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Crowd Dynamics Simulation Research

Crowd Dynamics Simulation Research. Dr. D. J. Kaup Dr. T. L. Clarke Rex Oleson Dr. Linda C. Malone University of Central Florida 3100 Technology Parkway Orlando, FL 32826. Overview. Generalize Lakoba-Kaup- Finkelstein crowd simulation model to incorporate personality factors

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Crowd Dynamics Simulation Research

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  1. Crowd Dynamics Simulation Research Dr. D. J. Kaup Dr. T. L. Clarke Rex Oleson Dr. Linda C. Malone University of Central Florida 3100 Technology Parkway Orlando, FL 32826

  2. Overview • Generalize Lakoba-Kaup- Finkelstein crowd simulation model to incorporate personality factors • Improved simulation of crowd behaviors in crowded environments.

  3. ¡ ¡ ¡ ! ¡ ! ! ! f l d f f d C i i i t t t t ¡ £ ¡ ¡ ¡ ¡ f f ) ) g g f f h h h h l l d d l l d d C C i i i i f g o n s a n v e c o r a e v a o n r o m p r e e r r e t t t t t t t t t t f l l d C £ £ ¡ ¡ = i i i f d t t t t t £ ¡ ¡ o o n n s s a a n n r r e e s s o o n n e e r r p p e e r r s s o o n n a a s s a a n n c c e e p r e e r r e = = m f h k d l d l d o n s a n e x p o n e n a n e r p e r s o n a s a n c e i i i i i i i i i t t ¡ t ¡ t t = l l d l d B i i i i i ¡ ¡ t p u r s c n o n g · r a a n g a e n a r e c r o e n c o n s o c a r e p u s o n r a a r e c o n = l i t v e o c y ¿ ¡ ¡ ¡ ¡ ! ! ! ! f f f f + + = l l h f i j i i i i i ¡ t s o c a r e p u s o n p u s n g r c o n HMFV Equations

  4. Sample HMFV Crowd Simulation • Mason Animation • Standard HMFV Model

  5. ( ) K K 1 ¡ ½ ½ 0 1 Density Dependent Panic Factors Added LKF Model Snapshot of a non-panicking crowd. Larger circles represent bodies, and smaller ones, noses, of pedestrians; in this way, the direction of motion of a pedestrian becomes apparent.

  6. Break Away Behavior Snapshot of a non-panicking crowd a few seconds after a group of pedestrians at the back of the crowd “breaks away".

  7. Exit Angle Results Based on NSF-funded Lakoba-Kaup-Finkelstein model Number of people exiting per 100 seconds

  8. Verification Using Crowd Video:Citrus Bowl Crowd: UCF-Tulane 2005

  9. Vector Field of Optical FlowLucas-Kanade Algorithm

  10. Add Personality • Incorporate Personality Factors into HMFV/LKF • Big Five: • Neuroticism • Extroversion • Openness • Agreeableness • Conscientiousness

  11. ( ) P N E O A C = u ; ; ; ; Math Approach Methods Add “personality vector” to simulation running under MASON:

  12. ¡ ! t f P B P = l i t n e r p e r s o n a v u Math Approach Quadratic form implements interpersonal force term:

  13. 0 1 b b b b b 1 1 2 1 3 1 4 1 5 1 b b b b b 2 1 2 2 3 2 4 2 5 2 B C B C b b b b b B = 3 1 3 2 3 3 4 3 5 3 B C B C b b b b b 4 1 4 2 4 3 4 4 5 4 @ A b b b b b 5 1 5 2 5 3 5 4 5 5 ; Interaction Matrix

  14. Trial Matrix Neurotic => Blue Extrovert => Cyan Openness => Green Agreeable => Yellow Consci => Red

  15. = + w c r c = 1 1 ¡ w w = 2 1 HMFV NEO Transition

  16. More Distant NEO Transition • Mason Animation

  17. Less Distant NEO Transition • Mason Animation

  18. ¡ ! µ ¶ t 1 f G ¾ g g ( ) = d F M G g e n e r v g u = = u ; 1 ¾ Incorporating Gender

  19. Future Research Refine: • B Matrix • HMFV NEO Transition Products: • Model of crowds and third-party actor behavior • Detect IEDs via behavior anomalies

  20. Acknowledgements This research has been supported in part by the National Science Foundation under Grant No. BCS-0527545 and by the U.S. Army Research Development and Engineering Command, Simulation Technology Center, Contract N61339-02-C-0107.

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