Forecasting Crowd State in Video by an Improved Lattice Boltzmann Model

Fluid methods have been introduced to analysis of crowd movements in videos recent years. Among these methods, Lattice Boltzmann model has been widely used as a quite convenient tool. Moreover, the Lattice Boltzmann model describes crowd movement as fluid, and the particles of the fluid flow randomly. Therefore, it is very difficult for the model to simulate the crowds purpose drive. In this study, a lattice Boltzmann based model added with a traction force term, which represents the crowds purpose drive toward the exit, is proposed. The model input is optical flow velocity field. Less error in the velocity fields computing and the capability in forecasting the crowd state is obtained.

[1]  A. Seyfried,et al.  The fundamental diagram of pedestrian movement revisited , 2005, physics/0506170.

[2]  R. Benzi,et al.  Lattice Gas Dynamics with Enhanced Collisions , 1989 .

[3]  Dirk Helbing,et al.  From Crowd Dynamics to Crowd Safety: a Video-Based Analysis , 2008, Adv. Complex Syst..

[4]  A. Seyfried,et al.  Methods for measuring pedestrian density, flow, speed and direction with minimal scatter , 2009, 0911.2165.

[5]  Amine Ammar,et al.  Lattice Boltzmann method for polymer kinetic theory , 2010 .

[6]  Jianping Meng,et al.  Lattice Boltzmann model for traffic flow. , 2008, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  L. Luo,et al.  A priori derivation of the lattice Boltzmann equation , 1997 .

[8]  Ivan Laptev,et al.  Density-aware person detection and tracking in crowds , 2011, ICCV.

[9]  Takeo Kanade,et al.  Tracking in unstructured crowded scenes , 2009, 2009 IEEE 12th International Conference on Computer Vision.

[10]  Y. Pomeau,et al.  Lattice-gas automata for the Navier-Stokes equation. , 1986, Physical review letters.

[11]  Y. Qian,et al.  Lattice BGK Models for Navier-Stokes Equation , 1992 .

[12]  B. Shi,et al.  Discrete lattice effects on the forcing term in the lattice Boltzmann method. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Jun Zhang,et al.  Extraction and quantitative analysis of microscopic evacuation characteristics based on digital image processing , 2009 .