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Fourier Decomposition Demo

by Job

 

22 Jul 2013

Visualizes how an image can be decomposed (and reconstructed) in 2D sinusoidal waves.

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Description

Goal is to visualize that (2D) images can be decomposed into sinusoidal waves. Implemented as follows: at each 'iteration' the most prominent wave* is taken away from the input image, and set aside. Where the residual image gradually loses contrast, the removed waves together start forming a new reconstructed image (initially low pass filtered). After 20 waves the rest of the waves is removed in groups of increasing size. (*together with its 'conjugate' wave).

Required Products MATLAB
MATLAB release MATLAB 7.4 (R2007a)
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ct, demo, fourier transform, image processing, image reconstruction, mathematics, mri, simulation
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