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The relative dynamics in collision avoidance between individual pedestrians and dyads has been recently studied, and it was shown that individuals may intrude dyads that are not socially interacting. Building on this, our current study…

Physics and Society · Physics 2024-06-11 Adrien Gregorj , Zeynep Yücel , Francesco Zanlugo , Takayuki Kanda

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…

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

Extensive research in pedestrian dynamics has primarily focused on crowded conditions and associated phenomena, such as lane formation, evacuation, etc. Several force-based models have been developed to predict the behavior in these…

Physics and Society · Physics 2026-02-11 Kanika Jain , Shankar Prawesh , Indranil Saha Dalal , Anurag Tripathi

Modeling the dynamics of people walking is a problem of long-standing interest in computer vision. Many previous works involving pedestrian trajectory prediction define a particular set of individual actions to implicitly model group…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Inhwan Bae , Jin-Hwi Park , Hae-Gon Jeon

A better understanding of interactive pedestrian behavior in critical traffic situations is essential for the development of enhanced pedestrian safety systems. Real-world traffic observations play a decisive role in this, since they…

This paper reports on a data-driven, interaction-aware motion prediction approach for pedestrians in environments cluttered with static obstacles. When navigating in such workspaces shared with humans, robots need accurate motion…

Robotics · Computer Science 2018-02-27 Mark Pfeiffer , Giuseppe Paolo , Hannes Sommer , Juan Nieto , Roland Siegwart , Cesar Cadena

Accurate prediction of pedestrian and bicyclist paths is integral to the development of reliable autonomous vehicles in dense urban environments. The interactions between vehicle and pedestrian or bicyclist have a significant impact on the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-24 Apratim Bhattacharyya , Daniel Olmeda Reino , Mario Fritz , Bernt Schiele

It is suggested that the motion of pedestrians can be described as if they would be subject to `social forces'. These `forces' are not directly exerted by the pedestrians' personal environment, but they are a measure for the internal…

Statistical Mechanics · Physics 2009-10-31 Dirk Helbing , Peter Molnar

We consider a kinetic theory approach to model the evacuation of a crowd from bounded domains. The interactions of a person with other pedestrians and the environment, which includes walls, exits, and obstacles, are modeled by using tools…

Numerical Analysis · Mathematics 2019-06-17 Daewa Kim , Annalisa Quaini

As safe and comfortable interactions with pedestrians could contribute to automated vehicles' (AVs) social acceptance and scale, increasing attention has been drawn to computational pedestrian behavior models. However, very limited studies…

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

The increasing number of mass events involving large crowds calls for a better understanding of the dynamics of dense crowds. Inquiring into the possibility of a mechanical description of these dynamics, we experimentally study the crossing…

This paper develops a general force-based pedestrian model named CosForce, in which cosine functions are employed to describe asymmetric interactions. These functions implicitly capture the mechanisms of anticipation and reaction. By…

Physics and Society · Physics 2025-09-15 Jinghui Wang , Wei Lv , Shuchao Cao , Chenglin Guo

Understanding the complex behavior of pedestrians walking in crowds is a challenge for both science and technology. In particular, obtaining reliable models for crowd dynamics, capable of exhibiting qualitatively and quantitatively the…

Physics and Society · Physics 2018-04-12 Alessandro Corbetta , Luca Bruno , Adrian Muntean , Federico Toschi

Nonreciprocal interaction crowd systems, such as human-human, human-vehicle, and human-robot systems, often have serious impacts on pedestrian safety and social order. A more comprehensive understanding of these systems is needed to…

Physics and Society · Physics 2024-04-03 Shaocong Xie , Rui Ye , Xiaolian Li , Zhongyi Huang , Shuchao Cao , Wei Lv , Hong He , Ping Zhang , Zhiming Fang , Jun Zhang , Weiguo Song

Crowd flow describes the elementary group behavior of crowds. Understanding the dynamics behind these movements can help to identify various abnormalities in crowds. However, developing a crowd model describing these flows is a challenging…

Computer Vision and Pattern Recognition · Computer Science 2020-08-19 Shreetam Behera , Debi Prosad Dogra , Malay Kumar Bandyopadhyay , Partha Pratim Roy

In order to investigate collective effects of interactions between pedestrians and attractions, this study extends the social force model. Such interactions lead pedestrians to form stable clusters around attractions, or even to rush into…

Physics and Society · Physics 2017-09-07 Jaeyoung Kwak , Hang-Hyun Jo , Tapio Luttinen , Iisakki Kosonen

This study presents an initial framework for distinguishing group and single pedestrians based on real-world trajectory data, with the aim of analyzing their differences in space utilization and emergent behavioral patterns. By segmenting…

Computer Vision and Pattern Recognition · Computer Science 2025-08-27 Amartaivan Sanjjamts , Morita Hiroshi

When streets are designed according to the shared space principle, road user are encouraged to interact spontaneously with each other for negotiating the space. These interaction mechanisms do not follow clearly defined traffic rules but…

Applications · Statistics 2017-09-28 F. Pascucci , N. Rinke , C. Schiermeyer , V. Berkhahn , B. Friedrich

In a recent series of papers, we proposed a mathematical model for the dynamics of a group of interacting pedestrians. The model is based on a non-Newtonian potential, that accounts for the need of pedestrians to keep both their interacting…

Physics and Society · Physics 2017-02-13 Francesco Zanlungo , Zeynep Yucel , Takayuki Kanda