1. Question 1: (a) Show the resulting image obtained after convolution of the below original image with the filter (-1,0,1) in the horizontal direction. 0 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 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1* 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 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 0 (5 marks) (b) Compute gradient magnitude and gradient orientation at pixels (3,4), (5, 4) 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. (5 marks) (c) What is the aim of the non-maximum suppression step in Canny edge detection method and how to do it? (5 marks) (d) In Harris corner detection algorithm, to determine whether or not there is a potential corner at a pixel in the image, we consider the second moment matrix M which is computed over a region around the pixel. The matrix M is calculated as below. M= w(x,y)/(x,y) w(x,y)){(x, y)I,(x, y) w(x,y),(x,y)], (x,y) w(x,y)]}(x, y) X xy where It, Iy are derivatives in the horizontal and vertical directions, respectively; w is a Gaussian window or a box window. Present how to determine whether or not there is a potential corner at the pixel using matrix M. (5 marks) 1. Question 1: (a) Show the resulting image obtained after convolution of the below original image with the filter (-1,0,1) in the horizontal direction. 0 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 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 1 1 1 1* 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 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 0 (5 marks) (b) Compute gradient magnitude and gradient orientation at pixels (3,4), (5, 4) 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. (5 marks) (c) What is the aim of the non-maximum suppression step in Canny edge detection method and how to do it? (5 marks) (d) In Harris corner detection algorithm, to determine whether or not there is a potential corner at a pixel in the image, we consider the second moment matrix M which is computed over a region around the pixel. The matrix M is calculated as below. M= w(x,y)/(x,y) w(x,y)){(x, y)I,(x, y) w(x,y),(x,y)], (x,y) w(x,y)]}(x, y) X xy where It, Iy are derivatives in the horizontal and vertical directions, respectively; w is a Gaussian window or a box window. Present how to determine whether or not there is a potential corner at the pixel using matrix M