Exam1_F16.pdf - ECE468/CS519 EXAM 1 Fall 2016 NAME...

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ECE468/CS519: EXAM 1 – Fall 2016 NAME: INSTRUCTIONS This is a 50 minute, closed-book exam with THREE problems. Cheating during the exam will result in a failing grade for the entire course. Problem Estimated minutes Max points Earned points 1.1 15 minutes 20 points 1.2 5 minutes 10 points 1.3 10 minutes 20 points 1.4 10 minutes 20 points 2 5 minutes 15 points 3 5 minutes 15 points TOTAL 50 minutes 100 points
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Problem 1 — 50 points; 40 minutes Problem 1.1 — 20 points; 15 minutes Let h ( x, y ) and H ( u, v ) denote a 2D spatial function and its 2D DFT. Compute H ( u, v ) =? when h ( x, y ) is defined as: h ( x, y ) = - 1 - 1 - 1 - 1 9 - 1 - 1 - 1 - 1 2 / 8
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Problem 1.2 — 10 points; 5 minutes Suppose that the filter h ( x, y ) defined in Prob. 1.1 is applied to an image f ( x, y ) , resulting in g ( x, y ) = h ( x, y ) * f ( x, y ) . Is g ( x, y ) more blurry or sharper than f ( x, y ) , or is g ( x, y ) the response of edge or corner detections in f ( x, y ) ? Explain your reasoning. 3 / 8
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Problem 1.3 — 20 points; 10 minutes Suppose that image f ( x, y ) and degradation filter h ( x, y ) , defined in Prob. 1.1, are part of the image system depicted in the figure above. As can be seen from the figure, f ( x, y ) represents a noise-corrupted image, f ( x, y ) = f 0 ( x, y ) + η ( x, y )
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