Image Processing with matlab/Python

Problem 1: Fourier transform Differentiating between different types of images using energy distributions We want to analyze the energy distribution of different type of images: natural photos vs. diagrams (use the Lena image and the iris image): Convert the input color image to the grayscale format and apply 2D Fourier transform to these images: a. (10 points) Show the log magnitude of the 2D DFT of each one of the grayscale images, with center shifted. b. (2.5 points) Discuss the differences between these two types of images, i.e., natural photos vs. diagrams. c. (7.5 points) Briefly describe an application for the Fourier Transform in a field of interest to you. Augment this application with a recent scientific paper you read on the same topic and field of interest by providing 1) the reference for the paper, write a 1-paragraph description of the paper (summarizing data used, methodology involving Fourier transform, and results). Note that this does not need to be a 2D version of the FT; 1D, 3D and nD are perfectly acceptable. d. (482 - 5 points) Choose two images, one that could represent a diagram (such as illustrating a computer-aided diagnosis system) and another showing a medical image (for example, both showing in a recent medical imaging article). Describe an automatic algorithm for telling the difference between diagram and image. (You do not need to implement the algorithm, but you response should be thoughtful and detailed.)