211A_1_Midterm2008Solutions

211A_1_Midterm2008Solutions - EE211A Digital Image...

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Unformatted text preview: EE211A Digital Image Processing I Fall Quarter, 2008 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: EE211A Digital Image Processing I Fall Quarter, 2008 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: EE211A Digital Image Processing I Fall Quarter, 2008 Page 3 2. Integration (25 points) Evaluate the integral below. ( 29 sin 3 cos(2 ) t t dt t - Answer: ( 29 ( 29 ( 29 sin 3 cos(2 ) sin 3 3 cos(2 ) 3 sinc 3 cos(2 ) 3 t t t dt t dt t t dt t t --- = = Fourier transform pair:...
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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_Midterm2008Solutions - EE211A Digital Image...

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