Extending the kinematic theory of rapid movements with new primitives
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866916110086963200 |
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| author | Ferrer, Miguel A. Diaz, Moises Quintana, Jose J. Carmona-Duarte, Cristina |
| author_facet | Ferrer, Miguel A. Diaz, Moises Quintana, Jose J. Carmona-Duarte, Cristina |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16519 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Extending the kinematic theory of rapid movements with new primitives Ferrer, Miguel A. Diaz, Moises Quintana, Jose J. Carmona-Duarte, Cristina Computer Vision and Pattern Recognition 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. |
| title | Extending the kinematic theory of rapid movements with new primitives |
| topic | Computer Vision and Pattern Recognition |
| url | https://arxiv.org/abs/2401.16519 |