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

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dc.contributor.authorRuíz, Óscar E.
dc.contributor.authorPeña, Sebastián
dc.contributor.authorDuque, Juan
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-18T22:49:42Z
dc.date.available2016-11-18T22:49:42Z
dc.date.issued2007-02
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 applicableeng
dc.formatapplication/pdfeng
dc.identifier.citation@inproceedings{2007_Ruiz_Aspect, title={Aspect Ratio-and Size-Controlled Patterned Triangulations of Parametric Surfaces}, author={Ruiz, O. and Pena, S. And Duque, J. }, booktitle={Proceedings of the ninth IASTED International Conference. Computer Graphics and Imaging.}, isbn={ 978-0-88986-644-7}, address={Innsbruck, Austria}, year={2007}, }spa
dc.identifier.isbn978-0-88986-644-7
dc.identifier.urihttp://hdl.handle.net/10784/9720
dc.language.isoengspa
dc.relation.ispartofProceedings of the ninth IASTED International Conference. Computer Graphics and Imaging, Feb. 2007spa
dc.rights.accessrightsinfo:eu-repo/semantics/closedAccesseng
dc.rights.localAcceso cerradospa
dc.subject.keywordFinite element methodeng
dc.subject.keywordTriangulationeng
dc.subject.keywordManifolds (Mathematics)eng
dc.subject.keywordComputer algorithmseng
dc.subject.keywordNumerical grid generation (Numerical analysis)eng
dc.subject.keywordTriangulación de Delaunayspa
dc.subject.keywordGeometría computacionalspa
dc.subject.keywordCurvas de Bezierspa
dc.subject.lembMÉTODO DE ELEMENTOS FINITOSspa
dc.subject.lembTRIANGULACIÓNspa
dc.subject.lembVARIEDADES (MATEMÁTICAS)spa
dc.subject.lembALGORITMOS (COMPUTADORES)spa
dc.subject.lembGENERACIÓN NUMÉRICA DE MALLAS (ANÁLISIS NUMÉRICO)spa
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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