Singular Value Decomposition and Fourier Image Decomposition and Reconstruction - potential glitch script opportunity for the mathematically inclined?

Way 2015-09-09 15:49:05 UTC #1

One of my coworkers shared some of his work showing deconstruction/reconstruction of an image using singular value decomposition:

Full album here. He has an online library used to create this effect, which is pretty neat: https://github.com/t-mart/svdimg

He also shared a cool video using Fourier transforms to decompose / reconstruct images.

I don't know enough math to really take advantage of something like this, but I feel like someone who does would be able to take this to the next level and really get some cool, broken/glitchy results.

PFunkus 2015-09-09 23:14:36 UTC #2

So does the Fourier transformation use some sort of rotating interlaced lines to produce an image based off of an input image? Or what is it?

Way 2015-09-10 13:37:02 UTC #3

Honestly, I don't think I tell you accurately. There's a blog post associated with the video here: http://jeremykun.com/2013/12/30/the-two-dimensional-fourier-transform-and-digital-watermarking/

It seems like it does use the lines by summing them together at certain points (each of which represents a Fourier component(?)) in order to form more details into the image. Maybe someone else who has more math knowledge will stumble upon this and be able to give some more background.