Homework 2 due Monday October 5.  Submit Matlab parts via email to ee528homeworks AT gmail.com

Homework 2a, EE 528 Fall 2009
For Matlab problems, if needed, use as the image, I(m,n), either a chessboard image or a fence image.
  1. Problems 5.2, 5.9, 5.11, 5.12 of AK Jain
  2. Verify problem 5.11 using Matlab
  3. Find an application of the 2D-DFT and implement it. This can be from your research area or be any standard application, e.g. use of DFT to detect regions and times where there is fast motion: apply DFT to image differences and look for high frequency regions or the use of Fourier descriptors to represent contours or the use of Fourier slice theorem for tomography (this will be taught later)
  4. Just for your understanding (need not submit): look at the 2D-DFT of a few different images - natural and man-made.
Homework 2b, EE 528 Fall 2009 due Monday Oct 5.
  1. Problems 5.16
  2. Problem 5.24 (do only for DFT, DCT, Hadamard and can use Matlab for it).
  3. Either prove or verify using Matlab that the DCT matrix approximately diagonalizes the matrix given in Equation 2.68 of the book when rho is  close to 1.
  4. Extra: So now consider a 2D-DCT. Tell me what type of images does it approximately diagonalize? See Example 5.6 in the book.
  5. Extra: Problem 5.23