基于微分L系统理论的植物根系生长模拟的算法

Simulation Arithmetic of Root Systems Growth with Differential L-systems

根据植物根系的几何特征,利用微分L系统理论设计生成植物根系连续生长的算法。产生式用于表达植物根系分枝的产生,生长函数用于控制内节点的长度(根段随时间的延长)、分枝根的长度和分枝角的增加。植物根系的生长函数呈S形,用三次多项式表示。

According to the geometric character of the plant root systems, the method was designed to simulate the continuous growth of the plant root systems with differential L-systems theory. The L-system production was used to express the branching occurs from its main axis. The growth functions of the plant root systems were used to control the increase of the length of internodes and branching axis and the increase of the branching angles. The growth functions are the sigmoidal functions which are expressed as the cubic functions.