Compute the Sobel gradient components without using a computer for the 11x11 input image f(m,n). For...

 

Transcribed Image Text:

Compute the Sobel gradient components without using a computer for the 11x11 input image f(m,n). For 0 m, n 10, f(m,n) has a value of 100 when both m and n are greater than or equal to 5, and otherwise has a value of 0. a.) Convolve f(m,n) with the Sobel filter H1 = [1 2 1; 0 0 0; -1 -2 -1] to produce valid output of gl(m,n). Find the values of indices (m, n) where gl is not zero. For these indices find the value of gl. b.) Repeat (a) using H2 = [ 1 0 -1; 2 0 -2; 1 0 -1] to produce g2(m,n). c.) Interpret the vector [g1(m, n), g2(m, n)] as a gradient indicating a magnitude and a direction of change of the image intensity at (m,n). Using the values computed in (a) and (b), compute the magnitude of the gradient at each pixel. Compute the Sobel gradient components without using a computer for the 11x11 input image f(m,n). For 0 m, n 10, f(m,n) has a value of 100 when both m and n are greater than or equal to 5, and otherwise has a value of 0. a.) Convolve f(m,n) with the Sobel filter H1 = [1 2 1; 0 0 0; -1 -2 -1] to produce valid output of gl(m,n). Find the values of indices (m, n) where gl is not zero. For these indices find the value of gl. b.) Repeat (a) using H2 = [ 1 0 -1; 2 0 -2; 1 0 -1] to produce g2(m,n). c.) Interpret the vector [g1(m, n), g2(m, n)] as a gradient indicating a magnitude and a direction of change of the image intensity at (m,n). Using the values computed in (a) and (b), compute the magnitude of the gradient at each pixel.