Given a $4 \times 4$ image, find the $4 \times 4$ lowpass filtered output using the $3 \times 3$ Gaussian filter ( $\sigma=0.5$ ) with the borders zero-padded.
$$
x(m, n)=\left[\begin{array}{llll}
95 & 82 & 54 & 33 \\
84 & 78 & 56 & 64 \\
73 & 71 & 53 & 60 \\
73 & 73 & 54 & 36
\end{array}\right]
$$