2D DFT of a function f(x,y) of size M x N • Important property of the DFT: ➢ The discrete Fourier transform and its inverse always exist ➢ Thus, for digital image
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[PDF] Digital Image Processing (CS/ECE 545) Lecture 10: Discrete Fourier
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For the convolution property to hold, M must be greater than or equal to P+Q-1 [ ]* [ ] [ ] [ ] f m gm Fourier transform of a 2D signal defined over a discrete finite 2D grid The discrete two-dimensional Fourier transform of an image array is defined in where A is a NxN symmetric transformation matrix which entries a(i,j)
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2D DFT of a function f(x,y) of size M x N • Important property of the DFT: ➢ The discrete Fourier transform and its inverse always exist ➢ Thus, for digital image
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Two Dimensional Fourier Transform • Forward geometric characteristics of a spatial domain image In most implementations the Fourier image is shifted in
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