211A_1_Midterm2007Solutions

211A_1_Midterm2007Solutions - EE211A Fall Quarter, 2007...

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EE211A Digital Image Processing I Fall Quarter, 2007 Page 1 Midterm Solutions 1. 2D Convolution and Autocorrelation (25 points) Consider the continuous 2D function f(x,y) given below, which has value 1 where the dark regions are located and 0 elsewhere. (a) (14 points) Make a sketch showing the boundaries of non-zero regions of the function g(x,y) , where g(x,y) = f(x,y) * f(x,y) . Be sure to place your sketch on a set of marked axis such that relevant dimensions and positions of features of g(x,y) are clearly indicated. Answer:
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EE211A Digital Image Processing I Fall Quarter, 2007 Page 2 (b) (11 points) Make a sketch showing the boundaries of non-zero regions of the autocorrelation of f(x,y) . Again, your answer must be clearly indicated for you to receive credit. Answer:
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EE211A Digital Image Processing I Fall Quarter, 2007 Page 3 2. Integration (25 points) Evaluate the integral below. 2 sin 2 2 jt e t dt t π -∞ Answer: ( 29 2 2 2 2 2 sin 2 sin 2 sinc2 2 2 jt j t j t e t t dt
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This note was uploaded on 04/18/2011 for the course EE 211A taught by Professor Villasenor during the Fall '10 term at UCLA.

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211A_1_Midterm2007Solutions - EE211A Fall Quarter, 2007...

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