摘要
利用分形L系统模拟三维景物一直受到人们的关注。真实地模拟三维植物的生长过程,关键问题是根据字符串改写命令,如何简单快速地确定植物生长过程中下一个生长点的最终生长方向。在具体分析了植物生长过程后,给出一种简单的植物生长方向的数学表达式,表达式涉及的参数少,形式简单,据表达式设计的算法快速而稳定。最后基于分枝L系统给出了一个随机、递归生成三维树的算法实例,设计算法时,对植物绕轴旋转后的位置确定做了一些简单处理。实验结果表明:简便方法有效、可行;实例生成的树木种类繁多且形态自然逼真。
Computer simulation of plants based on fractal 3D L system has been attracting attention all the time. In order to simulate realistically the growth of 3D plants, the key is how to fast and simply determine the final direction in the growth process of plants according to character string＇ s order. After detailedly analyzing the plants＇ growth process, a simple mathematical expression of the plants＇ growth direction is proposed. In the expression with simple form, there are few parameters, and the designed algorithm will be rapid and stable according to the expression. Then based on stochastic and recursive L system, an example of 3D trees is given. When designing the algorithm in the experiment, the location of plants＇ growth direction after rotating around coordinate axis is simply disposed. Finally experiments illustrate that this simple method is feasible and effective, and various states of trees are naturally generated by the example given.
出处
《计算机仿真》
CSCD
北大核心
2009年第7期240-243,247,共5页
Computer Simulation
基金
国家自然科学基金(60672135)
关键词
系统
分形
树木
生长方向
System
Fractal
Tree
Growth direction
