Write a function to "smooth" a black-and-white image by replacing each pocel by the average of itself and its neighbors. In MATLAB a black- and-white image is just a matrix of 1s and Os - 1 represents white, and 0 represents black To keep the algorithm simple, ignore the edges of the image - that is, do not change the first and last rows and columns function name = smooth_image() input argument = input matrix output argument = output matrix The algorithm can be described as follows: . Given an NoM input matrix Make a copy of the matrix - this will be the output matrix loop over rows 2 to N-1 of the input matrix loop over columns 2 to M-1 of the input matrix take the average of the 3,3 submatric centered on the current row & column set the corresponding element of the output matrix equal to this average Function e Reset DOMATLAB Documentation Code to call your function Reset 1 Imagel - zeros(10,10); Image1(2:9, 5:6) = 1; Imagel(5:6, 2:9) - 1; Image2 - smooth_image(Imagel) subplot(1,2,1) imshow(Image1) subplot(1,2,2) simshow(Image)