Steve on Image Processing and MATLAB

Concepts, algorithms & MATLAB

Fourier series and Hilbert curve animations

Posted by Steve Eddins,

In a complete coincidence, two different coworkers today sent me links to two different works of 3Blue1Brown on YouTube. I loved both of them, and I wanted to share them with you.

The first one demonstrates how Fourier series can be used to trace out two-dimensional shapes on a plane. I've seen animations like this before, but this one might be the most beautifully done.


Pure Fourier series animations for 12 oddly satisfying minutes

The second is an exploration of Hilbert curves, including a connection to image processing.


Hilbert's Curve: Is infinite math useful?

For some related material, see my 25-Jan-2012 post on generating Hilbert curves.

I hope you enjoy these videos.

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