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<dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:invenio="http://invenio-software.org/elements/1.0" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><dc:identifier>doi:10.1016/j.patrec.2024.06.010</dc:identifier><dc:language>eng</dc:language><dc:creator>Divasón, Jose</dc:creator><dc:creator>Romero, Ana</dc:creator><dc:creator>Santolaria, Pilar</dc:creator><dc:creator>Yániz, Jesús L.</dc:creator><dc:title>Zigzag persistence for image processing: New software and applications</dc:title><dc:identifier>ART-2024-139082</dc:identifier><dc:description>Topological image analysis is a powerful tool for understanding the structure and topology of images, being persistent homology one of its most popular methods. However, persistent homology requires a chain of inclusions of topological spaces, which can be challenging for digital images. In this article, we explore the use of zigzag persistence, a recent variant of traditional persistence, for digital image processing. To this end, new algorithms are developed to build a simplicial complex associated to a digital image and to compute the relationships between homology classes of a sequence of binary images via zigzag persistence. Additionally, we provide a simple software to use them. We demonstrate its effectiveness by applying it to a real-world problem of analyzing honey bee sperm videos.</dc:description><dc:date>2024</dc:date><dc:source>http://zaguan.unizar.es/record/136204</dc:source><dc:doi>10.1016/j.patrec.2024.06.010</dc:doi><dc:identifier>http://zaguan.unizar.es/record/136204</dc:identifier><dc:identifier>oai:zaguan.unizar.es:136204</dc:identifier><dc:relation>info:eu-repo/grantAgreement/ES/AEI/PID2020-112673RB-I00</dc:relation><dc:relation>info:eu-repo/grantAgreement/ES/AEI/PID2020-116641GB-I00</dc:relation><dc:relation>info:eu-repo/grantAgreement/ES/DGA-FSE/A07_23R</dc:relation><dc:identifier.citation>PATTERN RECOGNITION LETTERS 184 (2024), 111-118</dc:identifier.citation><dc:rights>by-nc</dc:rights><dc:rights>https://creativecommons.org/licenses/by-nc/4.0/deed.es</dc:rights><dc:rights>info:eu-repo/semantics/openAccess</dc:rights></dc:dc>

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