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A procedure for computing the symmetric difference of regions defined by polygonal curves

2014-02Artigo científico Acesso aberto
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datacite.subject.sdg03:Saúde de Qualidade
datacite.subject.sdg09:Indústria, Inovação e Infraestruturas
datacite.subject.sdg12:Produção e Consumo Sustentáveis
dc.contributor.authorGaspar, Miguel Belbut
dc.contributor.authorMartins-Ferreira, Nelson
dc.date.accessioned2026-05-25T09:09:30Z
dc.date.available2026-05-25T09:09:30Z
dc.date.issued2014-02
dc.description.abstractGiven any two regions A, B in the plane, defined by polygonal (simple, closed and oriented) curves, associated with their respective boundaries, we describe a procedure to compute the symmetric difference A ⊕ B. The output is also presented in the form of polygonal curves, where in particular the curves describing the union A ∪ B, the intersection A ∩ B, the difference A \ B, and the complement of the difference B \ A, are also obtained. This is related with the two equivalent formulas to compute the symmetric difference, namely A ⊕ B = (A ∪ B) \ (A ∩ B) = (A \ B) ∪ (B \ A).eng
dc.description.sponsorshipThe first author was supported by CDRSP. The second author was supported by IPLeiria/ESTG-CDRSP and Fundação para a Ciência e a Tecnologia (under the grant number SFRH/BPD/4321/2008 at CMUC).
dc.identifier.citationGaspar, Miguel & Martins-Ferreira, Nelson. (2013). A procedure for computing the symmetric difference of regions defined by polygonal curves. Journal of Symbolic Computation. 61-62. 10.1016/j.jsc.2013.10.008
dc.identifier.doi10.1016/j.jsc.2013.10.008
dc.identifier.issn0747-7171
dc.identifier.urihttp://hdl.handle.net/10400.8/16342
dc.language.isoeng
dc.peerreviewedyes
dc.publisherElsevier BV
dc.relationDIRECT AND INDIRECT EFFECTS OF CONTAMINANTS ON DETRITUS PROCESSING WITHIN FRESHWATER FOOD WEBS
dc.relation.hasversionhttps://dl.acm.org/doi/10.1016/j.jsc.2013.10.008
dc.relation.ispartofJournal of Symbolic Computation
dc.rights.uriN/A
dc.subjectSymmetric difference
dc.subjectOperation
dc.subjectRegions in the plane
dc.subjectOriented closed simple curves
dc.subjectGraph with symmetry
dc.subjectIntersection
dc.subjectUnion
dc.subjectSet difference
dc.titleA procedure for computing the symmetric difference of regions defined by polygonal curveseng
dc.typejournal article
dspace.entity.typePublication
oaire.awardNumberSFRH/BPD/45342/2008
oaire.awardTitleDIRECT AND INDIRECT EFFECTS OF CONTAMINANTS ON DETRITUS PROCESSING WITHIN FRESHWATER FOOD WEBS
oaire.awardURIhttp://hdl.handle.net/10400.8/15576
oaire.citation.endPage65
oaire.citation.startPage53
oaire.citation.titleJournal of Symbolic Computation
oaire.citation.volume61-62
oaire.versionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
person.familyNameGaspar
person.familyNameMartins-Ferreira
person.givenNameMiguel
person.givenNameNelson
person.identifier485301
person.identifier.ciencia-id771B-5C32-F127
person.identifier.ciencia-idB115-B65E-24AA
person.identifier.orcid0000-0001-8944-1555
person.identifier.orcid0000-0002-4199-7367
person.identifier.ridN-1699-2013
person.identifier.scopus-author-id55914767700
person.identifier.scopus-author-id24598020700
relation.isAuthorOfPublication014140ac-ac22-4008-b81d-0de79852e659
relation.isAuthorOfPublication52406f6a-2c36-4e9a-9996-d3cc719d46bf
relation.isAuthorOfPublication.latestForDiscovery014140ac-ac22-4008-b81d-0de79852e659
relation.isProjectOfPublication1a5ddda4-2e86-4321-b488-e28cf8c62695
relation.isProjectOfPublication.latestForDiscovery1a5ddda4-2e86-4321-b488-e28cf8c62695

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