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This document discusses applying 2-D approximate Fourier decomposition (AFD) to images at different decomposition steps. It runs AFD on an image with 1, 4, and 16 decomposition steps, recording the elapsed time for each. It displays the results of running AFD on an image of Lena with 1 and 4 decomposition steps.

2-D AFD Applied to
Images
He Can
MB15462

Elapsed time is 285.279192
seconds.
[fn,a,b]=afd_2d(f,4);
fn=fft(f,4)
figure;mesh(real(fn))

[fn,a,b]=afd_2d(f,8); Elapsed time is 1128.909871
seconds.
fn=fft(f,8);
figure;mesh(real(fn))

[fn,a,b]=afd_2d(f,16);
Elapsed time is 4513.005270
seconds.
fn=fft(f,16);
figure;mesh(real(fn))

Mesh lena.jpg rotate
2-afd 1 step decomposition
2-afd 4 step decomposition rotate

Experiment

1. 2-D AFD Applied to Images He Can MB15462

2. Elapsed time is 285.279192 seconds. [fn,a,b]=afd_2d(f,4); fn=fft(f,4) figure;mesh(real(fn))

3. [fn,a,b]=afd_2d(f,8); Elapsed time is 1128.909871 seconds. fn=fft(f,8); figure;mesh(real(fn))

4. [fn,a,b]=afd_2d(f,16); Elapsed time is 4513.005270 seconds. fn=fft(f,16); figure;mesh(real(fn))

5. Mesh lena.jpg rotate 2-afd 1 step decomposition 2-afd 4 step decomposition rotate

6. Mesh lena.jpg rotate 2-afd 1 step decomposition 2-afd 4 step decomposition rotate

Editor's Notes

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