应用分形技术进行不规则曲线模拟

Fitting irregular curves by using the fractal theory

在自然界及工程技术领域,有大量的不规则曲线需要进行研究,而传统的研究方法无法形象地逼真其不规则的自然形状。文章首先简要介绍了对不规则曲线的研究意义及分形的基本知识,详细分析了应用分形技术对不规则曲线进行模拟的思路、原理及方法等,最后试图归纳出应用分形技术对不规则曲线进行模拟的基本规律及步骤。

In the natural world and the engineering field,there are a large number of irregular curves to be studied,such as winding coastline, mountain range outline, city border, and fracture and corrosion boundary lines of workpieces,but it is hard to fit these irregular curves exactly by traditional approaches. In this paper, the thought and method of fitting irregular curves by using the fractal theory are introduced, and the basic principles and steps of fractal fitting of irregular curves are presented.