The 2-D Fourier Transform, illustrated

This video shows how an image can be composed of the sum of periodic functions.

Category:

Education

Tags:

• fourier transform
• MATLAB

[longtalker]

Thanks for posting, but could you possibly explain this a little? I suspect this movie exemplifies how a signal (in this case a visual signal) can be reconstructed from basic harmonics (sinusoids) - in this case, the slide started with an image that looked almost like one single sinusoid, and then, as several others were added to it, the image become clearer and sharper.

Does that roughly describe the process?...

[radiantradon]

@longtalker yup, that's pretty much exactly it. i showed this by putting a "lowpass filter" on the image showing the first few frequencies and then gradually expanded the filter

[ohiomike3]

Would be interesting to see the process reversed (i.e. start with a high pass filter and gradually add the low frequencies). This should start with edges/specks and gradually produce the detailed image.

[irfaanfr1]

@MrBaghdadboy me too

[ohiomike3]

Would be interesting to see the process reversed (i.e. start with a high pass filter, edges and specks, and gradually add the low frequencies).

[MrBaghdadboy]

i couldnt get it

[MatrixOfDynamism]

what the hell was that?