1. Discrete Fourier Transform Write a C++ function for each of following: (a) Multiply the input image by (-1)x+y to center the transform for filtering. (b) Compute the two-dimensional discrete Fourier transform. (c) Compute the inverse two-dimensional discrete Fourier transform. (d) Multiply the result by (-1)x+y and take the real part. (e) Compute the Fourier spectrum. 2. Highass Filtering (a) Write a C++ function for the transfer function of the Gaussian highpass filter in Eq. (4.4-4). (b) Write a C++ program to reproduce the results on Figure 4.26 (page 184) using the attached image.

Assignment3
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...........\Assignment3.dsp
...........\Assignment3.dsw
...........\Assignment3.exe
...........\Assignment3.layout
...........\Assignment3.ncb
...........\Assignment3.o
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...........\CImg.h
...........\Fig4.11(a).jpg
...........\FourierSpectrum.jpg
...........\InverseFourier.jpg
...........\Makefile.win

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