系统的分形绘制

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翻新时间：2013-12-18

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系统的分形绘制

摘要

随着计算机图形学的飞速发展，人们1直研究在计算上模拟各种植物形态的可能性。计算机图形学对植物形态的模拟具有重要意义。

用分形学来模拟植物生长具有独到优势。采用1种能够逼真地模拟出植物的方法即Lindermayer系统（简称L系统）。

L系统不仅研究植物的拓扑结构,而且研究植物形态的几何解释. 根据分形L系统理论,提出建立植物生长的数学模型,并对植物生长图像的计算机模拟进行研究,为使生成的植物图像更加真实,在L系统中引入随机性,给出了生成随机L系统的算法,为提高植物生长图像的逼真性提供了有效手段。

关键词:计算机图形学；分形；L系统

Abstract

Along with computer graphics rapid development, the people study continuously in the computation simulates each kind of plant shape the possibility. The computer graphics have the vital significance to the plant shape simulation. Simulates the plant growth with a minute geometry to have the original superiority. Uses one kind to be able clearly to simulate the plant the method is the Lindermayer system (is called the L system). L system not only research plants topology, Moreover research plant shape geometry explanation According to minute shape L system theory, Proposes the establishment plant growth mathematical model, And conducts the research to the plant growth image computer simulation, In order to cause the production the plant image to be more real, Introduces randomness in the L system, Has produced the production stochastic L system algorithm, In order to enhance the plant growth image lifelike to provide the effective method.

Key words:computer graphics ; fractal ; L system