Fractals to 3D files with Mathematica?

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My goal is to create a seamless process in generating a 3d mandelbulb/julia set fractal and generating a 3d model at a specified resolution. Right now I’ve been using Mandelbulber 2 (A awesome piece of fractal software). It seems to use ray tracing and to export it takes a number of slices of voxel layers, outputting them as images. I then take Fiji and compile them into a image stack and THEN into a wavefront obj. Then I clean up the mesh with Meshlab. My point is that this is a tedious process that may not yield exactly what I want. I would like to make this more efficient and I believe that rendering the fractal through a different process or analyzing it would make it so much more efficient (Also using the GPU is recommended). This is a big project I have no business starting and so I welcome any input you have to offer.

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Does anyone know exactly how this renders? Or where I might find out?

Needs["OpenCLLink`"];
OpenCLFractalRender3D["Type" -> "Julia"]

I’m quite ignorant of the processes of rendering fractals, but am a quick study.

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It seems pretty difficult to draw 3D fractals another way with mathematica just because their unorthodox style. How do you even work in a coordinate system like that with mathematica?

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My exact struggles. Thanks for your input!

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Can you export something using the

OpenCLFractalRender3D[]

function?