毕业论文 基于分形理论的MATLAB仿真技术研究.doc

学士学位毕业设计（论文） 基于分形理论的MATLAB仿真技术研究 学生姓名： 指导教师： 所在学院：信息技术学院 专 业：通信工程 中国·大庆 2011 年 5 月 摘要 分形理论是现代非线性科学中的一个重要分支,是科学研究中一种重要的数学工具和手段。通过对分形理论的认识和相关定理的理解，做出了一些比较典型的分形图形并实现了自己想象中的一批奇特的图形。运用分形理论描述图像纹理特征，通过分析不同纹理图像及图像边缘处的分形参数，得到一种新的边缘检测分形特征，从而提出一种基于分形特征的图像边缘检测方法。在讨论边缘提取时讨论算法的简单迅速，并具有良好的抗噪性能，并且简要了分形理论边缘提取方法简述了分形理论在图像中应用原理，讨论分形编码的特点，采用分形理论的方法，进行图像边缘的检测。并结合Matlab效果图和分形算法得出的图形充分理解分形算法,本文主要介绍分形的自相似图形算法和IFS码 和IFSP码模拟图形算法，并对比matlab仿真实验学习。 关键词：分形 matlab 分形特征 边缘提取ABSTRACT Modern fractal theory is an important branch of the nonlinear science, is a kind of important scientific research of mathematical tools and methods. Based on fractal theory knowledge and understanding of the related theorem, made some typical fractal graph and realized the batch of strange oneself imagination of graphics. Using fractal theory describe image texture feature, through analyzing different texture image and image edge fractal parameters, get a new edge detection, and the fractal features is proposed based on the fractal characteristics of image edge detection methods. In discussing edge extraction to discuss the simple algorithm is very fast, and has good robust performance, and briefly the fractal theory edge extraction method described in the image fractal theory, discuss the application principle of fractal coding, with the characteristics of fractal theory, the method of image edge detection, Matlab powerful computer software intervention, will be able to realize the different image simulation better to understand knowledge, and combined with Matlab image rendering and fractal algorithm concluded graphics fully comparison, this paper mainly introduces the self-similar fractal graph algorithms and IFS yards and IFSP yards analog graphics algorithm, and contrast Matlab simulation experimental study. Keywords：fractal matlab Fractal characteristic Edge extraction 目录 摘要 I ABSTRACT II 前言 IV 1 绪论 1 1.1 分形理论的发展 1 1.2 图像处理的发展 2 1.3 论文的主要研究目的及内容 3 2 数字图像处理技术 4 2.1图像处理的概念及内容 4 2.2图像处理的边缘检测