Write your initials on a piece of paper and take their pictures. (a) Plot each letter with its corresponding 2D Fourier transform. Use characters from any language you wish. (You can also see some examples of frequency manipulation at this link: Spatial frequencies) (b) Repeat Example 3.16 in GW textbook to sharpen these letters using an unsharp mask and a highboost mask. (c) Swap phases of the Fourier transform for the two images and perform the inverse Fourier transform to reconstruct the images (use ifft2). You will find that the reconstructed images resemble more with the images corresponding to the Fourier phase. Give some explanation of why that may be happening.