PL-Geodesics on PL-continuous partial meshes

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dc.contributor.authorRuíz, Óscar E.
dc.contributor.authorCadavid M., Carlos A.
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-30T15:25:15Z
dc.date.available2016-11-30T15:25:15Z
dc.date.issued2001
dc.description.abstractGeometric characteristics of 2-manifolds embedded in R3 space have been analyzed from the point of view of differential geometry and topology -- In the past, results relevant to these areas have been found for C∞ curves and surfaces -- However, current scientific, industrial, entertainment and medical applications, and availability of more powerful point sampling systems, press for characterization of discrete counterparts for the continuous properties and characteristics evaluated previously in C∞ curves and surfaces -- Recent works have presented estimation methods for properties such as the principal and rotated quadrics of point sampled surfaces -- The present article uses the findings of previous investigations to propose and implement a method for evaluation of planarity of surfaces -- It is based on:(i) Estimation of a C0 partial mesh fitting sets of planar or grid sample points -- (ii) Evaluation of the piecewise - linear (PL) version of families of geodesic curves on the mesh -- (iii) Diagnostic of the property of planarity based on the behavior of the families of geodesic curves -- The present work can be applied in the area of design and manufacturing of products based on sheet materials, such as apparel, metal stamping, thin structures, etceng
dc.formatapplication/pdfeng
dc.identifier.citation@inproceedings{2001_Ruiz_PL-Geodesics, title={PL-Geodesics ON PL-Continuous Partial Meshes}, author={Ruiz, O. and Cadavid, C.}, booktitle={9-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision}, volume={1}, pages={110--119}, isbn={80-7082-712-4}, address={Czech Republic}, year={2001}, }spa
dc.identifier.isbn80-7082-712-4
dc.identifier.urihttp://hdl.handle.net/10784/9788
dc.language.isoengspa
dc.relation.ispartofProceedings of the 9-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision, Vol.1, pp.110-119, 2001spa
dc.rights.accessrightsinfo:eu-repo/semantics/closedAccesseng
dc.rights.localAcceso cerradospa
dc.subject.keywordShape theoryeng
dc.subject.keywordGeometry, differentialeng
dc.subject.keywordGeodesics (mathematics)eng
dc.subject.keywordCurveseng
dc.subject.keywordManifolds (Mathematics)eng
dc.subject.keywordAlgorithmseng
dc.subject.lembCOLECTORES (INGENIERÍA)spa
dc.subject.lembTEORÍA DE LA FORMA (TOPOLOGÍA)spa
dc.subject.lembGEOMETRÍA DIFERENCIALspa
dc.subject.lembGEODÉSICA (MATEMÁTICAS)spa
dc.subject.lembCURVASspa
dc.subject.lembVARIEDADES (MATEMÁTICAS)spa
dc.subject.lembALGORITMOSspa
dc.titlePL-Geodesics on PL-continuous partial mesheseng
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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