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We introduce a non-parametric density estimator deemed Radial Voronoi Density Estimator (RVDE). RVDE is grounded in the geometry of Voronoi tessellations and as such benefits from local geometric adaptiveness and broad convergence…

Crowd simulation is used for evacuation and crowd safety inspections, study of performance in crowd systems and animations. Cellular automata has been extensively used in modelling the crowd. In regular cellular automata models, each…

Other Computer Science · Computer Science 2014-06-16 Siamak Sarmady , Fazilah Haron , Abdullah Zawawi Talib

Voronoi tessellations have been used to model the geometric arrangement of cells in morphogenetic or cancerous tissues, however so far only with flat hypersurfaces as cell-cell contact borders. In order to reproduce the experimentally…

Biological Physics · Physics 2009-12-02 Martin Bock , Amit Kumar Tyagi , Jan-Ulrich Kreft , Wolfgang Alt

The empirical relation between density and velocity of pedestrian movement is not completely analyzed, particularly with regard to the `microscopic' causes which determine the relation at medium and high densities. The simplest system for…

Physics and Society · Physics 2009-11-11 Armin Seyfried , Bernhard Steffen , Wolfram Klingsch , Maik Boltes

Communication-enabled devices routinely carried by individuals have become pervasive, opening unprecedented opportunities for collecting digital metadata about the mobility of large populations. In this paper, we propose a novel methodology…

Networking and Internet Architecture · Computer Science 2018-11-01 Ghazaleh Khodabandelou , Vincent Gauthier , Marco Fiore , Mounim El-Yacoubi

In this paper we develop a framework for parameter estimation in macroscopic pedestrian models using individual trajectories -- microscopic data. We consider a unidirectional flow of pedestrians in a corridor and assume that the velocity…

Analysis of PDEs · Mathematics 2019-03-26 Susana N. Gomes , Andrew M. Stuart , Marie-Therese Wolfram

This study proposes an innovative approach to analyze spatial patterns of behavior by integrating information in weighted Voronoi diagrams. The objective of the research is to analyze the temporal distribution of an experimental subject in…

We tackle the problem of estimating the spatial distribution of mobile phones from Mobile Network Operator (MNO) data, namely Call Detail Record (CDR) or signalling data. The process of transforming MNO data to a density map requires…

Signal Processing · Electrical Eng. & Systems 2021-11-24 Fabio Ricciato , Angelo Coluccia

Pedestrian detection in a crowd is a challenging task due to a high number of mutually-occluding human instances, which brings ambiguity and optimization difficulties to the current IoU-based ground truth assignment procedure in classical…

Computer Vision and Pattern Recognition · Computer Science 2021-04-27 Yuang Zhang , Huanyu He , Jianguo Li , Yuxi Li , John See , Weiyao Lin

Reliable empirical data and proper understanding of pedestrian dynamics are necessary for fire safety design. However, specifications and data in different handbooks as well as experimental studies differ considerably. In this study, series…

Physics and Society · Physics 2013-12-10 Jun Zhang , Armin Seyfried

In the field of crowd counting, the current mainstream CNN-based regression methods simply extract the density information of pedestrians without finding the position of each person. This makes the output of the network often found to…

Computer Vision and Pattern Recognition · Computer Science 2022-01-25 Yi Hou , Chengyang Li , Fan Yang , Cong Ma , Liping Zhu , Yuan Li , Huizhu Jia , Xiaodong Xie

Agent-based models are becoming indispensable tools in building design, safety assessments as well as management of emergency egress. However, reliable calibrations of these models should be mandatory before they are used in practice. To…

Physics and Society · Physics 2012-07-27 Jun Zhang , Wolfram Klingsch , Tobias Rupprecht , Andreas Schadschneider , Armin Seyfried

Voronoi grids have been successfully used to represent density structures of gas in astronomical hydrodynamics simulations. While some codes are explicitly built around using a Voronoi grid, others, such as Smoothed Particle Hydrodynamics…

Instrumentation and Methods for Astrophysics · Physics 2017-11-03 Maya A. Petkova , Guillaume Laibe , Ian A. Bonnell

Intersections of pedestrian flows feature multiple types, varying in the numbers of flow directions as well as intersecting angles. In this article results from diverse bidirectional flow experiments with different intersecting angles are…

Physics and Society · Physics 2015-06-18 Jun Zhang , Armin Seyfried

We introduce a new class of spatial-temporal point processes based on Voronoi tessellations. At each step of such a process, a point is chosen at random according to a distribution determined by the associated Voronoi cells. The point is…

Probability · Mathematics 2007-05-23 Konstantin Borovkov , David Odell

We present a local density estimator based on first order statistics. To estimate the density at a point, $x$, the original sample is divided into subsets and the average minimum sample distance to $x$ over all such subsets is used to…

Methodology · Statistics 2014-12-10 Vikram V. Garg , Luis Tenorio , Karen Willcox

We propose a novel approach for density estimation with exponential families for the case when the true density may not fall within the chosen family. Our approach augments the sufficient statistics with features designed to accumulate…

Machine Learning · Statistics 2012-09-07 Lin Yuan , Sergey Kirshner , Robert Givan

This article addresses how diverse collective behaviors arise from simple and realistic decisions made entirely at the level of each agent's personal space in the sense of the Voronoi diagram. We present a discrete time model in 2D in which…

Physics and Society · Physics 2024-02-15 Ivan Gonzalez , Jack Tisdell , Rustum Choksi , Jean-Christophe Nave

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

Analyzing the microscopic dynamics of pushing behavior within crowds can offer valuable insights into crowd patterns and interactions. By identifying instances of pushing in crowd videos, a deeper understanding of when, where, and why such…

Computer Vision and Pattern Recognition · Computer Science 2023-10-12 Ahmed Alia , Mohammed Maree , Mohcine Chraibi , Armin Seyfried