Transfinite interpolation: Difference between revisions

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In [[numerical analysis]], '''transfinite interpolation''' is a means to construct [[Function (mathematics)|functions]] over a planar ___domain in such a way that they match a given function on the boundary. This method is applied in [[geometric model]]ling and in the field of [[finite element method]].

ThisThe transfinite interpolation method, first introduced by William J. Gordon and Charles A. Hall<ref name="Hall73"/>, receives its name due to how a function belonging to this class is able to match the primitive function at a nondenumerable number of points.<ref>{{Citation

| first = William

| last = Gordon

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== References ==

<references/>

<ref name="Hall73">{{cite journal

| first1 = William

| last1 = Gordon

| author-link =

| first2 = Gordon

| last2 = Hall

| title = Construction of curvilinear coordinate systems and application to mesh generation

| journal = International Journal for Numerical Methods in Engineering

| volume = 7

| pages = 461-177

| date = 1973

}}

</ref>

</references>

* Dyken, C., Floater, M. "Transfinite mean value interpolation", ''Computer Aided Geometric Design'', Volume 26, Issue 1, January 2009, Pages 117&ndash;134