基于随机分形的树木(枫树)可视化研究

Study on Visualization of Maple Tree Based on Random Fractal

为了更好地发挥森林效益,提高森林的管理效果,需要虚拟不同树木生长过程的形态,建立相应的可视化系统,从而寻找树木生长规律,用来指导实践。本文首先介绍了虚拟单棵树木的两种分形方法:L系统和迭代函数系统。在此基础上对其进行改进,考虑到气候、温度、阳光和风向等因素对树木生长形态的影响,在生成规则和仿射变换、树木初始角度、树木主干与枝干的夹角、树枝的粗细和长度等五个方面分别引入随机因子,用Matlab软件进行编程,实现了枫树不同形态的绘制。此方法可以推广到虚拟不同植物的形态等,在虚拟农业研究、虚拟场景、景观设计、动画制作等方面有广泛的应用。

In order to give full play to the forest benefits and improve the forest management effect,it is necessary to simulate the forms of different tree growth processes and establish the corresponding visualization system,so as to find the tree growth rules and guide the practice.This paper first introduces two kinds of fractal methods of virtual single tree:L system and iterative function system.On this basis,taking into account the influence of climate,temperature,sunlight and wind direction on the growth morphology of trees.Random factors are introduced in five aspects,including generation rule and affine transformation,initial angle of tree,angle between tree trunk and branch,thickness and length of branch,respectively.Matlab software was used to draw the different forms of maple.This method can be extended to the virtual forms of different plants,etc.,and has been widely used in virtual agriculture research,virtual scenes,landscape design,animation production and so on.