Please use this identifier to cite or link to this item: http://hdl.handle.net/10553/74526
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dc.contributor.authorAlvarez, Len_US
dc.contributor.authorBlanc, A. P.en_US
dc.contributor.authorMazorra, L.en_US
dc.contributor.authorSantana Pérez, Francisco Jen_US
dc.date.accessioned2020-09-21T17:53:14Z-
dc.date.available2020-09-21T17:53:14Z-
dc.date.issued2002en_US
dc.identifier.issn1575-6807en_US
dc.identifier.urihttp://hdl.handle.net/10553/74526-
dc.description.abstractThis is a revised version of paper [2]. We have putted together papers [2] and [1], and we have included a lot of changes in order the paper be more understandable, readable and complete, we have also included a new application of the technique to the problem of shape classification. We present a new geometric invariant shape representation using morphological multiscale analyses. The geometric invariant is based on the area and perimeter evolution of the shape under the action of a morphological multiscale analysis. First, we present some theoretical results on the perimeter and area evolution across the scales of a shape. In the case of similarity transformations, the proposed geometric invariant is based on a scale-normalized evolution of the isoperimetric ratio of the shape. In the case of general affine geometric transformations the proposed geometric invariant is based on a scale-normalized evolution of the area. We present some numerical experiments to evaluate the performance of the proposed models. We present an application of this technique to the problem of shape classification on a real shape database and we study the well-posedness of the proposed models in the framework of viscosity solution theoryen_US
dc.languageengen_US
dc.relation.ispartofCuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticasen_US
dc.sourceCuadernos del Instituto Universitario de Ciencias y Tecnologías Cibernéticas [ISSN 1575-6807], n. 0020, p. 1-35en_US
dc.subject120304 Inteligencia artificialen_US
dc.subject120601 Construcción de algoritmosen_US
dc.subject120602 Ecuaciones diferencialesen_US
dc.subject120326 Simulaciónen_US
dc.titleGeometric invariant shape representation using morphological multiscale analyses and applications to shape classificationen_US
dc.typeinfo:eu-repo/semantics/articleen_US
dc.typeArticleen_US
dc.investigacionIngeniería y Arquitecturaen_US
dc.type2Artículoen_US
dc.description.numberofpages37en_US
dc.utils.revisionen_US
dc.identifier.ulpgces
item.fulltextCon texto completo-
item.grantfulltextopen-
crisitem.author.deptGIR Modelos Matemáticos-
crisitem.author.deptDepartamento de Informática y Sistemas-
crisitem.author.deptGIR IUCES: Centro de Tecnologías de la Imagen-
crisitem.author.deptIU de Cibernética, Empresa y Sociedad (IUCES)-
crisitem.author.deptGIR IUCES: Centro de Tecnologías de la Imagen-
crisitem.author.deptIU de Cibernética, Empresa y Sociedad (IUCES)-
crisitem.author.deptDepartamento de Informática y Sistemas-
crisitem.author.orcid0000-0002-6953-9587-
crisitem.author.orcid0000-0002-7176-0483-
crisitem.author.parentorgDepartamento de Informática y Sistemas-
crisitem.author.parentorgIU de Cibernética, Empresa y Sociedad (IUCES)-
crisitem.author.parentorgIU de Cibernética, Empresa y Sociedad (IUCES)-
crisitem.author.fullNameÁlvarez León, Luis Miguel-
crisitem.author.fullNameMazorra Manrique De Lara,Luis-
crisitem.author.fullNameSantana Pérez, Francisco J-
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