基于三维参数随机L系统的虚拟植物生成算法

提出了一种基于三维参数随机L系统的虚拟植物生成算法.针对简单L系统生成植物形状单一的缺点,采用曲线论的Frenet标架作为三维基本框架,在对植物产生字符串进行递推迭代的同时,对其规则加入随机概率,使生成的字符串在具有随机性的同时又保留了自相似性.此外,对转角与步长均加入了随机扰动,使生成的植物形态在保持生物性状稳定性的同时又兼具了个体差异性,提高了生成植物的真实感.

Generation Arithmetic of Virtual Plants Based on 3D Parametric and Stochastic L-System

This article presents the generation arithmetic of virtual plants based on 3D parametric and stochastic L-system.Against the defect of the simple L-system,by which the shape of plants generated is monotonous,the 3D basic frame of the arithmetic used in this article adopts the Frenet frame based on the curve theory.Adding the stochastic probability to the rules,while calculating the generating string of the plant,this makes the generating string stochastic and self-similar.Perturb the rotation angle and the move step so as to make the biological properties of the plant's shape obtain individual difference and remain stability,then enhance the photorealistic of the plant generated by the L-system.