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arXiv · 2401.16519

Extending the kinematic theory of rapid movements with new primitives

Miguel A. Ferrer·Moises Diaz·Jose J. Quintana·Cristina Carmona-Duarte
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Abstract

The Kinematic Theory of rapid movements, and its associated Sigma-Lognormal, model 2D spatiotemporal trajectories. It is constructed mainly as a temporal overlap of curves between virtual target points. Specifically, it uses an arc and a lognormal as primitives for the representation of the trajectory and velocity, respectively. This paper proposes developing this model, in what we call the Kinematic Theory Transform, which establishes a mathematical framework that allows further primitives to be used. Mainly, we evaluate Euler curves to link virtual target points and Gaussian, Beta, Gamma, Double-bounded lognormal, and Generalized Extreme Value functions to model the bell-shaped velocity profile. Using these primitives, we report reconstruction results with spatiotemporal trajectories executed by human beings, animals, and anthropomorphic robots.

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Miguel A. Ferrer, Moises Diaz, Jose J. Quintana, Cristina Carmona-Duarte. 2024-01-29. Extending the kinematic theory of rapid movements with new primitives. https://doi.org/10.1016/j.patrec.2023.02.021

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