Transfinite blending stands for interpolation or approximation in
functional spaces, where a bivariate mapping is generated by blending some
univariate maps with a suitable basis of polynomials. Analogously, a
three-variate mapping is generated by blending some bivariate maps with a
polynomial basis, and so on. For example, the standard Hermite generation
of cubic curves, where two extreme points and tangents are interpolated, is
readily applied to surfaces, where two extreme curves are interpolated with
assigned derivative curves, as well as to volume interpolation of two
assigned surfaces with assigned derivatives fields.