三维迭代函数系统植物模拟

Plant simulation three dimension iterated function system

为实现对自然界树木的逼真模拟,以迭代函数系统为基础,定义了三维空间上的变换矩阵,建立了三维植物生成模型,以一组压缩仿射变换生成的图像为例,通过调整已有IFS码的比例系数,可实现树木生长过程的模拟;通过调整IFS码的参数来控制树枝旋转角度,可模拟出树枝受到风力影响时的形态;通过对已有图像变换观察角度,可获得同一树木不同视点生成的图像.研究结果表明:针对性地调整IFS码,可完成自然界树木的逼真模拟.

In order to simulate the shape of the trees in nature realistically, the transition matrix in three-dimensional space was defined and the model of generating three dimensional plant was built based on iterated function system. Taking an example like a set of images through contractive affine transformation by adjusting the proportional coefficient of IFS code, the process of tree growth can be simulated; by adjusting the parameters of the IFS code to control the rotation angle of branches, the shape of branches in the wind can be simulated; by changing the angle of observation of the existing image, the images of the trees in different views are generated. The research results show that through changing the corresponding parameters of IFS code the simulation of trees in the natural world can be completed.