Measuring Pedestrian Density for Dense and Sparse Crowds with High Resolution
Here we propose a new approach for computing continuous distribution of the pedestrian density based on random Brownian motion.We propose to compute the smooth density distribution of pedestrians as a solution to the Cauchy problem for the diffusion equation with the boundary conditions defined by area shape (e.g.impenetrable walls etc.) and the initial value stated by pedestrian coordinates.The calculated density is continuous and smooth and corresponds to the spatial distribution of places visited by a hypothetical random walker, whose movements are bound by a distance to a nearest obstacle or a next neighbor.The method naturally considers complex spatial boundaries, is not related to any grid and avoids typical border-relevant problems where standard methods fail if high density is reached at cell borders.It is solely based on instant pedestrian coordinates and topology of the area of interest and does not involve any arbitrary chosen parameters.Last but not least,effective and robust calculation methods exist for each calculation step.
pedestrian density real-life scenario high resolution Brownian motion
Maria Davidich Eugene Postnikov
Siemens AG, MO CS PLM MDS, Krauss-Maffei-Str.2, 80997 Munich, Germany Department of Theoretical Physics, Kursk State University, Radishcheva st., 33, 305000, Kursk, Russi
国际会议
The 8th International Conference on Pedestrian and Evacuation Dynamics (第八届行人与疏散动力学国际学术会议)
合肥
英文
583-586
2016-10-17（万方平台首次上网日期，不代表论文的发表时间）