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Virtual Tawaf: A Velocity-Space-Based Solution for Simulating Heterogeneous Behavior in Dense Crowds

  • Sean CurtisEmail author
  • Stephen J. Guy
  • Basim Zafar
  • Dinesh Manocha
Chapter
Part of the The International Series in Video Computing book series (VICO, volume 11)

Abstract

We present a system to simulate the movement of individual agents in large-scale crowds performing the Tawaf. The Tawaf serves as a unique test case; the large crowd consists of a heterogeneous set of pilgrims, varying in both physical capacity and activity. Furthermore, the density of the crowd reaches extremely high levels (up to 8 people/m2). This extreme density can place impractical constraints on simulation parameters. We use a velocity-space-based pedestrian model which exhibits consistent results even under extreme density: reciprocal velocity obstacles (RVO). Furthermore, we extend RVO to include priority and right of way—agents respond to potential collisions asymmetrically depending on context; one agent may yield, to varying degrees, to another. Our system uses a finite state machine to specify the behavior of the agents at each time step, to model the varied behaviors seen during the Tawaf. The finite-state machine, used in conjunction with RVO, generates collision-free trajectories for tens of thousands of agents in the performance of the Tawaf. The overall system can model agents with varying age, gender and behaviors, supporting the heterogeneity observed in the performance of the Tawaf, even at high densities.

Keywords

Subject Agent Repulsive Force Cellular Automaton Finite State Machine Crowd Behavior 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This research is supported in part by ARO Contract W911NF-10-1-0506, NSF awards 0917040, 0904990 and 1000579.

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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Sean Curtis
    • 1
    Email author
  • Stephen J. Guy
    • 1
  • Basim Zafar
    • 2
  • Dinesh Manocha
    • 1
  1. 1.University of North Carolina at Chapel HillChapel HillUSA
  2. 2.Hajj Research InstituteUmm al-Qura UniversityMakkahSaudi Arabia

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