a new quaternioin-based algorithm for visualization of 3D IFS fractals

fractals are used in visualization and modeling of natural phenomena , such as terrains and mountains which have self similarity properties efficient implementaion of such fractals is necessary to make them practically deployable in real environments like web there are several ways to generate fractals one being the 3D IFS method that generates fractals by affine transformations composition of affine transformations is a kind of IFS it uses matrix multiplication which is quite lengthy at execution. this paper proposes a new method for quaternion multiplications using strassen method and then applies thin multiplication method to present a novel quaternion-based IFS that saves ion execution time .

Keywords:

fractal , IFS , quaternion , affine transformation , strassen method