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Smoothing and untangling triangular meshes on surfaces
- Source :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Recercat. Dipósit de la Recerca de Catalunya, instname
- Publication Year :
- 2010
- Publisher :
- Universitat Politècnica de Catalunya, 2010.
-
Abstract
- In this work it has been developed the basis of shape quality metrics for triangular meshes on surfaces. It has also been worked out a simultaneous smoothing-untangling procedure based on the ideas introduced by Escobar. This procedure is designed through the minimization of an objective function (inverse of the quality of the mesh). We have increased the computational efficiency of the original method by adding a new algorithm for the search of the optimal projection plane. Moreover we have carried out a more robust discussion of the theoretical construction of the objective function for this new algorithm. Finally, several examples have been presented in order to illustrate the capabilities of the proposed method.
- Subjects :
- Mesh
Surface
Triangles
Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials [Àrees temàtiques de la UPC]
Equacions en derivades parcials
Differential equations, Partial
35 Partial differential equations [Classificació AMS]
Minimization
Smoothing
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- UPCommons. Portal del coneixement obert de la UPC, Universitat Politècnica de Catalunya (UPC), Recercat. Dipósit de la Recerca de Catalunya, instname
- Accession number :
- edsair.dedup.wf.001..36f00433de2e31c2d5e7cf41300db773