Matlab image processing - The given image nasa.tif is corrupted by sinusoidal interference. You will create a clean image using a zero-one DFT mask. (Useful functions: ginput, meshgrid.) nasa.tif IMAGE LINK: https://i.imgur.com/7tXecNX.png (a) Read in the nasa.tif. This image is transmitted by Apollo 17 mission and it is contaminated with periodic noise due to transmission noise. Display the input image and log of the magnitude of its DFT. You may need to use FSCS to display images. Please move the low frequency part to the center.

(b) Are there any odd components or spikes to this DFT? What do you think these represent? Find the coordinates of these spikes and report them. (Helpful function: ginput)

(c) Now implement a Gaussian bandpass filter that helps in removing the noise. Using the coordinates in part (b), find the distance of the coordinates to the center and use this distance to implement a Gaussian bandpass filter that sets the magnitude at these coordinate frequencies to 0 (Use a sigma=10 for the Gaussian) [Hint: Use a meshgrid to create a matrix x, then use this and the coordinate and spacing of the Gaussian that depends on sigma as inputs to generate a bandpass filter]. Display the resultant bandpass filter.

(d) Use this filter to remove the noise from the original image. Display the final image after taking the inverse and the DFT of the final image. Why are some noise components still present?