Stochastic Fractal Modeling and Process Planning for Machining Using Two-Dimensional Iterated Function System
Self-affine and stochastic affine transforms of R2 Iterated Function System (IFS) are investigated in this paper for manufacturing non-continuous objects in nature that exhibit fractal nature. A method for modeling and fabricating fractal bio-shapes using machining is presented. Tool path planning algorithm for numerical control machining is presented for the geometries generated by our fractal generation function. The tool path planning algorithm is implemented on a CNC machine, through executing limited number of iteration. This paper describes part of our ongoing research that attempts to break through the limitation of current CAD/CAM and CNC systems that are oriented to Euclidean geometry objects.
Guanglin Wang, Huifeng Wang and Jun Liu
Y. H. Li et al., "Stochastic Fractal Modeling and Process Planning for Machining Using Two-Dimensional Iterated Function System", Key Engineering Materials, Vols. 392-394, pp. 575-579, 2009