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Author Topic: (Question) How to produce a fractal equation that matches a dataset?  (Read 354 times)

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Offline shadrakkay

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(Question) How to produce a fractal equation that matches a dataset?
« on: December 29, 2018, 12:36:42 AM »
Is there any math or algorithms around producing a fractal that matches a certain set of data? I know there's something like this in fractal compression of images, but I don't really know much about that either. Everything I look for about encoding data in fractals comes up with calculating the length of a coastline. I want to know, given a set of data, like a coastline, for example, is there a way to automatically produce a fractal function that approximates the line?

https://www.quora.com/unanswered/How-can-I-encode-data-in-fractal-equations-I-mean-how-do-I-produce-a-fractal-equation-that-mirrors-the-data-Is-this-even-a-field-of-study?

I know you can do this with Fourier Transforms which is really cool, but I'm looking for more of a fractal solution.

Linkback: https://fractalforums.org/index.php?topic=2494.0

Offline FractalDave

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Re: How to produce a fractal equation that matches a dataset?
« Reply #1 on: December 29, 2018, 01:04:00 AM »
Learn tthe techniques used in fractal compression (not easy unless you're a student or paid professional) and adapt for your uses is the short answer.
Otherwise you've given me an idea that I'm going to try - I'll get back to you if/when I've proved either that it works or that it's completely useless !!
The meaning and purpose of life is to give life purpose and meaning.

Offline Adam Majewski

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