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.Junta de Andalucía FQM-369Ministerio de Economía y Competitividad MTM2015-67072-
