Image Spectrum Explorer

Introduction   Demo   Investigate   Reading   Credits   Home

Introduction

The spectral information of an image, or its spatial frequencies, can be explored in this application.


The tool

This demonstration has two windows: one to display the image, and the other to present spectral and pixel information about the image. The larger colorful plot on the left is the two-dimensional Fourier transform of the entire image. The two plots below this show the spectra in the horizontal and vertical directions from the cross-hairs on the image in the window on the right. One can choose to either display the spectrum or the pixel values at the position of the cross-hairs.


The two-dimensional Fourier transform is a difficult thing to describe. The center of the plot represents the lowest frequency possible. As one moves further from the center, the frequency increases. The angular position of a component roughly corresponds to the angular spectral component in the image. In this particular image there is a lot of energy in the angles shown in the two-dimensional Fourier transform. The tilt of the cameraman's body and tripod create these frequencies.


Things to investigate

  1. Load "cameraman.gif." What happens to the horizontal spatial frequencies when the cross-hairs meet the top of the man's head?
  2. Compare the two-dimensional Fourier transform of the images: "stripes.jpg," and "circles.jpg."

Further reading


Credits


Produced by Bob L. Sturm and Dr. Jerry Gibson.
Release date: February 2, 2004
Copyright 2003 University of California, Santa Barbara