The $64$ x $64$ size binary images shown are quite different but their

histograms are the same. Suppose each image is blurred with a $3$ x $3$

averaging filter. $($a$)$ Would the histogram of the blurred images still be

equal? Explain. $($b$)$ If no$,$ sketch the two histograms. $($black $=0,$ White $=$

$255$ and each square block is of size $16$ x $16,$ ignore the outer black border$).$