Abstract
A new method for function interpolation on a set of arbitrary points in a finite-dimensional Euclidean space E n is presented. This method differs from the well-known Sibson method. The properties of the new method are described including specific “harmonic” property. Comparison with the Sibson interpolation and with the interpolation based on the Delaunay triangulation are reviewed. The effective and economical algorithm for isolines generation based on the non-Sibsonian and the Delaunay interpolations is presented. The isolines have no intersections nor any losses in the numerical information. A compact algorithm of the higher-order non-Sibsonian interpolation is also described.
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