Vision-based macroscopic pedestrian models

@article{Degond2013VisionbasedMP,
  title={Vision-based macroscopic pedestrian models},
  author={Pierre Degond and C{\'e}cile Appert-Rolland and Julien Pettr'e and Guy Theraulaz},
  journal={Kinetic and Related Models},
  year={2013},
  volume={6},
  pages={809-839}
}
We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from [44] where the dangerousness level of an interaction with another pedestrian is measured in terms of the derivative of the bearing angle (angle between the walking direction and the line connecting the two subjects) and of the time-to-interaction (time before reaching the closest distance between the two subjects). A mean… 
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