中点变位法在自然景物造型中的应用研究

Investigation on the Application of Midpoint Displacement in the Shaping of Naturally Occurring Objects

三维中点变位法生成分形曲面是分形几何原理的一个典型应用,在自然景物造型中发挥着重要作用。笔者不仅进一步探讨了中点变位法在以往自然景物(山、地貌)造型中的应用,还提出了一些新的应用领域(如表面纹理)。中点变位法生成各种自然景物的关键是其扰动量的取法,应根据各种景物表面的特征给出不同的扰动量,笔者给出了中点变位法在各种自然景物造型时扰动量的取法和真实感模拟的结果。

Using three dimensional midpoint displacement to generate fractal curves is a typical application of the fractal principle and plays an important role in the shaping of naturally occurring objects. This paper not only studies systematically the application of midpoint displacement in the shaping of naturally occurring objects but also proposes some new application fields (such as surface texture). The key point of using midpoint displacement to generate naturally occurring objects is mainly how to take the magnitude of the perturbation. The magnitude of perturbation should be different to the various surface characteristics of naturally occurring objects. This paper gives the method of taking magnitude of the perturbation and the results of real simulation.