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Related papers: Vision-based macroscopic pedestrian models

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The pedestrian flow is one of the most complex systems, involving large populations of interacting agents. Models at microscopic and macroscopic scales offer different advantages for studying related problems. In general, microscopic models…

Adaptation and Self-Organizing Systems · Physics 2026-01-27 Liangze Yang , Hui Yu , Jie Du

In this paper we present numerical simulations of a macroscopic vision-based model [1] derived from microscopic situation rules described in [2]. This model describes an approach to collision avoidance between pedestrians by taking…

Numerical Analysis · Mathematics 2018-04-09 N. K. Mahato , A. Klar , S. Tiwari

We derive a hierarchy of kinetic and macroscopic models from a noisy variant of the heuristic behavioral Individual-Based Model of Moussaid et al, PNAS 2011, where the pedestrians are supposed to have constant speeds. This IBM supposes that…

Mathematical Physics · Physics 2017-09-20 Pierre Degond , Cécile Appert-Rolland , Mehdi Moussaid , Julien Pettré , Guy Theraulaz

In recent years modelling crowd and evacuation dynamics has become very important, with increasing huge numbers of people gathering around the world for many reasons and events. The fact that our global population grows dramatically every…

Physics and Society · Physics 2015-01-28 Mohamed H. Dridi

In this paper we study a kinetic model for pedestrians, who are assumed to adapt their motion towards a desired direction while avoiding collisions with others by stepping aside. These minimal microscopic interaction rules lead to complex…

Physics and Society · Physics 2018-02-27 Adriano Festa , Andrea Tosin , Marie-Therese Wolfram

We investigate a stochastic model hierarchy for pedestrian flow. Starting from a microscopic social force model, where the pedestrians switch randomly between the two states stop-or-go, we derive an associated macroscopic model of…

Probability · Mathematics 2019-12-13 Simone Göttlich , Stephan Knapp , Peter Schillen

Due to the inherent safety concerns associated with traffic movement in unconstrained two-dimensional settings, it is important that pedestrians' and other modes' movements such as bicyclists are modeled as a risk-taking stochastic dynamic…

Physics and Society · Physics 2024-07-30 Mohaiminul Haque , Samer Hamdar , Alireza Talebpour

Microscopic Pedestrian Simulation Model is computer simulation model of pedestrian movement where every pedestrian in the model is treated as individual. Most of pedestrian researches have been done on macroscopic level, which does not…

Multiagent Systems · Computer Science 2016-09-08 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura

This paper deals with the modeling and mathematical analysis of vehicular traffic phenomena according to a kinetic theory approach, where the microscopic state of vehicles is described by: (i) position, (ii) velocity, as a continuous…

Analysis of PDEs · Mathematics 2021-03-26 J. Calvo , J. Nieto , M. Zagour

We give an overview of time-continuous pedestrian models with a focus on data-driven modelling. Starting from pioneer, reactive force-based models we move forward to modern, active pedestrian models with sophisticated collision-avoidance…

Physics and Society · Physics 2023-10-25 Raphael Korbmacher , Alexandre Nicolas , Antoine Tordeux , Claudia Totzeck

In this paper we propose a novel macroscopic (fluid dynamics) model for describing pedestrian flow in low and high density regimes. The model is characterized by the fact that the maximal density reachable by the crowd - usually a fixed…

Dynamical Systems · Mathematics 2025-04-03 Laura Bartoli , Simone Cacace , Emiliano Cristiani , Roberto Ferretti

For the modelling of pedestrian dynamics we treat persons as self-driven objects moving in a continuous space. On the basis of a modified social force model we qualitatively analyze the influence of various approaches for the interaction…

Physics and Society · Physics 2007-05-23 Armin Seyfried , Bernhard Steffen , Thomas Lippert

The motion of pedestrian crowds (e.g. for simulation of an evacuation situation) can be modeled as a multi-body system of self driven particles with repulsive interaction. We use a few simple situations to determine the simplest allowed…

Physics and Society · Physics 2009-12-04 B. Steffen

This paper proposes a crowd dynamic macroscopic model grounded on microscopic phenomenological observations which are upscaled by means of a formal mathematical procedure. The actual applicability of the model to real world problems is…

Mathematical Physics · Physics 2016-11-07 Luca Bruno , Alessandro Corbetta , Andrea Tosin

This paper deals with the early results of a new model of pedestrian flow, conceived within a measure-theoretical framework. The modeling approach consists in a discrete-time Eulerian macroscopic representation of the system via a family of…

Mathematical Physics · Physics 2011-03-29 Benedetto Piccoli , Andrea Tosin

Dense pedestrian crowds may pose significant safety risks, yet their underlying dynamics remain insufficiently understood to reliably prevent accidents. In these environments, physical interactions and contact forces fundamentally shape the…

Physics and Society · Physics 2025-05-12 Thomas Chatagnon , Antoine Tordeux , Mohcine Chraibi

We develop predictive models of pedestrian dynamics by encoding the coupled nature of multi-pedestrian interaction using game theory, and deep learning-based visual analysis to estimate person-specific behavior parameters. Building…

Computer Vision and Pattern Recognition · Computer Science 2017-03-29 Wei-Chiu Ma , De-An Huang , Namhoon Lee , Kris M. Kitani

In this article an anisotropic interaction model avoiding collisions is proposed. Starting point is a general isotropic interacting particle system, as used for swarming or follower-leader dynamics. An anisotropy is induced by rotation of…

Analysis of PDEs · Mathematics 2020-08-17 Claudia Totzeck

In this paper we deal with pedestrian modeling, aiming at simulating crowd behavior in normal and emergency scenarios, including highly congested mass events. We are specifically concerned with a new agent-based, continuous-in-space,…

Adaptation and Self-Organizing Systems · Physics 2023-11-23 E. Cristiani , M. Menci , A. Malagnino , G. G. Amaro

Modeling of crowds of pedestrians has been considered in this paper from different aspects. Based on fractional microscopic model that may be much more close to reality, a fractional macroscopic model has been proposed using conservation…

Adaptation and Self-Organizing Systems · Physics 2016-02-04 Ke-cai Cao , YangQuan Chen , Dan Stuart
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