Please explain each step

1. You are given the following kernel and image: [J [l U U U 1 2 1 U U 1 D U a 2 r1 2 f [l [I 1 CI 0 l 2 l [l U l 0 t] H (l l} U U {a} Use the mechanics of spatial lter when the kernel is centered at point (2, 3) (2nd row, 3rd col), show calculation procedure at this point of w and f. (b) Compute the convolution, w 9: f. Show the details of your computations when the kernel is centered on point (2, 3] off; and then show the nal full convolution result. {c} Compute the correlation, wirf. Show the details of your computations when the kernel is centered on point (2, 3) of f; and then show the nal full correlation n result. (d) If the kernel is separable, then the kernel can be expressed as product of two vectors, w = vlmT. Decide whether the kernel w is separable. {e} Prove that ifthc kernel is separable, w ir f = v. 1(1); it f]. 2. Answer the following questions: (a). If!) = [l 2 l]'1r and WT = [2 l l 3] , is the kernel formed by va separable? (b). The following kernel is separatable. Find WI and W2 such that w = W1 * We [1 3 l] \"J- = 2 2