want:Quaternion-Mandelbrot 3D animation

[dvaknheo]

I come Here for this article

http://www.fractalforums.com/3d-fractal-generation/true-3d-mandlebrot-type-fractal/

At current the quaternion-mandelbrot  animation  in web is very ugly
if there is a high-quality animation , it will be beautifull

And , if via Fourier transform or Laplace transform  what the animation will be ?