an:03903829
Zbl 0566.65003
Alfeld, Peter
A trivariate Clough-Tocher scheme for tetrahedral data
EN
Comput. Aided Geom. Des. 1, 169-181 (1984).
00149961
1984
j
65D05 41A05 41A63
Clough-Tocher scheme; scattered data; trivariate interpolation; tetrahedral interpolation
The author considers a three-dimensional domain which is tesselated into tetrahedra. He constructs a \({\mathcal C}^ 1\) interpolant for \({\mathcal C}^ 2\) data, that is a generalization of the well-known bivariate Clough- Tocher scheme. The interpolant is local, piecewise polynomial and has cubic precision. Some computational aspects are discussed.
V.V.Vasil'ev