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ece542-5 - ECE542-5 Digital Image Processing Image...

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1 Digital Image Processing ECE542-5 4- Image Enhancement in the Frequency Domain - I Dr. Z. Aliyazicioglu Cal Poly Pomona Electrical & Computer Engineering 1 Cal Poly Pomona Electrical & Computer Engineering Office 9-143 The Continues Time Fourier Transform and inverse FT The Fourier transform, F(u), of a single variable continuous function f(x) 2 ( ) ( ) j ux F u f x e dx  The inverse Fourier transform of given F(u) 2 ( ) ( ) j ux f x F u e du  Fourier Transform Pair The Fourier transform, F(u,v), of two variables continuous function f(x,y) 2 ( ) ( ) ( ) j ux vy F u v f x y e dx dy   ECE542 - 5 2 Cal Poly Pomona Substitute and yield ( , ) ( , )   The inverse Fourier transform of given F(u,v) 2 ( ) ( , ) ( , ) j ux vy f x y F u v e du dv    
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