# Shepard [Interpolation](Interpolation.md)
- $
\begin{cases}\Sigma^{N}_{i=1}w_{i}(x)f_{i}& \text{if } d(x,x_{i}) \neq 0 \forall i\\f_{i}& \text{if } d(x, x_{i})=0\\
\end{cases}
$
- $w_{i}(x) = \frac{1}{d(x,x_{i})^{p}}$
- Neighborhood N determines points aka radius