时频联合变换域的图像信息光学加密技术研究

项目名称： 时频联合变换域的图像信息光学加密技术研究

项目编号： No.61202446

项目类型： 青年科学基金项目

立项/批准年度： 2013

项目学科： 计算机科学学科

项目作者： 郎俊

作者单位： 东北大学

项目金额： 25万元

中文摘要： 图像加密是信息时代保护图像信息安全的重要手段，以数学为基础的传统计算机安全技术在处理速度与安全性之间存在难以弥合的矛盾，已成为制约信息安全的瓶颈。与电子处理方法相比，光学信息处理恰恰在处理速度、并行性、加密维度、安全性等方面具有得天独厚的优势，因此探索和开发光学信息安全系统具有很高的学术和应用价值。 本项目拟利用分数傅里叶变换的时频信息联合表示特性和光学属性，以发展分数傅里叶变换的基础理论和丰富其在图像加密方面的应用体系为目的，研究基于分数傅里叶变换的光学加密关键技术。重点研究分数傅里叶变换的多样性理论和光学实现，为算法可持续发展提供理论基础。针对图像数据特点以及现有加密算法的不足，结合密码学基本原理以及分数傅里叶变换的信号处理特性，设计满足网络化、数字化传输需求的图像加密新理论和新方法，构建分数傅里叶域的保密通信方案和信息保护系统，可为进一步推广光学在信息安全领域应用提供新思路、新技术。

中文关键词： 分数傅里叶变换；图像加密；密码学；光学信息处理；

英文摘要： Image encryption is the key technology for image security, and also the most direct and effective means to protect image information. The classical math-based cryptography method is losing security more and more as the computational power is increased by technical innovations, and it also confronts some unreconciled contradictions between processing speed and security. Compared with the electronic approaches, image encryption by use of optical systems has received increasing attention, because of their distinct advantages of processing two-dimensional complex data in parallel and at high speed. Therefore, the exploration and development of optical information security system has high academic and practical value. The project intends to take advantages of joint time-frequency representation features and optical properties of the fractional Fourier transform (FRFT), and researches on the basic theories of the fractional Fourier transform and its application to optical encryption key technologies. We mainly focus on the multiplicity problem of FRFT in order to provide a theoretical basis for the development of encryption algorithms. Considering the characteristics of image data, as well as the deficiencies of the existing encryption algorithms, we design new image encryption methods to meet the requirements of digi

英文关键词： Fractional Fourier Transform；Image encryption；Cryptography；Optical information processing；