An improvement on geometrical parameterizations by transfinite maps

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.


Published in:
Comptes rendus des séances de l'Académie des Sciences. Série A, Sciences mathématiques**, 352, 3, 263-268
Year:
2014
Publisher:
Paris, Elsevier France-Editions Scientifiques Medicales Elsevier
ISSN:
0249-6291
Keywords:
Note:
MATHICSE report 42.2013
Laboratories:




 Record created 2014-02-24, last modified 2018-03-17

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