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dc.contributor.authorJiménez Ramos, Albert
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.citationJiménez-Ramos, A.; Gargallo, A.; Roca, X. Subdivided linear and curved meshes preserving features of a linear mesh model. A: International Meshing Roundtable. "Proceedings of the 28th International Meshing Roundtable: IMR28, 4-17 Oct. Buffalo, New York". Sandia National Laboratories, 2019, p. 19-36. ISBN 978-1-73348-900-3.
dc.description.abstractTo provide straight-edged and curved piece-wise polynomial meshes that target a unique smooth geometry while preserving the sharp features and smooth regions of the model, we propose a new fast curving method based on hierarchical subdivision and blending. There is no need for underlying target geometry, it is only needed a straight-edged mesh with boundary entities marked to characterize the geometry features, and a list of features to recast. The method features a unique sharp-to-smooth modeling capability not fully available in standard CAD packages. The goal is to obtain a volume mesh that under successive refinement leads to smooth regions bounded by the corresponding sharp features. The examples show that it is possible to refine and obtain smooth curves and surfaces while preserving sharp features determined by vertices and polylines. We conclude that the method is well-suited to curve large quadratic and quartic meshes in low-memory configurations.
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 under grant number 2017 SGR 1731. The work of the third author has been partially supported by the Spanish Ministerio de Economía y Competitividad under the personal grant agreement RYC-2015-01633.
dc.format.extent18 p.
dc.publisherSandia National Laboratories
dc.rightsAttribution 4.0 International
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional
dc.subjectÀrees temàtiques de la UPC::Informàtica::Infografia
dc.subject.lcshGeometrical models
dc.subject.lcshComputer graphics
dc.subject.otherMesh curving
dc.subject.otherSurrogate geometry
dc.subject.otherGeometry modeling
dc.titleSubdivided linear and curved meshes preserving features of a linear mesh model
dc.typeConference report
dc.subject.lemacModels geomètrics
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 (published version)
dc.relation.projectidinfo:eu-repo/grantAgreement/EC/H2020/715546/EU/Best Curved Adapted Meshes for Space-Time Flow Simulations/Tesseract
local.citation.authorJiménez-Ramos, A.; Gargallo, A.; Roca, X.
local.citation.contributorInternational Meshing Roundtable
local.citation.publicationNameProceedings of the 28th International Meshing Roundtable: IMR28, 4-17 Oct. Buffalo, New York

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Attribution 4.0 International
Except where otherwise noted, content on this work is licensed under a Creative Commons license : Attribution 4.0 International