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* Infinitely Smooth RBFs
These radial basis functions are from <math>C^\infty(\mathbb{R})</math> and are strictly[[Positive-definite function| positive definite functions]]<ref>{{cite book |last1=Fasshauer |first1=Gregory E. |title=Meshfree Approximation Methods with MATLAB |date=2007 |publisher=World Scientific Publishing Co. Pte. Ltd. |___location=Singapore |isbn=9789812706331 |pages=37–45}}</ref> that require tuning a shape parameter <math>\varepsilon</math>
:* [[Gaussian function|Gaussian]]:<math display="block">\varphi(r) = e^{-(\varepsilon r)^2}</math>
[[File:Gaussian function shape parameter.png|thumb|right|A [[Gaussian function]] for several choices of <math>\varepsilon</math>.]]
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