Nonlinear Iterated Function Systems, Rendered on the GPU

Iterated Function System with two maps, one of them nonlinear

Linear Iterated Function Systems (IFS) such as the Sierpinski Triangle are well known, but nonlinear IFS are much less common.  Virtually the only nonlinear IFS rendering software in wide use today is based on Scott Draves' Fractal Flames approach, which typically is rendered using a feed-forward or direct iteration rendering method.  Unlike this prior work, we show how to use texture mapping and programmable graphics hardware in a nonlinear version of the deterministic iteration algorithm, which produces much less sampling noise, and can produce high definition animating nonlinear fractal images in real time.


Please email Dr. Lawlor with bugs, fixes, or suggestions about the technique or application!

Dr. Lawlor