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Interpolation by multivariate splines. (English) Zbl 0648.41006
Summary: A general interpolation scheme by multivariate splines at regular sample points is introduced. This scheme guarantees the local optimal order of approximation to sufficiently smooth data functions. A discussion on numerical implementation is included.

MSC:
41A15 Spline approximation
41A63 Multidimensional problems
41A05 Interpolation in approximation theory
65D15 Algorithms for approximation of functions
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