planetarianpku / fourier-decomposition

to visualize that (2D) images can be decomposed into sinusoidal waves

Fourier-decomposition

% Demonstration of fourier decomposition.

% Goal: to visualize that (2D) images can be decomposed

% into sinusoidal waves.

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% Implementation: 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).

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% Author: Job Bouwman

% date: 20 july 2013

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% Demonstration of fourier decomposition, showing both the image domain

% and spectrum domain

% modified from https://www.mathworks.com/matlabcentral/fileexchange/42776-fourier-decomposition-demo

% add the spectrum domain and the code comments

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% Contributor: Sun

% date: 21 March 2024

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