Beyond the Hausdorff metric in digital topology

[EN] Two objects may be close in the Hausdorff metric, yet have very different geometric and topological properties. We examine other methods of comparing digital images such that objects close in each of these measures have some similar geometric or topological property. Such measures may be combin...

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Detalles Bibliográficos
Autor: Boxer, Laurence
Tipo de recurso: artículo
Fecha de publicación:2022
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/182884
Acceso en línea:https://riunet.upv.es/handle/10251/182884
Access Level:acceso abierto
Palabra clave:Digital topology
Digital image
Hausdorff metric
Descripción
Sumario:[EN] Two objects may be close in the Hausdorff metric, yet have very different geometric and topological properties. We examine other methods of comparing digital images such that objects close in each of these measures have some similar geometric or topological property. Such measures may be combined with the Hausdorff metric to yield a metric in which close images are similar with respect to multiple properties.