Identificador persistente para citar o vincular este elemento: http://hdl.handle.net/10553/52823
Campo DC Valoridioma
dc.contributor.authorAlvarez, Luisen_US
dc.contributor.authorGuichard, Frédéricen_US
dc.contributor.authorLions, Pierre Louisen_US
dc.contributor.authorMorel, Jean Michelen_US
dc.contributor.otherAlvarez, Luis-
dc.date.accessioned2019-02-04T13:53:45Z-
dc.date.available2019-02-04T13:53:45Z-
dc.date.issued1993en_US
dc.identifier.issn0003-9527en_US
dc.identifier.urihttp://hdl.handle.net/10553/52823-
dc.description.abstractImage-processing transforms must satisfy a list of formal requirements. We discuss these requirements and classify them into three categories: “architectural requirements” like locality, recursivity and causality in the scale space, “stability requirements” like the comparison principle and “morphological requirements”, which correspond to shape-preserving properties (rotation invariance, scale invariance, etc.). A complete classification is given of all image multiscale transforms satisfying these requirements. This classification yields a characterization of all classical models and includes new ones, which all are partial differential equations. The new models we introduce have more invariance properties than all the previously known models and in particular have a projection invariance essential for shape recognition. Numerical experiments are presented and compared. The same method is applied to the multiscale analysis of movies. By introducing a property of Galilean invariance, we find a single multiscale morphological model for movie analysis.en_US
dc.languageengen_US
dc.relation.ispartofArchive for rational mechanics and analysis (Print)en_US
dc.sourceArchive for Rational Mechanics and Analysis [ISSN 0003-9527], v. 123 (3), p. 199-257en_US
dc.subject120601 Construcción de algoritmosen_US
dc.subject120602 Ecuaciones diferencialesen_US
dc.subject220990 Tratamiento digital. Imágenesen_US
dc.subject.otherClassical Modelen_US
dc.subject.otherElectromagnetismen_US
dc.subject.otherScale Invarianceen_US
dc.subject.otherInvariance Propertyen_US
dc.subject.otherScale Spaceen_US
dc.titleAxioms and fundamental equations of image processingen_US
dc.typeinfo:eu-repo/semantics/Articleen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/BF00375127en_US
dc.identifier.scopus33747812053-
dc.identifier.isiA1993LY59500001-
dcterms.isPartOfArchive For Rational Mechanics And Analysis-
dcterms.sourceArchive For Rational Mechanics And Analysis[ISSN 0003-9527], v. 123 (3), p. 199-257-
dc.contributor.authorscopusid55640159000-
dc.contributor.authorscopusid56233105400-
dc.contributor.authorscopusid7005987058-
dc.contributor.authorscopusid57203072257-
dc.identifier.eissn1432-0673-
dc.description.lastpage257-
dc.identifier.issue3-
dc.description.firstpage199-
dc.relation.volume123-
dc.investigacionIngeniería y Arquitecturaen_US
dc.type2Artículoen_US
dc.identifier.wosWOS:A1993LY59500001-
dc.contributor.daisngid478566-
dc.contributor.daisngid225555-
dc.contributor.daisngid74889-
dc.contributor.daisngid105260-
dc.identifier.investigatorRIDA-9190-2009-
dc.identifier.externalWOS:A1993LY59500001-
dc.contributor.wosstandardWOS:ALVAREZ, L
dc.contributor.wosstandardWOS:GUICHARD, F
dc.contributor.wosstandardWOS:LIONS, PL
dc.contributor.wosstandardWOS:MOREL, JM
dc.date.coverdate1993
dc.identifier.ulpgces
dc.description.scieSCIE
item.fulltextSin texto completo-
item.grantfulltextnone-
crisitem.author.deptGIR Modelos Matemáticos-
crisitem.author.deptDepartamento de Informática y Sistemas-
crisitem.author.orcid0000-0002-6953-9587-
crisitem.author.parentorgDepartamento de Informática y Sistemas-
crisitem.author.fullNameÁlvarez León, Luis Miguel-
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