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In the authors' words:
{{centered pull quote| We use the term ‘transfinite’ to describe the general class of interpolation schemes studied herein since, unlike the classical methods of higher dimensional interpolation which match the primitive function F at a finite number of distinct points, these methods match F at a non-denumerable (transfinite) number of points.}}
Transfinite interpolation is similar to the [[Coons patch]], invented in 1967. <ref name="coons">Steven A. Coons, Surfaces for computer-aided design of space forms, Technical Report MAC-TR-41, Project MAC, MIT, June 1967. </ref>
== Formula ==
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