finalterm2005 - Department of Electrical Engineering...

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1 Department of Electrical Engineering, Polytechnic University, Brooklyn Fall’ 05 EL512 --- DIGITAL IMAGE PROCESSING (I) Y. Wang Final Exam 1/5/06, 1PM-4PM Your Name: _______________________________________________ ID Number: _______________________________________________ Closed book. One sheet of notes (double sided) permitted. Write your solutions in the space provided next to the questions (use both sides if necessary). If you need extra space, you are probably on the wrong track! PROBLEM NO. FULL POINTS YOUR POINTS 1 10 2 15 3 15 4 10 5 10 6 20 7 20 8 (bonus) 10 Total Points 110
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2 1. (10 pt) Color representation (a) (2pt) suppose you have three separate projectors that can project red, green, and blue lights with different intensities. What will be the perceived color of the projected screen if all three projectors project lights at the same intensity? What will be the color if the red and green projectors project lights at the same intensity, and the blue projector is not projecting any light? (b) (2pt) What will be the color of the paint if you mix equal amount of cyan, magenta, and yellow paints? What will be the color if you mix equal amount of magenta and yellow paints? (c) (3pt) Suppose a particular color has the following R,G, B values: R=100,G=200, B=50. What will be the Y, I, Q values if you convert it to YIQ representation? Hint: The RGB <-> YIQ conversion formula is given below. (d) (3pt) Suppose you give a presentation using a LCD projector, and you notice that the color tone of the projected slides does not look right. It seems to be too yellowish. What do you think may be the problem? - - - = - - - = Q I Y B G R B G R Q I Y 703 . 1 106 . 1 0 . 1 649 . 0 272 . 0 0 . 1 621 . 0 956 . 0 0 . 1 , 311 . 0 523 . 0 211 . 0 322 . 0 274 . 0 596 . 0 114 . 0 587 . 0 299 . 0
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3 2. (15pt) Consider a 2D image f(x,y)=cos(6 π x+4 π y). a) (3pt) Determine its Fourier transform F(u,v) and illustrate the spectrum (i.e., the impulses in the transform) in Fig. (a).
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