Write a Matlab script to decouple any new information captured with a SIM system, which is not present in the WF image, from the WF image. A “.mat” file is provided (you can download it from the website) that contains three 2D forward images from a 2D-SIM system, which have a different phase, ϕ defined in Eq. (3), i.e.:
Your program should take as input the three 2D-SIM images and provide as output the WF image and any other information present in the SIM images. Provide a copy of your Matlab script (by uploading it as a separate document in the dropbox) and figures of the input and output images in both the space and spatial-frequency domains. All figures should appear in your technical report with appropriate figure captions and a discussion explaining them. Be sure to label all figures with appropriate titles and to display scale bars that show the intensity values in images. Your code should be well-commented, ready and easy for me to run so that I can verify that it works.