Résumé

The Kinematic Theory of rapid human movements analytically describes pen tip movements as a sequence of elementary strokes with lognormal speed. The theory has been confirmed in a large number of experimental evaluations, achieving a high reconstruction quality when compared with observed trajectories and providing pertinent features for biomedical applications as well as biometric identification. So far, the Kinematic Theory has focused on one-dimensional movements with the Delta-Lognormal model and on two-dimensional movements with the Sigma-Lognormal model. In this chapter, we present a model for movements in three dimensions, which naturally extends the Sigma-Lognormal approach. We evaluate our method on two action recognition datasets and an air-writing dataset, demonstrating a high reconstruction quality for modelling rapid 3D movements in all cases.

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