Abstract
This paper compares three methods for smoothing trajectories from controlled experiments to determine the main movement direction: central moving average, spline interpolation of inflection points, and moving convex hull. The often-used method of averaging needs an adaptation due to the velocity but nevertheless is less accurate than the others. The spline method gives best results for high to moderate velocities. The newly introduced method using convex hulls is very robust and offers especially for low velocities good results. Smoothing has a large influence on the calculation of pedestrians’ velocity and thus on the course of the fundamental diagram.
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Boltes, M., Pick, J., Klein, J. (2020). Smoothing Trajectories of People’s Heads. In: Zuriguel, I., Garcimartin, A., Cruz, R. (eds) Traffic and Granular Flow 2019. Springer Proceedings in Physics, vol 252. Springer, Cham. https://doi.org/10.1007/978-3-030-55973-1_3
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