Blog post: ajb: fractal with noise

Just for fun I though I would have a look at some Julia sets with random noise. So I decided to have a look at the Julia set for $latex F_{c}= exp(frac{z^{2}}{2})$ and $latex c = 2- 0.5I$. This was chosen for no particular reason.

To this I modified the algorithm to include some noise in the form of a random complex number. The random number is of the form $latex R_{#} = frac{z_{R}}{#}$

where $latex |z_{R}| leq sqrt{2}$ and $latex #$ is a real number that scales the random number.

Basically, as the random numbers become larger then the fractal pattern gets "dissolved" in random noise. I won't claim there is any real scientific value in this experiment. Enjoy the pictures.

Here we have no noise. As the pictures go down the noise increases.

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