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We propose a calibrated two-dimensional cellular automaton model to simulate pedestrian motion behavior. It is a v=4 (3) model with exclusion statistics and random shuffled dynamics. The underlying regular grid structure results in a…

Physics and Society · Physics 2021-04-01 Michael Schultz , Hartmut Fricke

Most microscopic pedestrian navigation models use the concept of "forces" applied to the pedestrian agents to replicate the navigation environment. While the approach could provide believable results in regular situations, it does not…

Machine Learning · Computer Science 2020-04-24 Thanh-Trung Trinh , Dinh-Minh Vu , Masaomi Kimura

The proposed stochastic model for pedestrian dynamics is based on existing approaches using cellular automata, combined with substantial extensions, to compensate the deficiencies resulting of the discrete grid structure. This agent motion…

Physics and Society · Physics 2021-04-01 Michael Schultz

For the simulation of pedestrians a method is introduced to find routing alternatives from any origin position to a given destination area in a given geometry composed of walking areas and obstacles. The method includes a parameter which…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Karsten Lehmann , Ingmar Hofsäß

We consider a search problem on a $2$-dimensional infinite grid with a single mobile agent. The goal of the agent is to find her way home, which is located in a grid cell chosen by an adversary. Initially, the agent is provided with an…

Discrete Mathematics · Computer Science 2019-07-16 Anders Martinsson , Jara Uitto

We propose a novel scene representation that encodes reaching distance -- the distance between any position in the scene to a goal along a feasible trajectory. We demonstrate that this environment field representation can directly guide the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Xueting Li , Shalini De Mello , Xiaolong Wang , Ming-Hsuan Yang , Jan Kautz , Sifei Liu

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

The contribution gives a micro-structural insight into the pedestrian decision process during an egress situation. A method how to extract the decisions of pedestrians from the trajectories recorded during the experiments is introduced. The…

Multiagent Systems · Computer Science 2018-01-08 Pavel Hrabák , Ondřej Ticháček , Vladimíra Sečkárová

This paper presents an algorithm for local motion planning in environments populated by moving elliptical obstacles whose velocity, shape and size are fully known but may change with time. We base the algorithm on a collision avoidance…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Martin Braquet , Efstathios Bakolas

In this paper, we address the problem of modeling the traffic flow of a heritage city whose streets are represented by a network. We consider a mean field approach where the standard forward backward system of equations is also intertwined…

Optimization and Control · Mathematics 2019-09-09 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

Recently the dynamic distance potential field (DDPF) was introduced as a computationally efficient method to make agents in a simulation of pedestrians move rather on the quickest path than the shortest. It can be considered to be an…

Multiagent Systems · Computer Science 2009-11-20 Tobias Kretz

This paper proposes a motion control scheme for robots operating in a dynamic environment with concave obstacles. A Model Predictive Controller (MPC) is constructed to drive the robot towards a goal position while ensuring collision…

Robotics · Computer Science 2023-03-29 Albin Dahlin , Yiannis Karayiannidis

The problem of mixed static and dynamic obstacle avoidance is essential for path planning in highly dynamic environment. However, the paths formed by grid edges can be longer than the true shortest paths in the terrain since their headings…

Artificial Intelligence · Computer Science 2021-03-01 Junxiao Xue , Xiangyan Kong , Bowei Dong , Mingliang Xu

We propose Occupancy Flow Fields, a new representation for motion forecasting of multiple agents, an important task in autonomous driving. Our representation is a spatio-temporal grid with each grid cell containing both the probability of…

Robotics · Computer Science 2022-03-09 Reza Mahjourian , Jinkyu Kim , Yuning Chai , Mingxing Tan , Ben Sapp , Dragomir Anguelov

This contribution proposes a method to make agents in a microscopic simulation of pedestrian traffic walk approximately along a path of estimated minimal remaining travel time to their destination. Usually models of pedestrian dynamics are…

Physics and Society · Physics 2014-07-15 Tobias Kretz , Andree Grosse , Stefan Hengst , Lukas Kautzsch , Andrej Pohlmann , Peter Vortisch

In this paper we consider a mean field approach to modeling the agents flow over a transportation network. In particular, beside a standard framework of mean field games, with controlled dynamics by the agents and costs mass-distribution…

Optimization and Control · Mathematics 2020-06-18 Fabio Bagagiolo , Rosario Maggistro , Raffaele Pesenti

Faster rendering of synthetic images is a core problem in the field of computer graphics. Rendering algorithms, such as path-tracing is dependent on parameters like size of the image, number of light bounces, number of samples per pixel,…

Graphics · Computer Science 2023-06-29 Annada Prasad Behera , Subhankar Mishra

We consider discrete dynamical systems of "ant-like" agents engaged in a sequence of pursuits on a graph environment. The agents emerge one by one at equal time intervals from a source vertex $s$ and pursue each other by greedily attempting…

Discrete Mathematics · Computer Science 2019-08-09 Michael Amir , Alfred M. Bruckstein

This paper gives an introduction to the problem of mapping simple polygons with autonomous agents. We focus on minimalistic agents that move from vertex to vertex along straight lines inside a polygon, using their sensors to gather local…

Computational Geometry · Computer Science 2018-12-10 Jérémie Chalopin , Shantanu Das , Yann Disser , Matúš Mihalák , Peter Widmayer

We present a novel approach called Optimized Directed Roadmap Graph (ODRM). It is a method to build a directed roadmap graph that allows for collision avoidance in multi-robot navigation. This is a highly relevant problem, for example for…

Robotics · Computer Science 2025-04-25 Christian Henkel , Marc Toussaint
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