Aspect ratio- and size-controlled patterned triangulations of parametric surfaces

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dc.contributor.authorRuiz, Oscar E.
dc.contributor.authorPena, Sebastian
dc.contributor.authorDuque, Juan
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2021-04-16T21:24:54Z
dc.date.available2021-04-16T21:24:54Z
dc.date.issued2007-01-01
dc.description.abstractA method to produce patterned, controlled size triangulation of Boundary Representations is presented. Although the produced patterned triangulations are not immediately suited for fast visualization, they were used in Fixed Grid Finite Element Analysis, and do provide a control on the aspect ratio or shape factor of the triangles produced. The method presented first calculates a triangulation in the parameter space of the faces in which the B-Rep is partitioned and then maps it to 3D space. Special emphasis is set in ensuring that the triangulations of neighboring faces meet in a seamless manner, therefore ensuring that a borderless C2 2-manifold would have as triangulation a C0 borderless 2-manifold. The method works properly under the conditions (i) the parametric form of the face is a 1-1 function, (ii) the parametric pre-image of a parametric face is a connected region, and (iii) the user-requested sampling frequency ( samples per length unit ) is higher than twice the spatial frequency of the features in the B-Rep ( thus respecting the Nyquist principle ). As the conditions (i) and (ii) are possible under face reparameterization or sub-division and the condition (iii) is the minimum that a triangulation should comply with, the method is deemed as generally applicable.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1618
dc.identifier.isbn9780889866447
dc.identifier.otherWOS;000246337800001
dc.identifier.otherSCOPUS;2-s2.0-54949135394
dc.identifier.urihttp://hdl.handle.net/10784/29480
dc.language.isoengspa
dc.publisherACTA PRESS ANAHEIM
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-54949135394&partnerID=40&md5=8f396a5bb545311583846b89ebc5577f
dc.rightsACTA PRESS ANAHEIM
dc.sourceProceedings Of The Ninth Iasted International Conference On Computer Graphics And Imaging
dc.subject.keywordAspect ratioeng
dc.subject.keywordColor image processingeng
dc.subject.keywordComputational geometryeng
dc.subject.keywordComputer graphicseng
dc.subject.keywordFinite element methodeng
dc.subject.keywordGeodesyeng
dc.subject.keywordPressure dropeng
dc.subject.keywordTheorem provingeng
dc.subject.keywordThree dimensionaleng
dc.subject.keyword2-manifold triangulationeng
dc.subject.keyword3d spaceseng
dc.subject.keywordBoundary representationseng
dc.subject.keywordConnected regionseng
dc.subject.keywordConstrained delaunayeng
dc.subject.keywordControlled sizeseng
dc.subject.keywordFast visualizationseng
dc.subject.keywordFinite-element analyseseng
dc.subject.keywordFixed gridseng
dc.subject.keywordGrid triangulationeng
dc.subject.keywordNyquisteng
dc.subject.keywordParameter spaceseng
dc.subject.keywordParametric formseng
dc.subject.keywordParametric space triangulationeng
dc.subject.keywordParametric surfaceseng
dc.subject.keywordReparameterizationeng
dc.subject.keywordSampling frequencieseng
dc.subject.keywordShape factorseng
dc.subject.keywordSpatial frequencieseng
dc.subject.keywordSpecial emphaseseng
dc.subject.keywordTriangulationeng
dc.titleAspect ratio- and size-controlled patterned triangulations of parametric surfaceseng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

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