分形树生成算法研究及其MATLAB实现

Research on Algorithms of Generating Fractal Tree and Implementation Based on MATLAB

分形理论作为一个新兴的数学分支,是对经典几何学的延伸,借助于计算机辅助手段,分形理论实现了理论与实践的紧密结合。借助于计算机,分形理论及其算法研究已经形成了一个独立的研究方向,极大地促进了分形科学的发展。同时,分形理论开始在其他领域得到广泛应用,解决了经典理论无法解决的问题,因此日益受到各国学者的重视。论文以具体的MATLAB实现方式形象的阐述了分形图形学的含义,对普及这一课题有一定的意义。

As one of the newest branches of mathematics, fractal theory is an extension of the traditional geometry has a very wide range of applications. With the help of computer aided tools, it achieves close relation between theory and practice. With the help of computer aided tools, fractal theory and the algorithms of Generating Fraetal graphics is a new branch, promotes the development of fractal science. At the same time, fractal theory began to be widely used in other fields to solve the problem which classical theory can not solve, so more and more attention was paid by scholars from different countries. The description of the meaning of fractal graphics based on MATLAB is helpful to the popularization of fractal theory.