Macrophages Trajectories Smoothing by Evolving Curves
Giulia Lupi,
Karol Mikula,
Seol Ah Park
Abstract:When analyzing cell trajectories, we often have to deal with noisy data due to the random motion of the cells and possible imperfections in cell center detection. To smooth these trajectories, we present a mathematical model and numerical method based on evolving open-plane curve approach in the Lagrangian formulation. The model contains two terms: the first is the smoothing term given by the influence of local curvature, while the other attracts the curve to the original trajectory. We use the flowing finite … Show more
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