Gaussian Filter

Used in DSP.

$K(x,x^{\prime })=exp(-\gamma ||x-x^{\prime }|{|}^2)$

introduced to me by Cyrill Stachniss.

$G(x,y)=\frac{1}{2\pi {\sigma }^2}\exp \left(-\frac{x^2+y^2}{2{\sigma }^2}\right)$

The Convolution Version

https://www.southampton.ac.uk/~msn/book/new_demo/gaussian/

$$\left[\begin{array}{ccc}1& 2& 1\\ 2& 4& 2\\ 1& 2& 1\end{array}\right]$$

Related

• Gaussian Process