Coordinated Crowd Simulation With Topological Scene Analysis

This paper proposes a new algorithm to produce globally coordinated crowds in an environment with multiple paths and obstacles. Simple greedy crowd control methods easily lead to congestion at bottlenecks within scenes, as the characters do not cooperate with one another. In computer animation, this problem degrades crowd quality especially when ordered behaviour is needed, such as soldiers marching towards a castle. Similarly, in applications such as real‐time strategy games, this often causes player frustration, as the crowd will not move as efficiently as it should. Also, planning of building would usually require visualization of ordered evacuation to maximize the flow. Planning such globally coordinated crowd movement is usually labour intensive. Here, we propose a simple solution that is easy to use and efficient in computation. First, we compute the harmonic field of the environment, taking into account the starting points, goals and obstacles. Based on the field, we represent the topology of the environment using a Reeb Graph, and calculate the maximum capacity for each path in the graph. With the harmonic field and the Reeb Graph, path planning of crowd can be performed using a lightweight algorithm, such that any blocking of one another's paths is minimized. Comparing to previous methods, our system can synthesize globally coordinated crowd with smooth and efficient movement. It also enables control of the crowd with high‐level parameters such as the degree of cooperation and congestion. Finally, the method is scalable to thousands of characters with minimal impact to computation time. It is best applied in interactive crowd synthesis systems such as animation designs and real‐time strategy games.

[1]  Roland Geraerts,et al.  Space-Time Group Motion Planning , 2012, WAFR.

[2]  Thomas J. Cova,et al.  A network flow model for lane-based evacuation routing , 2003 .

[3]  Dinesh Manocha,et al.  Directing Crowd Simulations Using Navigation Fields , 2011, IEEE Transactions on Visualization and Computer Graphics.

[4]  Craig W. Reynolds Flocks, herds, and schools: a distributed behavioral model , 1998 .

[5]  Richard L. Francis,et al.  Network models for building evacuation , 1982 .

[6]  Taesoo Kwon,et al.  Interactive manipulation of large-scale crowd animation , 2014, ACM Trans. Graph..

[7]  Manfred Lau,et al.  Precomputed search trees: planning for interactive goal-driven animation , 2006, SCA '06.

[8]  Dinesh Manocha,et al.  Interactive navigation of multiple agents in crowded environments , 2008, I3D '08.

[9]  Taku Komura,et al.  Simulating interactions of avatars in high dimensional state space , 2008, I3D '08.

[10]  Uğur Güdükbay,et al.  A Layered Communication Model for Agents in Virtual Crowds , 2014 .

[11]  João Luiz Dihl Comba,et al.  Real-time multi-agent path planning on arbitrary surfaces , 2010, I3D '10.

[12]  B. Faverjon,et al.  Probabilistic Roadmaps for Path Planning in High-Dimensional Con(cid:12)guration Spaces , 1996 .

[13]  Richard L. Francis,et al.  EVACNET+: A computer program to determine optimal building evacuation plans , 1985 .

[14]  Jean-Jacques E. Slotine,et al.  Real-time path planning using harmonic potentials in dynamic environments , 1997, Proceedings of International Conference on Robotics and Automation.

[15]  Adrien Treuille,et al.  Continuum crowds , 2006, SIGGRAPH 2006.

[16]  Dinesh Manocha,et al.  Reciprocal n-Body Collision Avoidance , 2011, ISRR.

[17]  Norman I. Badler,et al.  Controlling individual agents in high-density crowd simulation , 2007, SCA '07.

[18]  Vladimir Kolmogorov,et al.  An experimental comparison of min-cut/max- flow algorithms for energy minimization in vision , 2001, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[19]  Sébastien Paris,et al.  Pedestrian Reactive Navigation for Crowd Simulation: a Predictive Approach , 2007, Comput. Graph. Forum.

[20]  Han Hoogeveen,et al.  Path Planning for Groups Using Column Generation , 2010, MIG.

[21]  Luciana Porcher Nedel,et al.  Path-Planning for RTS Games Based on Potential Fields , 2010, MIG.

[22]  Dinesh Manocha,et al.  Parameter estimation and comparative evaluation of crowd simulations , 2014, Comput. Graph. Forum.

[23]  L. F. Henderson On the fluid mechanics of human crowd motion , 1974 .

[24]  Demetri Terzopoulos,et al.  Autonomous pedestrians , 2007, Graph. Model..

[25]  Hiromasa Suzuki,et al.  3D geometric metamorphosis based on harmonic map , 1997, Proceedings The Fifth Pacific Conference on Computer Graphics and Applications.

[26]  Daniel Thalmann,et al.  Published online in Wiley InterScience (www.interscience.wiley.com). DOI: 10.1002/cav.147 , 2022 .

[27]  Hubert P. H. Shum,et al.  Real-time physical modelling of character movements with microsoft kinect , 2012, VRST '12.

[28]  Jean-Paul Laumond,et al.  Real-time navigating crowds: scalable simulation and rendering: Research Articles , 2006 .

[29]  Taku Komura,et al.  Environment-aware real-time crowd control , 2012, SCA '12.

[30]  Jan Rosell,et al.  Path planning using Harmonic Functions and Probabilistic Cell Decomposition , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[31]  Timothy A. Davis,et al.  Direct methods for sparse linear systems , 2006, Fundamentals of algorithms.

[32]  Michael Garland,et al.  Harmonic functions for quadrilateral remeshing of arbitrary manifolds , 2005, Comput. Aided Geom. Des..

[33]  Taku Komura,et al.  Interactive Formation Control in Complex Environments , 2014, IEEE Transactions on Visualization and Computer Graphics.

[34]  Marc Christie,et al.  Crowd sculpting: A space‐time sculpting method for populating virtual environments , 2014, Comput. Graph. Forum.

[35]  Tosiyasu L. Kunii,et al.  Surface coding based on Morse theory , 1991, IEEE Computer Graphics and Applications.

[36]  Daniel Thalmann,et al.  Real-Time Density-Based Crowd Simulation , 2012 .

[37]  Taku Komura,et al.  Topology matching for fully automatic similarity estimation of 3D shapes , 2001, SIGGRAPH.

[38]  Christian Rössl,et al.  Harmonic Guidance for Surface Deformation , 2005, Comput. Graph. Forum.

[39]  Adam Barnett Topology based global crowd control , 2014 .

[40]  Pierre Alliez,et al.  Anisotropic polygonal remeshing , 2003, ACM Trans. Graph..

[41]  Taesoo Kwon,et al.  Group motion editing , 2008, SIGGRAPH 2008.

[42]  Dinesh Manocha,et al.  Composite agents , 2008, SCA '08.

[43]  Mark H. Overmars,et al.  The corridor map method: a general framework for real‐time high‐quality path planning , 2007, Comput. Animat. Virtual Worlds.

[44]  Min Je Park Guiding flows for controlling crowds , 2009, The Visual Computer.