Non-Sibsonian interpolation on arbitrary system of points in Euclidean space and adaptive isolines generation
A new method for function interpolation on a set of arbitrary points in a finite-dimensional Euclidean space \(\mathbb E^n\) is presented. The properties of the new method are described including a specific ''harmonic'' property. A comparison with the Sibson interpolation and with the interpolation based on the Delaunay triangulation are reviewed. The authors present a compact algorithm for the construction of higher-order interpolation and describe the results obtained by applying the effective algorithm of isolines generation based on non-Sibsonian interpolation and Delaunay triangulation. Numerical results of isolines generation are presented for tests and for results obtained in the field of fluid dynamics modelling.
scientific article; zbMATH DE number 1437643