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The realization space of geometric constraint systems is given by the vanishing locus of polynomials corresponding to natural geometric constraints. Such geometric constraint systems arise in many real-world scenarios such as structural…

Metric Geometry · Mathematics 2026-04-14 Matthias Adrian-Himmelmann

An understanding of pedestrian dynamics is indispensable for numerous urban applications including the design of transportation networks and planing for business development. Pedestrian counting often requires utilizing manual or technical…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Eric K. Tokuda , Yitzchak Lockerman , Gabriel B. A. Ferreira , Ethan Sorrelgreen , David Boyle , Roberto M. Cesar-Jr. , Claudio T. Silva

We propose a 2-dimensional cellular automaton model to simulate pedestrian traffic. It is a vmax=1 model with exclusion statistics and parallel dynamics. Long-range interactions between the pedestrians are mediated by a so called floor…

Statistical Mechanics · Physics 2009-11-07 C. Burstedde , K. Klauck , A. Schadschneider , J. Zittartz

This paper presents a mesoscopic traffic flow model that explicitly describes the spatio-temporal evolution of the probability distributions of vehicle trajectories. The dynamics are represented by a sequence of factor graphs, which enable…

Machine Learning · Statistics 2019-09-25 Saif Eddin Jabari , Deepthi Mary Dilip , DianChao Lin , Bilal Thonnam Thodi

At the macroscopic scale, many important models of collective motion fall into the class of kinematic flows for which both velocity and diffusion terms depend only on particle density. When total particle numbers are fixed and finite,…

Adaptation and Self-Organizing Systems · Physics 2022-04-12 Jeremy Worsfold , Tim Rogers , Paul Milewski

Urban intersections with mixed pedestrian and non-motorized vehicle traffic present complex safety challenges, yet traditional models fail to account for dynamic interactions arising from speed heterogeneity and collision anticipation. This…

Physics and Society · Physics 2025-10-07 Chaojia Yu , Kaixin Wang , Junle Li , Jingjie Wang

We critically discuss the concept of ``synchronized flow'' from a historical, empirical, and theoretical perspective. Problems related to the measurement of vehicle data are highlighted, and questionable interpretations are identified.…

Statistical Mechanics · Physics 2007-05-23 D. Helbing , I. Farkas , D. Fasold , M. Treiber , T. Vicsek

Microscopic pedestrian studies consider detailed interaction of pedestrians to control their movement in pedestrian traffic flow. The tools to collect the microscopic data and to analyze microscopic pedestrian flow are still very much in…

Computer Vision and Pattern Recognition · Computer Science 2016-10-04 Kardi Teknomo

Human beings face threats because of unexpected happenings, which can be avoided through an adequate crisis evacuation plan, which is vital to stop wound and demise as its negative results. Consequently, different typical evacuation…

Multiagent Systems · Computer Science 2019-11-05 Danial A. Muhammed , Soran Saeed , Tarik A. Rashid

We investigate the motion of pedestrians through obscure corridors where the lack of visibility (due to smoke, fog, darkness, etc.) hides the precise position of the exits. We focus our attention on a set of basic mechanisms, which we…

Physics and Society · Physics 2013-05-29 Emilio N. M. Cirillo , Adrian Muntean

This paper deals with a mathematical model of a pedestrian movement. A stochastic cellular automata (CA) approach is used here. The Floor Field (FF) model is a basis model. FF models imply that virtual people follow the shortest path…

Mathematical Physics · Physics 2009-06-24 Ekaterina Kirik , Tat'yana Yurgel'yan , Dmitriy Krouglov

Various oscillatory phenomena occur in the world. Because some oscillations are related to abnormal states (e.g., particular diseases), establishing state-transition methods from an oscillatory to a resting state is important. In this…

Adaptation and Self-Organizing Systems · Physics 2024-06-03 Yusuke Kato , Hiroshi Kori

For the planning of large pedestrian facilities, the movement of pedestrians in various situations has to be modelled. Many tools for pedestrian planning are based on cellular automata (CA), discrete in space and time, some use self driven…

Physics and Society · Physics 2009-12-04 B. Steffen , A. Seyfried

This study investigates the dynamics of pedestrian crossing flows with varying crossing angles $\alpha$ to classify different scenarios and derive implications for crowd management. Probability density functions of four key…

Physics and Society · Physics 2024-12-03 Pratik Mullick

We conducted numerical simulation for a crowd of pedestrians. Each pedestrian, modeled with three circles, has a shape whose long axis is perpendicular to the anteroposterior axis, and is designed to move fixed destination. The pedestrians…

Physics and Society · Physics 2022-11-24 Sho Yajima , Kiwamu Yoshii , Yutaka Sumino

Two aspects of improvements are proposed for the OpenCL-based implementation of the social field pedestrian model. In the aspect of algorithm, a method based on the idea of divide-and-conquer is devised in order to overcome the problem of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-19 Bin Yu , Ke Zhu , Kaiteng Wu , Michael Zhang

This contribution presents experimental study of two-dimensional pedestrian flow with the aim to capture the pedestrian behaviour within the cluster formed in front of the bottleneck. Two experiments of passing through a room with one…

Physics and Society · Physics 2018-01-08 Marek Bukáček , Pavel Hrabák , Milan Krbálek

When a large group of pedestrians moves around a corner, most pedestrians do not follow the shortest path, which is to stay as close as possible to the inner wall, but try to minimize the travel time. For this they accept to move on a…

Physics and Society · Physics 2009-05-28 Tobias Kretz

This study integrates pedestrian flow characteristics to formulate a mesoscopic cellular automata model tailored for simulating evacuations in large-scale scenarios. Departing from the conventional planar grid cell division, the model…

Physics and Society · Physics 2023-11-20 Wei Lv , Jinghui Wang , Zhiming Fang , Dun Mao

Predicting trajectories of pedestrians based on goal information in highly interactive scenes is a crucial step toward Intelligent Transportation Systems and Autonomous Driving. The challenges of this task come from two key sources: (1)…

Computer Vision and Pattern Recognition · Computer Science 2023-02-16 Weicheng Zhang , Hao Cheng , Fatema T. Johora , Monika Sester