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dc.contributor.authorAparicio Estrems, Guillermo
dc.contributor.authorGargallo Peiró, Abel
dc.contributor.authorRoca Navarro, Francisco Javier
dc.contributor.otherUniversitat Politècnica de Catalunya. Doctorat en Matemàtica Aplicada
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental
dc.contributor.otherBarcelona Supercomputing Center
dc.identifier.citationAparicio, G.; Gargallo, A.; Roca, X. Defining a stretching and alignment aware quality measure for linear and curved 2D meshes. A: International Meshing Roundtable. "27th International Meshing Roundtable". Berlín: Springer, 2018, p. 37-55.
dc.description.abstractWe define a regularized shape distortion (quality) measure for curved high-order 2D elements on a Riemannian plane. To this end, we measure the deviation of a given 2D element, straight-sided or curved, from the stretching and alignment determined by a target metric. The defined distortion (quality) is suitable to check the validity and the quality of straight-sided and curved elements on Riemannian planes determined by constant and point-wise varying metrics. The examples illustrate that the distortion can be minimized to curve (deform) the elements of a given high-order (linear) mesh and try to match with curved (linear) elements the point-wise alignment and stretching of an analytic target metric tensor.
dc.description.sponsorshipThis project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme under grant agreement No 715546. This work has also received funding from the Generalitat de Catalunya un-der grant number 2017 SGR 1731. The work of X. Roca has been partially supported by the Spanish Ministerio de Economía y Competitividad under the personal grant agreement RYC-2015-01633.
dc.format.extent19 p.
dc.subjectÀrees temàtiques de la UPC::Informàtica::Infografia
dc.subject.lcshComputational geometry
dc.subject.lcshComputer graphics
dc.subject.other2d meshes
dc.subject.otherCurved elements
dc.subject.otherMetric tensor
dc.subject.otherPoint wise
dc.subject.otherQuality measures
dc.subject.otherShape distortions
dc.titleDefining a stretching and alignment aware quality measure for linear and curved 2D meshes
dc.typeConference report
dc.subject.lemacGeometria computacional
dc.contributor.groupUniversitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria
dc.description.peerreviewedPeer Reviewed
dc.rights.accessOpen Access
dc.description.versionPostprint (author's final draft)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/715546/EU/Best Curved Adapted Meshes for Space-Time Flow Simulations/Tesseract
local.citation.authorAparicio, G.; Gargallo, A.; Roca, X.
local.citation.contributorInternational Meshing Roundtable
local.citation.publicationName27th International Meshing Roundtable

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