FIRST QUESTION X=6 Y=3

SECOND QUESTIONS X=6

Problem 1: (20 points) [You will use your student ID parameter X,Y in this question] Write the 3-by-3 homography matrix for the following transformations: (a) The image is translated by (X,Y) pixels. (b) The image is scaled by a factor of X in horizontal direction and by Y in vertical direction. (c) The image is rotated by X degrees clockwise. (d) The image is first translated by (X,Y) pixels and then rotated by X degrees clockwise. Problem 2: (24 points) [You will use your student ID parameter X in this question] For the image given above, do the following steps: (a) Calculate the horizontal and vertical derivatives for the shaded pixels using filter [1,0,1] and its transpose, respectively. (Denote these derivates as Ix and Iy.) (b) Using a 3-by-3 averaging filter g( ) , calculate the following values at the center position: g(Ix2),g(Iy2), and g(IxIy). (c) Calculate the Harris cornerness response at the center position