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.
- URL: http://mathicse.epfl.ch/files/content/sites/mathicse/files/Mathicse%20reports%202013/42.2013_CJ-LI-GR.pdf
MATHICSE report 42.2013
Record created on 2014-02-24, modified on 2016-08-09