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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…

How to reproduce realistic motion in simulations has always been a fundamental problem for pedestrian dynamics, and a critical challenge for current studies is the natural correlation of the movement choices and the human behaviours. To…

物理与社会 · 物理学 2022-04-27 Yao Xiao

Standard definitions of the density exhibit large fluctuations when the size of the measurement area is comparable with the size of a pedestrian. An alternative measurement method exists where a personal space, calculated through the…

物理与社会 · 物理学 2010-03-30 Jack Liddle , Armin Seyfried , Bernhard Steffen

This article represents the computational model for spacial addresation of the sensors in the dynamically changing real-time internet of things system. The model bases on the Voronoi diagrams as a basic data structure. Problem - the correct…

数据结构与算法 · 计算机科学 2022-01-11 Almagul Kondybayeva , Giovanna Di Marzo

This work addresses the collaborative multi-robot autonomous online exploration problem, particularly focusing on distributed exploration planning for dynamically balanced exploration area partition and task allocation among a team of…

机器人学 · 计算机科学 2025-10-29 Tianyi Ding , Ronghao Zheng , Senlin Zhang , Meiqin Liu

In this research, we propose a novel technique for visualizing nonstationarity in geostatistics, particularly when confronted with a single realization of data at irregularly spaced locations. Our method hinges on formulating a statistic…

统计方法学 · 统计学 2023-08-29 ShengLi Tzeng , Bo-Yu Chen , Hsin-Cheng Huang

High energy experimental data can be viewed as a sampling of the relevant phase space. We point out that one can apply Voronoi tessellations in order to understand the underlying probability distributions in this phase space. Interesting…

高能物理 - 唯象学 · 物理学 2015-11-10 Dipsikha Debnath , James S. Gainer , Doojin Kim , Konstantin T. Matchev

The motion of pedestrians is subject to a wide range of influences and exhibits a rich phenomenology. To enable precise measurement of the density and velocity we use an alternative definition using Voronoi diagrams which exhibits smaller…

Temporal network analysis and time evolution of network characteristics are powerful tools in describing the changing topology of dynamic networks. This paper uses such approaches to better visualize and provide analytical measures for the…

多智能体系统 · 计算机科学 2021-10-04 N. DiBrita , K. Eledlebi , H. Hildmann , L. Culley , A. F. Isakovic

We present a novel approach for studying the global dynamics of a vibro-impact pair, that is, a ball moving in a harmonically forced capsule. Motivated by a specific context of vibro-impact energy harvesting, we develop the method with…

动力系统 · 数学 2024-12-06 Lanjing Bao , Rachel Kuske , Daniil Yurchenko , Igor Belykh

In this paper, we consider a class of workspace partitioning problems that arise in the context of area coverage and spatial load balancing for spatially distributed heterogeneous multi-agent networks. It is assumed that each agent has…

系统与控制 · 电气工程与系统科学 2020-10-01 Efstathios Bakolas

In this paper, we propose a novel space partitioning strategy for implicit hierarchy visualization such that the new plot not only has a tidy layout similar to the treemap, but also is flexible to data changes similar to the Voronoi…

数据结构与算法 · 计算机科学 2020-09-17 Yan-Chao Wang , Feng Lin , Hock-Soon Seah

Spatial statistical analysis of multivariate volumetric data can be challenging due to scale, complexity, and occlusion. Advances in topological segmentation, feature extraction, and statistical summarization have helped overcome the…

统计方法学 · 统计学 2022-08-16 Tyson Neuroth , Martin Rieth , Konduri Aditya , Myoungkyu Lee , Jacqueline H Chen , Kwan-Liu Ma

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

统计方法学 · 统计学 2025-08-08 Tomotaka Momozaki , Shonosuke Sugasawa , Tomoyuki Nakagawa , Hiroko Kato Solvang , Sam Subbey

Many methods for modelling spatial processes assume global smoothness properties; such assumptions are often violated in practice. We introduce a method for modelling spatial processes that display heterogeneity or contain discontinuities.…

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…

概率论 · 数学 2007-05-23 Konstantin Borovkov , David Odell

Spatial and spatiotemporal volatility models are a class of models designed to capture spatial dependence in the volatility of spatial and spatiotemporal data. Spatial dependence in the volatility may arise due to spatial spillovers among…

计量经济学 · 经济学 2023-08-28 Philipp Otto , Osman Doğan , Süleyman Taşpınar , Wolfgang Schmid , Anil K. Bera

In this paper, an efficient deployment strategy is proposed for a network of mobile and static sensors with nonidentical sensing and communication radii. The multiplicatively weighted Voronoi (MW-Voronoi) diagram is used to partition the…

系统与控制 · 电气工程与系统科学 2023-09-19 Hesam Mosalli , Amir G. Aghdam

Human activity spaces are shaped by individual mobility and the built environment, motivating statistical methods that integrate GPS observations with GIS representations of places and routes. We propose a novel methodology to estimate…

统计方法学 · 统计学 2026-05-12 Haoyang Wu , Yen-Chi Chen , Adrian Dobra

The coordinated and efficient distribution of limited resources by individual decisions is a fundamental, unsolved problem. When individuals compete for road capacities, time, space, money, goods, etc., they normally make decisions based on…

统计力学 · 物理学 2009-11-07 Dirk Helbing , Martin Schoenhof , Daniel Kern
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