55:148 Digital Image Processing

Chapter 11
Linear Discrete Image Transforms


Related Reading
Sections from Chapter 11 according to the WWW Syllabus.

Chapter 11 Overview:



Basic theory









and the transform is an orthogonal transform.


Fourier transform



















where R(u,v) and I(u,v) are, respectively, the real and imaginary components of F(u,v).









Additional Examples

The following web site gives additional information about Fourier Analysis of Images. This site is part of the Image Processing Learning Resources.

The Image Toolbox Matlab Documentation provides examples of Fourier Analysis of Images and gives practical examples. (quick link to Fourier Transform documentation)


Practical Experiment 11.A - VIP Version


Practical Experiment 11.A - Khoros Version









Hadamard transform


Discrete cosine transform









Wavelets

Haar wavelet coefficients. The coefficients in the upper left corner are related to a low resolution image while the other panels correspond to high resolution features.


Additional Examples

The Wavelet Toolbox Matlab Documentation provides examples of Wavelet Analysis of Images and gives practical examples.


Other orthogonal image transforms



Applications of orthogonal image transforms



(term-by-term multiplication, not a matrix multiplication)





Practical Experiment 11.B - VIP Version


Practical Experiment 11.B - Khoros Version


Practical Experiment 11.C - VIP Version


Practical Experiment 11.C - Khoros Version





Last Modified: December 1, 2003

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