Rapid Prototyping using Fractal Geometry
The paper proposes a method for rapid prototyping (RP) fractal geometry represented objects. RP technology has made possible the physical fabrication of solid freeform objects. However, contemporary CAD/CAM/RP systems are developed for Euclidean geometry and are incapable of handling self-similar fractal objects (e.g. jewelry products). To address the problem, a Radial-Annular Tree (RAT) data structure is proposed to represent Iterated Function Systems (IFS) fractal curves. RP toolpaths can then be generated from the RAT data structure. Geometry modeled in the RAT data structure can also be combined with Euclidean geometry from traditional CAD systems to make aesthetic patterns for the jewelry industry.