Realization on Fractal Interpolation of Non-Rule Geometry
The traditional geometric modeling is generally described by means of Euclidean geometry, and objects for the geometric modeling are usually artificial work-pieces with smooth and regular contour. However in real world, there are so many irregular geometric objects(such as cavernous body, geological body, rough surface body and so on) with extremely complicated structure that the constructing method based on Euclidean geometry equation has been already helpless, while the process constructing method based on fractal geometry can. Taking rough surface body as examples, in order to explore a method for non-rule geometric modeling based on step-by-step subdivision. Research shows that such methods can preferably represent structure characteristics of non-rule geometric modeling, consequently opening up a new way for expanding the scope of geometric modeling and enhancing the capability of CAD.
Guanglin Wang, Huifeng Wang and Jun Liu
B.W. Sun et al., "Realization on Fractal Interpolation of Non-Rule Geometry", Key Engineering Materials, Vols. 392-394, pp. 523-525, 2009