Q$1$ Segment the binary image shown in Figure $Q1.$

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$($a$)$ Write short notes on neighbors of a pixel.

$[7]$

$($b$)$Label all segmented subsets using $4-$adjacency for $1s$ and $8-$adjacency for $0s.$

$[6]$

$($c$)$ Label all segmented subsets using $8-$adjacency for $1$s and $4-$adjacency for $0s.$

$[6]$

$($d$)$ Design a $2$D median filter that ONLY removes the circled element $1$ after median filtering operation $($all the rest elements should remain the same$).$

$6$