A curvature-sensitive parameterization-independent triangulation algorithm

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dc.contributor.authorRuíz, Óscar
dc.contributor.authorCongote, John
dc.contributor.authorCadavid, Carlos
dc.contributor.authorLalinde, Juan G.
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-18T22:44:22Z
dc.date.available2016-11-18T22:44:22Z
dc.date.issued2008-09
dc.description.abstractTriangulations of a connected subset F of parametric surfaces S(u,v) (with continuity C2 or higher) are required because a C0 approximation of such F(called a FACE) is widely required for finite element analysis, rendering, manufacturing, design, reverse engineering, etc -- The triangulation T is such an approximation, when its piecewise linear subsets are triangles (which, on the other hand, is not a compulsory condition for being C0) -- A serious obstacle for algorithms which triangulate in the parametric space u−v is that such a space may be extremely warped, and the distances in parametric space be dramatically different of the distances in R3 -- Recent publications have reported parameter -independent triangulations, which triangulate in R3 space -- However, such triangulations are not sensitive to the curvature of the S(u,v) -- The present article presents an algorithm to obtain parameter-independent, curvature-sensitive triangulations -- The invariant of the algorithm is that a vertex v of the triangulation if identified, and a quasiequilateral triangulation around v is performed on the plane P tangent to S(u,v) at v -- The size of the triangles incident to v is a function of K(v), the curvature of S(u,v) at v -- The algorithm was extensively and successfully tested, rendering short running times, with very demanding boundary representationseng
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dc.identifier.citation@inproceedings{2008_Ruiz_Curvature, title={A Curvature-Sensitive Parameterization-Independent Triangulation Algorithm}, author={Ruiz, O. and Congote, J. and Cadavid, C. and Lalinde, J.G.}, booktitle={5th Annual International Symposium on Voronoi Diagrams in Science and Engineering. 4th International Kyiv Conference on Analytic Number Theory and Spatial Tessellations.}, volume={2}, isbn={967-966-02-4892-2}, address={Kiev, Ukraine}, year={2008}, }spa
dc.identifier.isbn967-966-02-4892-2
dc.identifier.urihttp://hdl.handle.net/10784/9713
dc.language.isoengspa
dc.relation.ispartofKyiv Conference on Analytic Number Theory and Spatial Tessellations, vol. 2, Sept. 2008spa
dc.rights.accessrightsinfo:eu-repo/semantics/closedAccesseng
dc.rights.localAcceso cerradospa
dc.subject.keywordFinite element methodeng
dc.subject.keywordHeuristic programmingeng
dc.subject.keywordTriangulationeng
dc.subject.keywordGeometría epipolarspa
dc.subject.keywordRenderizaciónspa
dc.subject.keywordIngeniería inversaspa
dc.subject.keywordSuperficies NURBSspa
dc.subject.keywordDegeneración (Matemáticas)spa
dc.subject.keywordAproximaciones de Bezierspa
dc.subject.lembMÉTODO DE ELEMENTOS FINITOSspa
dc.subject.lembPROGRAMACIÓN HEURÍSTICAspa
dc.subject.lembTRIANGULACIÓNspa
dc.titleA curvature-sensitive parameterization-independent triangulation algorithmeng
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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