The triangular Shepard method is a fast and accurate scheme for interpolating scattered data. In this paper, we introduce an improvement of the triangular Shepard method for interpolating functional and first order derivatives values at the scattered points. Theoretical and numerical results show that the proposed method reaches at least cubic approximation order. Its fastness, accuracy and simplicity make it usable in real world applications.
Fast and accurate scattered Hermite interpolation by triangular Shepard operators
Dell'Accio F.
;Di Tommaso F.;
2021-01-01
Abstract
The triangular Shepard method is a fast and accurate scheme for interpolating scattered data. In this paper, we introduce an improvement of the triangular Shepard method for interpolating functional and first order derivatives values at the scattered points. Theoretical and numerical results show that the proposed method reaches at least cubic approximation order. Its fastness, accuracy and simplicity make it usable in real world applications.File in questo prodotto:
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