Gabriel-constrained Parametric Surface Triangulation

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dc.contributor.authorRuíz, Óscar E.
dc.contributor.authorCadavid, Carlos
dc.contributor.authorLalinde, Juan G.
dc.contributor.authorSerrano, Ricardo
dc.contributor.authorPeris-Fajarnés, Guillermo
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-18T22:43:44Z
dc.date.available2016-11-18T22:43:44Z
dc.date.issued2008-10
dc.description.abstractThe Boundary Representation of a 3D manifold contains FACES (connected subsets of a parametric surface S : R2−R3) -- In many science and engineering applications it is cumbersome and algebraically difficult to deal with the polynomial set and constraints (LOOPs) representing the FACE -- Because of this reason, a Piecewise Linear (PL) approximation of the FACE is needed, which is usually represented in terms of triangles (i.e. 2-simplices) -- Solving the problem of FACE triangulation requires producing quality triangles which are: (i) independent of the arguments of S, (ii) sensitive to the local curvatures, and (iii) compliant with the boundaries of the FACE and (iv) topologically compatible with the triangles of the neighboring FACEs -- In the existing literature there are no guarantees for the point (iii) -- This article contributes to the topic of triangulations conforming to the boundaries of the FACE by applying the concept of parameter independent Gabriel complex, which improves the correctness of the triangulation regarding aspects (iii) and (iv) -- In addition, the article applies the geometric concept of tangent ball to a surface at a point to address points (i) and (ii) -- Additional research is needed in algorithms that (i) take advantage of the concepts presented in the heuristic algorithm proposed and (ii) can be proved correcteng
dc.formatapplication/pdfeng
dc.identifier.citation@inproceedings{2008_Ruiz_Gabriel, title={Gabriel-constrained parametric surface triangulation}, author={Ruiz, O. and Cadavid, C. and Lalinde, J.G. and Serrano, R. and Peris-Fajarnes, G.}, booktitle={International Conference on Computational Geometry. World Academy of Science, Engineering and Technology}, pages={578--585}, issn={ 2070-3740}, address={Venice, Italy}, year={2008},spa
dc.identifier.issn2070-3740
dc.identifier.urihttp://hdl.handle.net/10784/9712
dc.language.isoengspa
dc.relation.ispartofInternational Conference on Computational Geometry. World Academy of Science, Engineering and Technology, pp.578,585, Oct. 2008spa
dc.rights.accessrightsinfo:eu-repo/semantics/closedAccesseng
dc.rights.localAcceso cerradospa
dc.subject.keywordTopologyeng
dc.subject.keywordFinite element methodeng
dc.subject.keywordManifolds (Mathematics)eng
dc.subject.keywordHeuristic programmingeng
dc.subject.keywordGeometry, differentialeng
dc.subject.keywordTriangulationeng
dc.subject.keywordTriangulación de Delaunayspa
dc.subject.keywordModelado geométricospa
dc.subject.keywordSuperficies NURBSspa
dc.subject.keywordAlgoritmos heurísticosspa
dc.subject.keywordGeometría computacionalspa
dc.subject.keywordAplicación de Weingartenspa
dc.subject.lembTOPOLOGÍAspa
dc.subject.lembMÉTODO DE ELEMENTOS FINITOSspa
dc.subject.lembVARIEDADES (MATEMÁTICAS)spa
dc.subject.lembPROGRAMACIÓN HEURÍSTICAspa
dc.subject.lembGEOMETRÍA DIFERENCIALspa
dc.subject.lembTRIANGULACIÓNspa
dc.titleGabriel-constrained Parametric Surface Triangulationeng
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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