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A bivariate \(C^ 2\) Clough-Tocher scheme. (English) Zbl 0597.65005
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.
Reviewer: V.V.Vasil’ev

65D05 Numerical interpolation
41A05 Interpolation in approximation theory
41A63 Multidimensional problems (should also be assigned at least one other classification number from Section 41-XX)
Full Text: DOI
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