Hello and welcome to the forums

Is the cylindrical projection needed to come from the fractal generator, or can it be done to the image or video directly?
There should be a means to create a cylindrical projection in post work using either an image editor or a video editor. Unless you need the actual code needed for the projection as a requirement for the diploma, I would ask the wizards at places like creativecow.net (a video editor type person crowd mostly using adobe software for TV and Movies), or even the 3D crowd at the Blender forum ( I know they make use of spherical projections often).
Good luck with it and let us know how it goes.