$($a$)$

$($i$)$

The intensity values of an $8-$bit $66$ image are given in the table below. The

prior knowledge is that there is a continuous edge in the image. Propose a

filter to suppress noise in this image, provide detailed reason for the type of

filter chosen.

$(5$ Marks$)$

$($ii$)$ The image in part $($a$)($i$)$ is acquired multiple times and the noise are random

over time. With this time$-$lapsed data, would you still use the same solution

as in part $($a$)($i$)?$ Explain the reason in detail.

$(5$ Marks$)$

$($b$)($i$)$ The intensity values of an $8-$bit $66$ image are given in the table below. The

prior knowledge is that there is a continuous edge in the image. Design a filter

to suppress noise in this image, provide detailed reason for the type and size

of filter chosen, and find out the output image after filtering.

$(10$ Marks$)$

$($ii$)$ With the result of part $($b$)($i$),$ propose an optimal mask to compute the

derivatives and explain your selection in detail.

$(5$ Marks$)$