## MATLAB基于分数阶傅里叶变换的图像加密研究

Title   Image encryption and hiding   based on the Fractional Fourier Transform
Abstract
With the rapid development of the modern science and technology and the Internet , an increasing number of focus on the personal privacy is noticed by many people .In the age of information ,Image encryption and information hiding are the measures that making our information cannot be stolen or distorted .This article mainly discussed that using the measure of Fraction Fourier Transform encrypt the image and deal with the digital watermarking .I also simply introduced a measure of the chaos encryption .Encrypting the image cannot recognized by the Fraction Fourier Transform ,and using the same measure decipher the image can get the original image .The digital watermarking is also used this measure to embedding and detection .The chaos encryption is one of the most popular measures of encryption , whose theory is the self-similarity of chaos ,which has good properties of encryption .During this days ,I mainly used MATLAB simulate the results ,and implemented the image encryption and decryption of the Fraction Fourier Transform .At that moment ,I also read some articles about digital watermarking and the chaos of encryption ,which makes me have a certain understanding .

Keywords  Information safety    Fraction Fourier Transform    Image encryption   Digital image watermark    The simulation of MATLAB
目   次
1  绪论 1
1.1  课题研究背景   1
1.2  理论的提出与发展   1
1.3  图像加密技术   2
1.4  数字水印技术   2
1.5  本文的研究内容和组织结构   2
2  分数阶傅里叶变换 4
2.1  基本定义   4
2.2  性质和特点  5
2.3  典型应用  6
2.4  数值计算  7
2.5  本章小结  8
3  分数阶傅里叶变换在图像加密中的研究  9
3.1  加解密步骤及方法   9
3.2  MATLAB的图像加解密原理  10
3.3  MATLAB的仿真结果  11
3.4  调整参数之后的各类仿真结果及结论  13
3.5  图像加密的安全性能  16
3.6  本章小结  16
4  分数阶傅里叶变换在数字水印中的研究  18
4.1  定义及理论基础   18
4.2  数字水印的方法论  20
4.3  本章小结  22
5  混沌图像加密  23
5.1  混沌图像加密的理论基础   23
5.2  加密算法  23
5.3  本章小结  24
6  工作展望  25 MATLAB基于分数阶傅里叶变换的图像加密研究:http://www.lwfree.cn/tongxin/20180910/22792.html
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