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dc.contributor.authorKosinka, Jiří
dc.contributor.authorBarton, Michael
dc.date.accessioned2016-02-14T14:13:45Z
dc.date.available2016-02-14T14:13:45Z
dc.date.issued2016-02-13
dc.identifier.citationConvergence of barycentric coordinates to barycentric kernels 2016 Computer Aided Geometric Design
dc.identifier.issn01678396
dc.identifier.doi10.1016/j.cagd.2016.02.003
dc.identifier.urihttp://hdl.handle.net/10754/596178
dc.description.abstractWe investigate the close correspondence between barycentric coordinates and barycentric kernels from the point of view of the limit process when finer and finer polygons converge to a smooth convex domain. We show that any barycentric kernel is the limit of a set of barycentric coordinates and prove that the convergence rate is quadratic. Our convergence analysis extends naturally to barycentric interpolants and mappings induced by barycentric coordinates and kernels. We verify our theoretical convergence results numerically on several examples.
dc.language.isoen
dc.publisherElsevier BV
dc.relation.urlhttp://linkinghub.elsevier.com/retrieve/pii/S0167839616300048
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Computer Aided Geometric Design. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Computer Aided Geometric Design, 12 February 2016. DOI: 10.1016/j.cagd.2016.02.003
dc.subjectBarycentric coordinates
dc.subjectBarycentric kernel
dc.subjectConvergence
dc.titleConvergence of barycentric coordinates to barycentric kernels
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Porous Media SRI Center (NumPor)
dc.identifier.journalComputer Aided Geometric Design
dc.eprint.versionPost-print
dc.contributor.institutionJohann Bernoulli Institute, University of Groningen, The Netherlands
dc.contributor.affiliationKing Abdullah University of Science and Technology (KAUST)
kaust.personBarton, Michael
refterms.dateFOA2018-02-12T00:00:00Z
dc.date.published-online2016-02-13
dc.date.published-print2016-03


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