Gaussian blur
= Gaussian blur
{c}
{title2=$G_\sigma*g$}
{wiki}
= Gaussian filtering
{c}
{synonym}
<Gaussian blur> applies <convolution> with $G_\sigma(x)=(2\pi\sigma^2)^{-n/2}e^{-|x|^2/(2\sigma^2)}$ to an <image signal>. It averages over a spatial scale $\sigma$, suppressing rapid variation while also blurring <image edges>. The <heat-kernel convolution> realizes this filter at time $t=\sigma^2/2$.