A bivariate \(C^ 2\) Clough-Tocher scheme
Let \({\mathcal D}\) be a two-dimensional domain that has been triangulated. Using the technique of his earlier paper [ibid. 1, 169-181 (1984; Zbl 0566.65003)] the author constructs a bivariate \({\mathcal C}^ 2\)-interpolant on \({\mathcal D}\) that requires \({\mathcal C}^ 2\) data at the scattered points. The scheme is local and has cubic precision.
scientific article; zbMATH DE number 3963061