Image Processing $7\mathrm{.}1$ Assume that a bi$-$level input image x$[$ni$,$ n$2]$ of $512$x$512$ as shown below, where the dark region has amplitude of $50$ and the white background has amplitude of $2005110511$ xIn$1,$ n$2$l An edge detector $($consisting of two filters$)$ is applied to x$[$n$,,$ n$2]$ which will produce two filtered images G$($x$[$n$,,$ n$2])$ and G$2($x$[$ni$,$ n$2]).$ These two images will be combined to form one gray level image y$[$n$,,$ n$2]$ using the absolute sum A segmentation will then be performed on this image to produce a binary edge image. Assume that segmentation is based on the operator $255($white if In$,2$T $7\mathrm{.}1\mathrm{.}1.$ Use Roberts edge detector on this image. Select an appropriate threshold values T such that z$[$n$1,$ n$2]$ will only show all the edges. Specify your threshold T and sketch your output image $7\mathrm{.}1\mathrm{.}2.$ Repeat $7\mathrm{.}1\mathrm{.}1.$ using Prewitt edge detector