Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I have an old Spanish CG book that calls Perlin Noise a "fractal structure". After reading this I couldn't deny it or confirm it. Is it a fractal structure? What would it Hausdorff dimension be?

share|cite|improve this question
Since there has been no reply, can you explain what you mean by "fractal structure". I suppose that if you think about it in terms of increasingly becoming less noisy, it may be a fractal. – picakhu Dec 19 '10 at 21:21
I mean self-similar on multiple scales. Is this fractal noise? – andandandand Dec 20 '10 at 20:50
it is statistically self similar. That is a type of fractal. – quanta Apr 10 '11 at 12:13

You can consider two types of fractals: deterministic of an iterative structure (like a Kantor's set) and stochastic which is self-similar in law. If a Perlin noise is a stochastic noise? Then you should verify if there exist a rescaling such that it preserves the distribution law.

On the other hand, the term "fractal" is not formalized, so you can use it for any "self-similarity".

share|cite|improve this answer
here is a discussion on a similar topic.… – comprehensible Apr 16 '15 at 1:41

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.