Abstract
For Hermite-Birkhoff interpolation of scattered multidimensional data by radial basis function φ, existence and characterization theorems and a variational principle are proved. Examples include φ(r)=rb, Duchon’s thin-plate splines, Hardy’s multiquadrics, and inverse multiquadrics.
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Zongmin, W. Hermite-Birkhoff interpolation of scattered data by radial basis functions. Approx. Theory & its Appl. 8, 1–10 (1992). https://doi.org/10.1007/BF02836101
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DOI: https://doi.org/10.1007/BF02836101