Edge$\_1)$ You are given an $8-$bits $10$x$7$ image as follows:

$\backslash$table$[[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,10,10,10,10,10,0,0,0],[0,0,10,10,10,10,10,0,0,0],[0,0,10,10,10,10,10,0,0,0],[0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,0,0]]$

Assume that intensity values outside the image are zero.

a$)$ Compute x$-$derivative and y$-$derivative image by using central difference. Write resulting intensity values for each pixel.

b$)$ Compute gradient magnitudes and directions $($in degrees$)$ for pixels marked with bold.