# final - COMP344 Digital Image Processing Fall 2007 Final...

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Unformatted text preview: COMP344 Digital Image Processing Fall 2007 Final Examination Time allowed: 3 hours Name Student ID Email Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Total With model answer HK University of Science and Technology Page: 1 of 19 Course Code : COMP344 Section No.: ALL Time Allowed : 3 Hour(s) Course Title : Digital Image Processing Total Number of Pages : 19 Time allowed: 3 hours Answer all questions. The total mark for this quiz is 100. This is a closed-book quiz. 1. a) In the Hough Transform, a point ( x , y ) in the xy-plane is mapped into a curve in the ( ρ, θ )-parameter space. Write down the equation of the curve. (2 marks) 1. b) If we apply the Hough transform on the image below, what would be the maximum value for the accumulator cell in the ( ρ, θ ) space? What is the corresponding ( ρ, θ ) value? (5 marks) Note : each black square denotes a point and the numbers are the coordinates. HK University of Science and Technology Page: 2 of 19 Course Code : COMP344 Section No.: ALL Time Allowed : 3 Hour(s) Course Title : Digital Image Processing Total Number of Pages : 19 Answer to question 1 : 1. a) x cos( θ ) + y sin( θ ) = ρ 1. b) The maximum value is 8, corresponding to the horizontal line with vertical coordinate 5, because there are 8 points lying on this line. This line has the parameter ρ = 5 , θ = π/ 2. HK University of Science and Technology Page: 3 of 19 Course Code : COMP344 Section No.: ALL Time Allowed : 3 Hour(s) Course Title : Digital Image Processing Total Number of Pages : 19 2) The two texture images shown below are quite different, but their histograms are identical. Both images have size 80 × 80, with black (0) and white (1) pixels. 2. a) Suppose that both images are blurred with a 3 × 3 smoothing mask. Would the resultant histograms still be the same? Draw the two histograms and explain your answer. (5 marks) Note : the black lines are used to signify the boundaries of the two images but not part of them. HK University of Science and Technology Page: 4 of 19 Course Code : COMP344 Section No.: ALL Time Allowed : 3 Hour(s) Course Title : Digital Image Processing Total Number of Pages : 19 2. b) For image (b), compute the co-occurrence matrix corresponding to the property “a pixel to the right”. Each grid (black or white) in image (b) is of size 10 × 10. (5 marks) Answer to question 2 : 2. a) the histograms will no longer be the same. They are plotted as follows 0.5 1 500 1000 1500 2000 2500 3000 3500 a 0.5 1 500 1000 1500 2000 2500 b 2. b) The co-occurrence matrix is bracketleftbigg 2880 280 280 2880 bracketrightbigg . HK University of Science and Technology Page: 5 of 19 Course Code : COMP344 Section No.: ALL Time Allowed : 3 Hour(s) Course Title : Digital Image Processing Total Number of Pages : 19 3. a) Given a sequence of...
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final - COMP344 Digital Image Processing Fall 2007 Final...

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