Publikation: An improvement on geometrical parameterizations by transfinite maps
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Zusammenfassung
We present a method to generate a non-affine transfinite map from a given reference domain to a family of deformed domains. The map is a generalization of the Gordon–Hall transfinite interpolation approach. It is defined globally over the reference domain. Once we have computed some functions over the reference domain, the map can be generated by knowing the parametric expressions of the boundaries of the deformed domain. Being able to define a suitable map from a reference domain to a desired deformation is useful for the management of parameterized geometries.
Zusammenfassung in einer weiteren Sprache
Nous présentons une méthode pour générer une transformation paramétrisée d'une géométrie de référence vers une famille de géométries déformées. La transformation est une généralisation de l'approche d'interpolation transfinie de Gordon–Hall et est définie globalement sur le domaine de référence. Une fois qu'on a calculé certaines fonctions sur le domaine de référence, la transformation peut être générée à partir des paramétrisations des bords du domaine déformé. Il est utile pour le maniement des géométries déformées d'être capable de définir une transformation appropriée d'un domaine de référence vers une déformation souhaitée.
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JÄGGLI, Christoph, Laura IAPICHINO, Gianluigi ROZZA, 2014. An improvement on geometrical parameterizations by transfinite maps. In: Comptes Rendus Mathematique. 2014, 352(3), pp. 263-268. ISSN 1631-073X. eISSN 1778-3569. Available under: doi: 10.1016/j.crma.2013.12.017BibTex
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title={An improvement on geometrical parameterizations by transfinite maps},
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