File this under fourier analysis + linear algebra = bad#ss.

Fourier transform of toes

On the right you’re seeing the configuration space of the toes as opposed to physical space of the toes.


Take a 3-D mesh wireframe stallion and do the Fourier transform.

Now you have a summary of the position, so you can move hoof-leg-and-shoulder by just moving 1 point in the transformed space.

In other words the DFT takes you into the configuration space of the horsie. Inverse DFT takes a leg-and-hoof configuration and gives you back a wireframe horsie.


The discrete Fourier transform also helps sort out the clustering problem:


From the slides, I don’t get what the connection is to (anti-fractal) smoothing. But…seahorses and seagulls:

PDF SLIDES via Artemy Kolchinsky

If you thought linear regression was a hammer for every nail … wait until you play around with the Fourier transform!

39 notes

  1. xyylence reblogged this from isomorphismes
  2. lostgreencap reblogged this from isomorphismes
  3. cometarum reblogged this from isomorphismes
  4. isomorphismes posted this