract: 我们提出了一种用于由大量相互作用行人组成的系统的层次化动力学和宏观模型。 基本的交互规则来源于早期的研究，其中与另一行人交互的危险程度是根据方位角的导数（行走方向与两个主体连线之间的角度）以及交互时间（到达两个主体之间最近距离前的时间）来衡量的。 推导出一个平均场动力学模型。 然后，提出了三种不同的宏观连续模型。 前两种模型分别基于动力学模型的两种不同的闭合假设，分别基于单动力学分布和冯·米塞斯-费舍尔分布。 第三种模型则是通过流体动力学极限推导得出的。 在每种情况下，我们讨论了该模型在行人人群实际模拟中的适用性。