$\backslash$table$[[2,($a$)$ An image I is filtered with a kernel $u$ : where$]]$

$f=\left[\begin{array}{ccc}1& 0& 1\\ 1& 1& 1\\ 1& 0& 1\end{array}\right],w=\frac{1}{4}\left[\begin{array}{ccc}0& 1& 0\\ 1& 0& 1\\ 0& 1& 0\end{array}\right]$

Compute the filtered image that should be of the same size as the input $f.$ Also, show that the kernel IV will blur the output $($filtered$)$ image.Explain in detail