20105ee211A_1_homework1

# 20105ee211A_1_homework1 - g x y f x y f x y = p Be sure to...

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1 EE 211A Digital Image Processing I Fall Quarter, 2010 Handout 2 Instructor: John Villasenor Homework 1 Due: Thursday, 30 September 2010 Reading: Textbook pp. 1-19, 49-60 1. Find the 2D Fourier transforms of the following continuous two-dimensional functions: (a) ) , ( y x f = rect ) ( b ax + where a and b are constants. (b) ) , ( y x f = sinc( y )exp( -bx 2 ). 2. Consider a function ) , ( 1 y x f which is nonzero within the two hatched regions as shown below. Make a sketch showing the boundaries of nonzero regions of the autocorrelation 1 1 ( , ) ( , ) ( , )
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Unformatted text preview: g x y f x y f x y = p . 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. y x 3. Consider the function ), , ( y x g where ) , ( * ) , ( ) , ( y x f y x f y x g = and = ) , ( y x f rect ⋅ ) ( x rect ). ( y What is the maximum value of ? ) , ( y x g Does a slice through g ( x, y ) taken along the line y = x produce a constant, linear, or quadratic function? Explain your answer....
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