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2010

Error bounds for anisotropic RBF interpolation

9 years 10 months ago
Error bounds for anisotropic RBF interpolation
We present error bounds for the interpolation with anisotropically transformed radial basis functions for both function and its partial derivatives. The bounds rely on a growth function and do not contain unknown constants. For polyharmonic basic functions in R2 we show that the anisotropic estimates predict a significant improvement of the approximation error if both the target function and the placement of the centres are anisotropic, and this improvement is confirmed numerically.
Richard K. Beatson, Oleg Davydov, Jeremy Levesley
Added 28 Jan 2011
Updated 28 Jan 2011
Type Journal
Year 2010
Where JAT
Authors Richard K. Beatson, Oleg Davydov, Jeremy Levesley
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