Discrete Fourier Transform (DFT) examples

Note: This notebook assumes that all definitions in ipcv_definitions.nb have been evaluated first. It also assumes that the directory in the Set image directory points to an image directory with the following images: cat256x256.ppm, part128x128.ppm and bakery256x256.ppm.

1D DFT: Example #1: single cosine

1D DFT: Example #2: DC + sum of cosines

1D DFT: Example #3: step (edge)

Set image directory

2D DFT: Image example #1

2D DFT: Image example #2

2D DFT: Image example #3

Key shortcoming Fourier analysis: poor localization of frequencies

Created by Mathematica  (February 5, 2004)