Fitting of Analytic Surfaces to Noisy Point Clouds

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dc.citation.epage26spa
dc.citation.issue1Aspa
dc.citation.journalAbbreviatedTitleAJCMspa
dc.citation.journalTitleAmerican Journal of Computational Mathematicseng
dc.citation.journalTitleAmerican Journal of Computational Mathematicsspa
dc.citation.spage18spa
dc.citation.volume3spa
dc.contributor.authorRuíz, Óscar
dc.contributor.authorArroyave, Santiago
dc.contributor.authorAcosta, Diego
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería Mecánicaspa
dc.contributor.researchgroupLaboratorio CAD/CAM/CAEspa
dc.date.accessioned2016-11-18T22:20:00Z
dc.date.available2016-11-18T22:20:00Z
dc.date.issued2013-04
dc.description.abstractFitting -continuous or superior surfaces to a set of points sampled on a 2-manifold is central to reverse engi- neering, computer aided geometric modeling, entertaining, modeling of art heritage, etc -- This article addresses the fit- ting of analytic (ellipsoid, cones, cylinders) surfaces in general position in -- Currently, the state of the art presents limitations in 1) automatically finding an initial guess for the analytic surface F sought, and 2) economically estimat- ing the geometric distance between a point of and the analytic surface SF -- These issues are central in estimating an analytic surface which minimizes its accumulated distances to the point set -- In response to this situation, this article presents and tests novel user-independent strategies for addressing aspects 1) and 2) above, for cylinders, cones and ellipsoids -- A conjecture for the calculation of the distance point-ellipsoid is also proposed -- Our strategies produce good initial guesses for F and fast fitting error estimation for F, leading to an agile and robust optimization algorithm -- Ongoing work addresses the fitting of free-form parametric surfaces to Seng
dc.formatapplication/pdfeng
dc.identifier.doi10.4236/ajcm.2013.31A004
dc.identifier.issn2161-1203
dc.identifier.urihttp://hdl.handle.net/10784/9685
dc.language.isoengeng
dc.publisherScientific Research Publishingspa
dc.relation.ispartofAmerican Journal of Computational Mathematics, Volume 3, Issue 1A, pp 18-26spa
dc.relation.urihttp://www.scirp.org/journal/PaperInformation.aspx?PaperID=30864
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.localAcceso abiertospa
dc.subject.keywordConespa
dc.subject.keywordCylindersspa
dc.subject.keywordMathematical optimizationspa
dc.subject.keywordVirtual realityspa
dc.subject.keywordAnalytic functionsspa
dc.subject.keywordImage processingspa
dc.subject.keywordIterative methods (mathematics)spa
dc.subject.keywordConeeng
dc.subject.keywordCylinderseng
dc.subject.keywordMathematical optimizationeng
dc.subject.keywordVirtual realityeng
dc.subject.keywordAnalytic functionseng
dc.subject.keywordImage processingeng
dc.subject.keywordIterative methods (mathematics)eng
dc.subject.keywordSistemas CAD/CAM.keywor
dc.subject.lembCONO (MATEMÁTICAS)spa
dc.subject.lembCILINDROSspa
dc.subject.lembOPTIMIZACIÓN MATEMÁTICAspa
dc.subject.lembREALIDAD VIRTUALspa
dc.subject.lembFUNCIONES ANALÍTICASspa
dc.subject.lembPROCESAMIENTO DE IMÁGENESspa
dc.subject.lembMÉTODOS ITERATIVOS (MATEMÁTICAS)spa
dc.titleFitting of Analytic Surfaces to Noisy Point Cloudseng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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