DLA模型及其在模拟植物生长中的应用

J4 ›› 2014, Vol. 13 ›› Issue (6): 29-32.

DLA模型及其在模拟植物生长中的应用

1.广西师范大学数学与统计学院，广西桂林 541004;2.桂林市计量测试研究所，广西桂林 541004

收稿日期:2013-12-25 出版日期:2014-06-15 发布日期:2014-06-15
作者简介:马林涛，助教，博士，主要从事分形分析研究.
基金资助:
2013年度广西师范大学校级博士启动基金资助项目（17A4）

Study on DLA Model and Its Application in Simulating Plants Growth

1.School of Mathematics and Statistics, Guangxi Normal University, Guilin, Guangxi 541004, China; 2. Guilin Measurement and Testing Research Institute, Guilin, Guangxi 541004, China

Received:2013-12-25 Online:2014-06-15 Published:2014-06-15

摘要/Abstract

摘要：

主要用迭代法产生并绘制最具代表性的分形结构——扩散限制凝聚模型，模拟植物的生长，动态观察粒子生长的过程，并借助数学建模中解曲线拟合问题的思想方法，最终建立了2个比较合理的模拟植物生长的三次多项式模型与指数函数模型，较好地预测植物的生长趋势，实现对植物生长的实时监控和估测。

关键词: DLA模型, 三次多项式模型, 指数函数模型

Abstract:

This paper discusses how to produce and draw the most representative of the fractal structure of Diffusion Limited
Aggregation（DLA）model based on the fractal theories of iterative process, so that the process of particle dynamic growth and simulate the growth of plants are observed. By using the method of mathematical modeling for curve fitting, it establishes two more reasonable mathematical models of simulating plants growth, which are 3 polynomial model and index function model. They can predict the trend of plants growth, and realize the real-time monitoring of plants growth and estimation.

Key words: DLA model, 3 polynomial model, index function model

中图分类号:

O244

马林涛, 陈德勇. DLA模型及其在模拟植物生长中的应用[J]. J4, 2014, 13(6): 29-32.

MA Lin-Tao, CHEN De-Yong. Study on DLA Model and Its Application in Simulating Plants Growth[J]. J4, 2014, 13(6): 29-32.