Do the following.

$($a$)$ How would you modify the Sobel and

Prewitt kernels in Fig. $10\mathrm{.}14$ so that they give

their strongest gradient response for edges

oriented at $\backslash$pm $\backslash$deg $45?$

$($b$)*$ Show that the Sobel and Prewitt kernels

in Fig. $10\mathrm{.}14,$ and in $($a$)$ above, and give isotropic results only for horizontal and vertical edges, and for edges oriented at $\backslash$pm $\backslash$deg $45,$

respectively.