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Barcodes of Towers and a Streaming Algorithm for Persistent Homology

A tower is a sequence of simplicial complexes connected by simplicial maps. We show how to compute a filtration, a sequence of nested simplicial complexes, with the same persistent barcode as the tower. Our approach is based on the coning strategy by Dey et al. (SoCG, 2014). We show that a variant o...

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Publicado en:Discrete Comput Geom
Autores principales: Kerber, Michael, Schreiber, Hannah
Formato: Artigo
Lenguaje:Inglês
Publicado: Springer US 2018
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Acceso en línea:https://ncbi.nlm.nih.gov/pmc/articles/PMC6486534/
https://ncbi.nlm.nih.gov/pubmed/31105367
https://ncbi.nlm.nih.govhttp://dx.doi.org/10.1007/s00454-018-0030-0
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