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Scattered data interpolation on the torus by compactly supported multinode Shepard operators

Dell'Accio, F. et al.
arXiv (OAI Expanded) · Papers
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65d05numerical-analysis
We introduce a compactly supported multinode Shepard operator for the interpolation of scattered data on the torus embedded in $\mathbb{R}^3$. The method combines local polynomial interpolation of total degree $d\in \mathbb{N}$ with compactly supported Shepard-type weights, so that the approximation
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