(c) Use the following two operators Sx and Sy to determine the horizontal and vertical gradients...

  

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(c) Use the following two operators Sx and Sy to determine the horizontal and vertical gradients of the image / shown in Fig. 1. Assume that the gray-level intensities outside the image are all equal to 100. Sx=-101] and Sy = Denote the horizontal and vertical gradients at a point (x, y) as Ix(x, y) and ly(x, y), respectively. Compute the gradient magnitudes I,(x, y), defined as I, (x,y) = |x(x, y)|+|ly(x, y), of the image 1. Apply a threshold of 150 to detect edges, and show which pixels are edges. 0 1 2 3 4 0 100 100 100 100 100 1 100 200 200 200 100 2 100 200 200 200 100 3 100 200 200 200 100 4 100 100 100 100 100 y Fig. 1: Image /(x, y) (c) Use the following two operators Sx and Sy to determine the horizontal and vertical gradients of the image / shown in Fig. 1. Assume that the gray-level intensities outside the image are all equal to 100. Sx=-101] and Sy = Denote the horizontal and vertical gradients at a point (x, y) as Ix(x, y) and ly(x, y), respectively. Compute the gradient magnitudes I,(x, y), defined as I, (x,y) = |x(x, y)|+|ly(x, y), of the image 1. Apply a threshold of 150 to detect edges, and show which pixels are edges. 0 1 2 3 4 0 100 100 100 100 100 1 100 200 200 200 100 2 100 200 200 200 100 3 100 200 200 200 100 4 100 100 100 100 100 y Fig. 1: Image /(x, y)