Artículo
Topological signature for periodic motion recognition
Autor/es | Lamar León, Javier
García Reyes, Edel González Díaz, Rocío |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2019 |
Fecha de depósito | 2021-10-18 |
Publicado en |
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Resumen | In this paper, we present an algorithm that computes the topological signature for a given periodic
motion sequence. Such signature consists of a vector obtained by persistent homology which captures
the topological and ... In this paper, we present an algorithm that computes the topological signature for a given periodic motion sequence. Such signature consists of a vector obtained by persistent homology which captures the topological and geometric changes of the object that models the motion. Two topological signatures are compared simply by the angle between the corresponding vectors. With respect to gait recognition, we have tested our method using only the lowest fourth part of the body’s silhouette. In this way, the impact of variations in the upper part of the body, which are very frequent in real scenarios, decreases considerably. We have also tested our method using other periodic motions such as running or jumping. Finally, we formally prove that our method is robust to small perturbations in the input data and does not depend on the number of periods contained in the periodic motion sequence. |
Agencias financiadoras | Junta de Andalucía Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | FQM-369
MTM2015-67072-P |
Cita | Lamar León, J., García Reyes, E. y González Díaz, R. (2019). Topological signature for periodic motion recognition. ArXiv.org, arXiv:1904.06210 |
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