(10 marks) Image Filtering. The original image is shown in Figure 1. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 0 0 2* 2 2 2 2 2 0 0 0 0 2 2 2 2 2* 2 0 0 0 0 1* 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Figure 1: The original image. (1) (5 marks) Show the resulting image obtained after convolution of the original image with the filter (-1,0,1) in the horizontal direction. (2) (5 marks) Compute gradient magnitude and gradient orientation at pixels (4,3), (6,3) and (5,7) (marked with * in the image) when applying filters (-1,0, 1] and [-1,0, 1]' at those points in horizontal and vertical directions respectively