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A surface mesh smoothing and untangling method independent of the CAD parameterization
dc.contributor.author | Gargallo Peiró, Abel |
dc.contributor.author | Roca Navarro, Francisco Javier |
dc.contributor.author | Sarrate Ramos, Josep |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2015-07-01T08:01:33Z |
dc.date.available | 2015-07-01T08:01:33Z |
dc.date.created | 2014-04-01 |
dc.date.issued | 2014-04-01 |
dc.identifier.citation | Gargallo, A.; Roca, X.; Sarrate, J. A surface mesh smoothing and untangling method independent of the CAD parameterization. "Computational Mechanics", 01 Abril 2014, vol. 53, núm. 4, p. 587-609. |
dc.identifier.issn | 0178-7675 |
dc.identifier.uri | http://hdl.handle.net/2117/28479 |
dc.description.abstract | A method to optimize triangular and quadrilateral meshes on parameterized surfaces is proposed. The optimization procedure relocates the nodes on the surface to improve the quality (smooth) and ensures that the elements are not inverted (untangle). We detail how to express any measure for planar elements in terms of the parametric coordinates of the nodes. The extended measures can be used to check the quality and validity of a surface mesh. Then, we detail how to optimize any Jacobian-based distortion measure to obtain smoothed and untangled meshes with the nodes on the surface. We prove that this method is independent of the surface parameterization. Thus, it can optimize meshes on CAD surfaces defined by low-quality parameterizations. The examples show that the method can optimize meshes composed by a large number of inverted elements. Finally, the method can be extended to obtain high-order meshes with the nodes on the CAD surfaces. |
dc.format.extent | 23 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Optimització |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Investigació operativa::Programació matemàtica |
dc.subject.lcsh | Operations research |
dc.subject.lcsh | Programming (Mathematics) |
dc.subject.other | Mesh quality |
dc.subject.other | Mesh optimization |
dc.subject.other | Smoothing and untangling |
dc.subject.other | CAD surfaces |
dc.subject.other | QUALITY METRICS |
dc.subject.other | INITIAL MESHES |
dc.subject.other | OPTIMIZATION |
dc.subject.other | IMPROVEMENT |
dc.subject.other | TRIANGULATIONS |
dc.title | A surface mesh smoothing and untangling method independent of the CAD parameterization |
dc.type | Article |
dc.subject.lemac | Optimització i investigació operativa |
dc.subject.lemac | Programació (Matemàtica) |
dc.contributor.group | Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
dc.identifier.doi | 10.1007/s00466-013-0920-1 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | 90B Operations research and management science |
dc.subject.ams | 90C Mathematical programming |
dc.relation.publisherversion | http://link.springer.com/article/10.1007%2Fs00466-013-0920-1 |
dc.rights.access | Open Access |
local.identifier.drac | 14143238 |
dc.description.version | Postprint (author's final draft) |
local.citation.author | Gargallo, A.; Roca, X.; Sarrate, J. |
local.citation.publicationName | Computational Mechanics |
local.citation.volume | 53 |
local.citation.number | 4 |
local.citation.startingPage | 587 |
local.citation.endingPage | 609 |
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