* Frequency domain filtering





-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.