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Revision as of 19:41, 2 December 2015


ECE Ph.D. Qualifying Exam

Communication, Networking, Signal and Image Processing (CS)

Question 5: Image Processing

August 2015



Part 1

Consider the emissive display device which is accurately modeled by the equation

$ \left[ {\begin{array}{*{20}{c}} X\\ Y\\ Z \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} a&b&c\\ d&e&f\\ g&h&i \end{array}} \right]\left[ {\begin{array}{*{20}{c}} R\\ G\\ B \end{array}} \right] $

where R, G and B are the red, green, and blue inputs in the range 0 to 255 that are used to modulate physically realizable color primaries.

a) What is the gamma of the device?

b) What are the chromaticity components $ (x_r,y_r), (x_g,y_g) $ and $ (x_b,y_b) $ of the device's three primaries.

c) What are the chromaticity components $ (x_w,y_w) $ of the device's white point.

d) Sketch a chromaticity diagram and plot and label the following on it:

$ \\ 1. (x,y)=(1,0)\\ 2. (x, y) = (0,1)\\ 3. (x, y) = (0,0)\\ 4. (R,G,B) = (255, 0 , 0)\\ 5. (R, G, B) = (0, 255,0)\\ 6. (R,G,B) = (0, 0, 255) $

e) Imagine that the values of $ (R,G,B) $ are quantized to 8 bits, and that you view a smooth gradient from black to white on this device. What artifact are you likely to see, and where in the gradient will you see it?

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Part 2

Consider the

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