Tariq on Nostr: Until recently I didn't know about the "distance estimation method" for rendering ...

Until recently I didn't know about the "distance estimation method" for rendering Mandelbrot and Julia fractals.

I'm still no expert but the idea is that the gradient of the orbit of z under z^2+c is higher closer to the set.

The traditional "escape" method can miss very fine sub-pixel details

#maths #fractals #python

Here is an example image rendered by very simple code:

https://github.com/makeyourownmandelbrot/Second_Edition/blob/main/DEM_Mandelbrot.ipynb

https://github.com/makeyourownmandelbrot/Second_Edition/blob/main/DEM_Julia.ipynb