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A trivariate Clough-Tocher scheme for tetrahedral data. (English) Zbl 0566.65003
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.
Reviewer: V.V.Vasil’ev

MSC:
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)
Software:
REDUCE
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References:
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