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Crowd Behaviour Understanding Using Computer Vision and Statistical Mechanics Principles

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Crowd Dynamics, Volume 3

Abstract

Crowd behaviour understanding in computer science is a research discipline which has grown rapidly in recent years. Specifically, we are currently able to generate large and high-resolution observation data through crowd sensing in varieties of spatial environments. This has also given us the advantage to adopt computer vision methods for detecting human behaviour. In this study, we adopted statistical mechanics principles with analogies of entropy and kinetic energy in classical molecular gases to derive features which describe crowd motions. These are implicitly measured, as basis for understanding behaviour, using a holistic three-dimensional representation, of crowd features including structure, energy and translation. As a result, we measured those features using computer vision in the view of machine understanding crowd behaviour. Usual behaviour is established from our expected crowd motions in context of the specific recipient spaces of our experiments. The behaviour which does not fall within the expected usual behaviour measurement is considered as an unusual behaviour. This research work was initiated in 2013 under the eVACUATE project, while it is currently ongoing under the S4AllCities project since 2020.

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References

  1. Evacuate (2013–2017). A holistic, scenario independent, situation awareness and guidance system for sustaining the active evacuation route for large crowds. H2020 project ID number 313361. http://www.evacuate.eu/

  2. Parisi, D. R. and Dorso, C. O. (2005). Microscopic dynamics of pedestrian evacuation. Physica A, Vol. 354, pp. 606–618.

    Google Scholar 

  3. Helbing, D. and Molnar, P. (1995). Social force model for pedestrian dynamics. Physical Review E, Vol. 51. 5, pp. 4282–4286

    Google Scholar 

  4. Burstedde, C., et al., et al. (2001). Simulation of pedestrian dynamics using a two-dimensional cellular automaton. Physica A, Vol. 295, pp. 507–525.

    Google Scholar 

  5. Kirchner, A., Nishinari, K. and Schadschneider, A. (2003). Friction effects and clogging in a cellular automaton model for pedestrian dynamics. Physical Review E, Vol. 67(5), pp. 056122–056122

    Google Scholar 

  6. Heneina, C. M. and White, T. (2007). Macroscopic effects of microscopic forces between agents in crowd models. Physica, Vol. 373, pp. 694–712.

    Google Scholar 

  7. Guo, R.Y. and Huang, H.J. (2008). A mobile lattice gas model for simulating pedestrian evacuation. Physica A, Vol. 387, pp. 580–586.

    Google Scholar 

  8. Weng, W. G., et al., et al. (2006). Cellular automaton simulation of pedestrian counter flow with different walk velocities. Physical Review E, Vol. 74(3), pp. 036102–036102

    Google Scholar 

  9. Helbing, D., Farkas, I. and Vicsek, T. (2000). Simulating dynamical features of escape panic. Nature, Vol. 407, pp. 487–490.

    Google Scholar 

  10. Mehran, R., Oyama, A. and Shah, M. (2009). Abnormal Crowd Behavior Detection using Social Force Model. IEEE Conference on Computer Vision and Pattern recognition (CVPR), 2009.pp. 935–942

    Google Scholar 

  11. Henderson, L. F. (1971). The Statistics of Crowd Fluids. Nature, Vol. 229, pp. 381 - 383.

    Google Scholar 

  12. Helbing, D. (1992). A Fluid-Dynamic Model for the Movement of Pedestrians. Complex Systems, Vol. 6, pp. 391–415.

    Google Scholar 

  13. Moore, B. E., et al., et al. (2011). Visual Crowd Surveillance Through a Hydrodynamics Lens. Communications of the ACM, Vol. 54, pp. 64–73.

    Google Scholar 

  14. Tolman, R. C. (1979). The principles of statistical mechanics. Courier Corporation.

    MATH  Google Scholar 

  15. C.E. Shannon. (1948). "A Mathematical Theory of Communication", Bell System Technical J., vol. 27, pp. 379–423, July and Oct. 1948.

    Google Scholar 

  16. Middleton, L., Zlatev, Z., Sabeur, Z.A, Arbab-Zavar, B., Makantasis, K., Karatzalos, K., Christopoulou, I. and Bellomo, N. (2015). D3.4: Multi-scale behaviour recognition technical specification v2.0. Evacuate project deliverable. H2020 project ID number 313361. http://www.evacuate.eu/

  17. Zhou, B., Tang, X., & Wang, X. (2012). Coherent filtering: Detecting coherent motions from crowd clutters. In European Conference on Computer Vision, pp. 857–871. Springer, Berlin, Heidelberg.

    Google Scholar 

  18. Zhou, B., Tang, X., & Wang, X. (2013). Measuring crowd collectiveness. In Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp. 3049–3056.

    Google Scholar 

  19. Correndo, G., Arbab-Zavar, B., Zlatev, Z., Sabeur, Z.A. (2015). Context ontology modelling for improving situation awareness and crowd evacuation from confined spaces. In: Environmental Software Systems. Infrastructures, Services and Applications, pp. 407–416. Springer, New York.

    Chapter  Google Scholar 

  20. Sabeur, Z.A., Doulamis, N., Middleton, L., Arbab-Zavar, B., Correndo, G., Amditis, A. (2015). Multi-modal computer vision for the detection of multi-scale crowd physical motions and behavior in confined spaces. In: Advances in Visual Computing, pp. 162–173. Springer, New York.

    Chapter  Google Scholar 

  21. Arbab-Zavar, B. and Sabeur, Z.A. (2020). Multi-scale crowd feature detection using vision sensing and statistical mechanics principles. Machine Vision and Applications, 31(4), 1–16.

    Article  Google Scholar 

  22. S4AllCities (2020–2023). Safe and Secure Smart Spaces for all Cities H2020 project ID number 883522. https://www.s4allcities.eu/project.

  23. Sabeur Z., Angelopoulos C.M., Collick L., Chechina N., Cetinkaya D., Bruno A. (2021) Advanced Cyber and Physical Situation Awareness in Urban Smart Spaces. In: Ayaz H., Asgher U., Paletta L. (eds) Advances in Neuroergonomics and Cognitive Engineering. AHFE 2021. Lecture Notes in Networks and Systems, vol 259. pp. 428–441. Springer, Cham. https://doi.org/10.1007/978-3-030-80285-1_50

    Google Scholar 

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Acknowledgements

The authors are very grateful to all of the eVACUATE research partners, particularly Drs. Zlatko Zlatev, Gianluca Correndo and Lee Middleton, for their collaboration, while we initiated the research work at the University of Southampton. We are also thankful to Professor Nicola Bellomo for his important research discussions on the fundamental modelling of crowd when we initiated this research under the eVACUATE project in 2013. Our research work was partly supported by the European Commission, initially under H2020 Grant Number 313361 in the eVACUATE project (2013–2017) and more recently under H2020 Grant Number 883522 of the ongoing S4AllCities project (2020–2023).

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Correspondence to Zoheir Sabeur .

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Sabeur, Z., Arbab-Zavar, B. (2021). Crowd Behaviour Understanding Using Computer Vision and Statistical Mechanics Principles. In: Bellomo, N., Gibelli, L. (eds) Crowd Dynamics, Volume 3. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-91646-6_3

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