Abstract
Fractal geometry has been use for modelling natural objects that cannot be described by Euclidean geometry, and is also employed in aesthetic product design. However, the contemporary Computer-Aided Design (CAD) and Computer-Aided Manufacturing (CAM) systems are well developed only for semi-analytical and free-form objects, and they cannot deal with aesthetic appealing objects efficiently. As a result, new data structure or representation model has to be introduced in order to model and process the fractal geometry effectively in Euclidean-based CAD/CAM system. In this paper an algorithm is proposed for generating a 3D complex fractal from its mathematical models. To represent the 3D complex fractal object model in a CAD system, a voxel-based model is introduced. To fabricate a physical fractal object, Layered Manufacturing (LM) technology is employed. The geometrical information of the fractal object is extracted from its voxel-based model and the LM tool path can be generated accordingly. Applying the proposed algorithm, the fabrication of a fractal object can be realised.
| Original language | English |
|---|---|
| Pages (from-to) | 207-224 |
| Number of pages | 18 |
| Journal | International Journal of Product Development |
| Volume | 4 |
| Issue number | 3-4 |
| DOIs | |
| Publication status | Published - 12 Apr 2007 |
Keywords
- Complex fractal
- Layered manufacturing
- Voxel-based model
- Voxels
ASJC Scopus subject areas
- Business and International Management
- Economics and Econometrics
- Strategy and Management
- Management of Technology and Innovation