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flpgrz / fractal-jax

Generate images of the Julia and Mandelbrot sets with Jax.
MIT License
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blood vessel like fractals #1

Open jakubMitura14 opened 1 year ago

jakubMitura14 commented 1 year ago

Hello I am looking for a 3d dichotomic irregular fractal that would look like branching blood vessels and similar to branching planes - to simulate connective tissue layers The algorithm would need to be parameterized and differentiable. The basic plan is to learn the parameters of the fractal by comparing l2 similarity between the original and fractal-generated image (additionally for fine-grained texture Fourier will be used.

Would it be possible to use your tool for it ?)

flpgrz commented 1 year ago

For the parallelisation and the learning, using Jax is surely a good idea. fractal-jax employs the just in time (JIT) compilation to speed up things.

However, this library, as it's implemented now, does not operate any learning. The equation that generated the fractals is given, i.e., z = z^2 + c.

If I correctly understood your task, you could substitute the equation that generates the fractal with a parametric function and learn the parameter by optimising a loss.

jakubMitura14 commented 1 year ago

Thanks for answer! yes exactly - I do not expect for you to support the training per se I just need differentiable parametrized functions :). Maybe I am not very precise - generally, I am working on some models in Jax and already have an optimization loop, I had never worked with fractals but images of fractals seem quite similar to natural tissue images. Hence my question.