Plant Morphological Modeling Using Fractal Geometry and Chaos Theory

TAO Ling; CHEN An-qing; DENG Zhen-zhou; HAN Chun-lei; WANG Yu-hao; WANG Ping

doi:10.12263/DZXB.20200041

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Plant Morphological Modeling Using Fractal Geometry and Chaos Theory

PAPERS | 更新时间：2025-12-08

- Plant Morphological Modeling Using Fractal Geometry and Chaos Theory
- ACTA ELECTRONICA SINICA Vol. 49, Issue 9, Pages: 1776-1782(2021)
- 作者机构：
  
  1.南昌大学信息工程学院，江西南昌 330031
  2.芬兰国家PET中心图尔库大学中心医院，图尔库 20520
- 作者简介：
- 基金信息：
- DOI：10.12263/DZXB.20200041
  CLC： TP391.41
- Received：30 December 2019，
  
  Revised：2021-04-10，
  
  Published：25 September 2021
- 稿件说明：
移动端阅览
陶凌,陈安庆,邓贞宙等.应用分形几何与混沌理论进行植物形态建模[J].电子学报,2021,49(09):1776-1782.

TAO Ling,CHEN An-qing,DENG Zhen-zhou,et al.Plant Morphological Modeling Using Fractal Geometry and Chaos Theory[J].ACTA ELECTRONICA SINICA,2021,49(09):1776-1782.
陶凌,陈安庆,邓贞宙等.应用分形几何与混沌理论进行植物形态建模[J].电子学报,2021,49(09):1776-1782. DOI： 10.12263/DZXB.20200041.

TAO Ling,CHEN An-qing,DENG Zhen-zhou,et al.Plant Morphological Modeling Using Fractal Geometry and Chaos Theory[J].ACTA ELECTRONICA SINICA,2021,49(09):1776-1782. DOI： 10.12263/DZXB.20200041.

摘要

自然界植物形态的描述是近现代的一个热门话题.若以图片的形式去保存一副植物图形的信息，图形的精细程度取决于图片的存储格式和占用空间的大小，且难以实现对图形进行整体上的改动.用计算机语言对植物形态建模可仅用几十个数值计算并得出植物图形，并且可以很简单的对整体图形进行修改.植物形态建模领域中，分形几何可利用图形的自相似性更好地描绘自然界植物形态，与分形几何同为非线性领域的混沌理论在自然界事物描述中同样占有着重要地位.为了提升事物绘制的精细程度和生动性，该文章提出一种基于分形几何与混沌理论的植物形态建模算法.在分形几何运算时利用非线性科学中的混沌的不确定性，设定进入周期轨道的概率并根据概率随机进入周期轨道进行运算.通过绘制一颗基本树图形并通过调整参数实现形态的改变以验证算法的可行性，实验结果表明，本算法绘制的植物形态图形接近自然中的真实事物图形，适用于描述自然界事物图形.

Abstract

The description of plants appearance in nature is a hot topic in modern times. If save a plant graphics information in the form of a picture

the fineness of graphics depends on the storage format of the image and the amount of space it takes up. And it’s very difficult to realize the change to the graphics as a whole. By utilizing the computer language to model plant morphology can calculate and get plant graphics with only dozens of numerical

and it is easy to modify the whole graph. In the field of plant appearance modeling

fractal geometry can use the self-similarity of graphs to describe the natural appearance of plants better. Chaos theory

which is nonlinear as same as fractal geometry

also plays an important role in the description of natural objects. To improve the precision of object rendering

this paper proposed a plant morphology modeling algorithm based on theory of the fractal geometry and chaos. The uncertainty of chaos is utilized to the operation of fractal geometry. The probabilities of entering a periodic orbit are set. And then the system does the calculations based on the periodic orbitals that come in. A basic tree graph is drawn by this algorithm

and the thickness of tree trunk

the height of branch and density of tree are adjusted by adjusting the parameters in the affine transformation matrix

which verifies the feasibility of the algorithm. The experimental results demonstrated that the graph of plant drawn by this algorithm is close to the real object in nature and the algorithm is suitable for describing the object in nature.

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