Table 2 Some piecewise smooth RBFs with \({\text{r}} \in {\text{x}}\)
From: A review of radial basis function with applications explored
RBFs | Definition |
|---|---|
Thin plate spline (TPS) | \(\varphi \left( r \right) = r^{2} \ln \left( r \right)\) |
Linear radial function (LR) | \(\varphi \left( r \right) = r\) |
Cubic function | \(\varphi \left( r \right) = r^{3}\) |
Monomial | \(\varphi \left( r \right) = r^{2k - 1} ;k \in {\mathbb{N}}\) |