Given: The image, f_rgb(x,y) = f_red(x,y) + f_green(x,y)+ f_blue(x,y):

1. Find: (100 pts)

a) Apply the spatial convolution filter (averaging kernel), k(x,y)_A = 1/9*[ 1 1 1; 1 1 1; 1 1 1] to f_red(x,y). b) display (using subplot) convolution f_red_hat(x,y) = k(x,y)_A*f(x,y)_red. Discuss your results.

2. Find: (100 pts)

a) Apply the spatial convolution filter (Prewitt kernel vertical), k(x,y)_V = [ -1 01; -1 0 1; -1 0 1] to f_green(x,y). b) display (using subplot) f_green_hat(x,y) = k(x,y)_V*f_green(x,y). Discuss your results.

3. Find: (100 pts)

a) Apply the spatial convolution filter (Prewitt kernel horizontal), k(x,y)_H = [ -1 -1 -1; 0 0 0; 1 1 1] to f_blue(x,y). b) display (using subplot) f_blue_hat(x,y) = k(x,y)_H*f_blue(x,y). Discuss your results.