Sensitivity analysis in optimized parametric curve fitting

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dc.citation.journalTitleEngineering Computationseng
dc.contributor.authorRuiz, Oscar E.
dc.contributor.authorCortes, Camilo
dc.contributor.authorAcosta, Diego A.
dc.contributor.authorAristizabal, Mauricio
dc.contributor.departmentUniversidad EAFIT. Departamento de Ingeniería de Procesosspa
dc.contributor.researchgroupDesarrollo y Diseño de Procesosspa
dc.date.accessioned2021-04-12T19:06:19Z
dc.date.available2021-04-12T19:06:19Z
dc.date.issued2015-03-02
dc.description.abstractPurpose-Curve fitting from unordered noisy point samples is needed for surface reconstruction in many applications. In the literature, several approaches have been proposed to solve this problem. However, previous works lack formal characterization of the curve fitting problem and assessment on the effect of several parameters (i.e. scalars that remain constant in the optimization problem), such as control points number (m), curve degree (b), knot vector composition (U), norm degree (k ), and point sample size (r) on the optimized curve reconstruction measured by a penalty function ( f ). The paper aims to discuss these issues. Design/methodology/approach-A numerical sensitivity analysis of the effect of m, b, k and r on f and a characterization of the fitting procedure from the mathematical viewpoint are performed. Also, the spectral (frequency) analysis of the derivative of the angle of the fitted curve with respect to u as a means to detect spurious curls and peaks is explored. Findings-It is more effective to find optimum values for m than k or b in order to obtain good results because the topological faithfulness of the resulting curve strongly depends on m. Furthermore, when an exaggerate number of control points is used the resulting curve presents spurious curls and peaks. The authors were able to detect the presence of such spurious features with spectral analysis. Also, the authors found that the method for curve fitting is robust to significant decimation of the point sample. Research limitations/implications-The authors have addressed important voids of previous works in this field. The authors determined, among the curve fitting parameters m, b and k, which of them influenced the most the results and how. Also, the authors performed a characterization of the curve fitting problem from the optimization perspective. And finally, the authors devised a method to detect spurious features in the fitting curve. Practical implications-This paper provides a methodology to select the important tuning parameters in a formal manner. Originality/value-Up to the best of the knowledge, no previous work has been conducted in the formal mathematical evaluation of the sensitivity of the goodness of the curve fit with respect to different possible tuning parameters (curve degree, number of control points, norm degree, etc.). © Emerald Group Publishing Limited.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1238
dc.identifier.doi10.1108/EC-03-2013-0086
dc.identifier.issn02644401
dc.identifier.issn17587077
dc.identifier.otherWOS;000350577000003
dc.identifier.otherSCOPUS;2-s2.0-84922876391
dc.identifier.urihttp://hdl.handle.net/10784/28234
dc.language.isoeng
dc.publisherEMERALD GROUP PUBLISHING LIMITED
dc.relationDOI;10.1108/EC-03-2013-0086
dc.relationWOS;000350577000003
dc.relationSCOPUS;2-s2.0-84922876391
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84922876391&doi=10.1108%2fEC-03-2013-0086&partnerID=40&md5=da6b48036dd7855575ef79ab635f2ebe
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0264-4401
dc.sourceEngineering Computations
dc.subjectCharacterizationeng
dc.subjectFeature extractioneng
dc.subjectOptimizationeng
dc.subjectParameter estimationeng
dc.subjectProblem solvingeng
dc.subjectReverse engineeringeng
dc.subjectSensitivity analysiseng
dc.subjectSpectrum analysiseng
dc.subjectSurface reconstructioneng
dc.subjectCurve fitting problemseng
dc.subjectCurve reconstructioneng
dc.subjectFitting parameterseng
dc.subjectFitting procedureeng
dc.subjectNoisy pointeng
dc.subjectNumerical sensitivityeng
dc.subjectOptimization problemseng
dc.subjectParametric curve fittingeng
dc.subjectCurve fittingeng
dc.titleSensitivity analysis in optimized parametric curve fittingeng
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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