González Díaz, RocíoAdrian, IonJiménez Rodríguez, María JoséPoyatos, Regina2015-11-162015-11-162011http://hdl.handle.net/11441/30766In this paper, we establish a correspondence between the incremental algorithm for computing AT-models [8,9] and the one for computing persistent homology [6,14,15]. We also present a decremental algorithm for computing AT-models that allows to extend the persistence computation to a wider setting. Finally, we show how to combine incremental and decremental techniques for persistent homology computation.application/pdfengAtribución-NoComercial-CompartirIgual 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-sa/4.0/Persistent homologyAT-model for computing homologycell complexinfo:eu-repo/semantics/bookPartinfo:eu-repo/semantics/openAccesshttps://doi.org/10.1007/978-3-642-23672-3_35