an:03963061
Zbl 0597.65005
Alfeld, Peter
A bivariate \(C^ 2\) Clough-Tocher scheme
EN
Comput. Aided Geom. Des. 1, 257-267 (1984).
00149961
1984
j
65D05 41A05 41A63
Clough-Tocher; bivariate interpolation; triangulation; piecewise polynomials
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.
V.V.Vasil'ev
Zbl 0566.65003