基于微分L-系统的水稻根系三维生长模型研究

Three Dimensional Growth Modeling of Rice Root Based on Differential L-System

植物根系结构是其根系的空间构型,水稻根系结构表现出高度的多样性。为了探明水稻根系结构和分布规律,利用水培法开展试验,测定不同生长时期的根系三维空间坐标和形态参数,对水稻根系结构进行高精度的测量。统计分析所测试验数据,确定了根节点的初始位置、各级枝根的生长方向以及根系的生长函数。通过整合水稻根系的拓扑结构,量化其生物学特征,提出基于微分L-系统的水稻根系三维生长模型,以描述水稻根系生长规律,并检验该模型输出结果的精度。借助Visual C++和Open GL标准图形库实现了水稻根系三维生长可视化模拟系统,直观再现了水稻根系动态的生长过程。对比分析表明,系统对总根长、根表面积和根体积的平均模拟拟合度分别为96. 82%、95. 86%和93. 96%。

The architecture of rice roots is the spatial configuration of its roots, which shows a high diversity. To explore the architecture and distribution characteristics of rice roots,hydroponics method experiments were conducted to measure three dimensional spatial coordinates and morphological parameters of rice roots at different growth stages, which quantified the structure of rice roots with high accuracy. After analyzing the experimental data, the initial position of the root node, growth direction of branches and the root growth function were determined. Three dimensional growth modeling of rice roots based on differential L system was proposed to describe its growth rule by analyzing the topological structure and quantifying their biological characteristics, and the output accuracy of the model was tested. Visual C++ and OpenGL standard graphics library were used to implement the three-dimensional visualization simulation system for rice root growth,and the dynamic growth process of rice roots was visually reproduced. Analysis results indicated that the average simulated fitness of the total root length, surface area and volume were about 96.82%, 95.86% and 93.96%, respectively. Therefore, the model can express the morphological characteristics and growth rules of rice roots at different growth stages, and the results may form a base for forthcoming study on the relationship between morphological structure changes of rice roots at different growth stages and their physiological and ecological factors.