$3.$ A $4$x$4$ gray$-$scale original image passes through three spatial linear shift$-$invariant filters.resulting in three filtered images

Shift$-$InvariantLinear Fiter

$7777$

$010$

$77$

$000$

$77$

$010$

Filtered Image

$121086$

Shift$-$InvariantLinear Filter $2$:

$7002600$

$1088642$

$5000$

$6420$

$400-1$

original image

Filtered Image $2$

Shift$-$InvariantaLinear Filter

$010$

$??$

$?$

$121$

$010$

Filtered Image

$($a$)$ Compute Filtered Image $1($Use zero$-$padding of the original image$).$

$($b$)$ Compute Filtered Image $3($Use zero$-$padding of the original image$).$

$($c$)$ Based on relationship between Filtered Image I. Filtered Image $2,$ and Filtered Image adetermine the filter coefficients in Shift$-$Invariant Linear$$Filter$2.$