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A modified Clough-Tocher interpolant. (English) Zbl 0586.65007

The Clough-Tocher interpolant is a standard scheme for scattered data interpolation. For its mostly used form one has to estimate so-called cross-boundary derivatives. This is usually done by ”condensation of parameters”; the present paper suggests a different method. It is based on minimizing jump discontinuities in the second derivatives. As a verification method, so-called reflection lines are simulated.

MSC:

65D05 Numerical interpolation
41A05 Interpolation in approximation theory
41A63 Multidimensional problems
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References:

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