$($a$)$ Use your results from Part$-4$ to write a computer program capable of extracting $($and counting$)$ the connected components from a binary image. $($b$)$ Download Fig. $9\mathrm{.}20($a$)$ of $4$th Ed $[$Fig$.9\mathrm{.}18($a$)$ of $3$rd Ed$.]$ and approximate the results in Example $9\mathrm{.}7.$