基于相位恢复和稀疏表示的光信息安全技术研究

The application of phase retrieval and sparse representation in optical information encoding and authentication has flourished to become a research area of great importance and interest in optical information security. Phase retrieval algorithms used in image encryption can be divided into two general algorithms, i.e., iterative phase retrieval algorithm and non-iterative phase retrieval algorithm. The iterative phase retrieval algorithm-based encryption methods can also be divided into two types according to the different use of the iterative phase retrieval technique in the image encryption system. The iterative phase retrieval technique is applied for encryption in the first type while it is used for decryption in the second type..The main work in the project are as follows: First, the research on optical image encryption techniques based on iterative phase retrieval algorithm under the framework of nonlinear double-random-phase encoding or linear double-random-phase encoding and the optical image encryption techniques based on iterative phase retrieval for decryption. We will pursue much safer systems by introducing new keys, such as aperture, polarization, wavelength multiplex, QR code and so on. Second, the study on the information encoding and authentication systems based on iterative phase retrieval and sparse representation. The applied range for sparse representation, such as photon-counting imaging and compressive sensing, will be expanded. Third and the last, the research on the optical information encoding and authentication systems based on non-iterative phase retrieval algorithm and sparse representation. This project can promote the research and development of new security technologies based on phase retrieval and sparse representation, which is of great theoretical importance and strong application value in the fields of optical information security and digital image processing.

相位恢复和稀疏表示在光信息加密与认证中的应用是目前光信息安全技术研究领域的前沿课题。光学图像加密中的相位恢复算法分为迭代相位恢复和非迭代相位恢复两种。而基于迭代相位恢复算法的光学图像加密系统也可以分为两类：一是迭代相位恢复算法加密型图像加密系统；二是迭代相位恢复算法解密型图像加密系统。项目将重点进行以下三方面的研究：一是非线性和线性双随机相位编码框架下迭代相位恢复算法加密型图像加密技术和迭代相位恢复算法解密型图像加密技术的研究，通过引入诸如光阑、偏振、QR码等手段，提升系统安全性；二是迭代相位恢复算法和稀疏表示在加密和认证系统中的联合运用，拓展光子计数成像、压缩感知等稀疏表示手段在光信息安全处理中的应用；三是基于非迭代相位恢复技术和稀疏表示的光学安全加密和认证系统的研究。本项目对促进相位恢复和稀疏表示在光信息安全处理和数字图像处理等领域的研究和应用具有重要的理论意义和应用价值。

应用相位恢复和稀疏表示技术对信息进行加密与认证是光学信息安全技术研究领域的一个前沿课题。项目的主要研究内容包括：基于非线性和线性双随机相位编码框架下图像加密和隐藏系统的研究、相位恢复算法解密型图像加密技术的研究、迭代相位恢复算法和稀疏表示在光学信息加密与认证系统的联合运用和基于非迭代相位恢复技术和稀疏表示的光学安全加密与认证系统的研究。我们提出了一种基于稀疏限定的相位恢复算法和干涉原理的图像认证与加密方法；设计了一种基于发散波照射和非对称双随机相位编码的图像加密系统;我们设计了一种新的基于两块二进制掩模的图像认证方法；提出了一种相位恢复算法和干涉原理相结合的全相位光学加密方法；提出了一种基于相位恢复算法和干涉原理的数字图像加密方法；开展了相位恢复和稀疏表示的光信息安全技术在微结构光学图像加密中的探索性的研究工作等。项目取得的主要研究进展和关键数据丰富了光信息安全处理的理论并解决了一些应用问题，具有重要科学意义和潜在应用价值；同时也促进了稀疏表示方法和相位恢复算法在数字图像处理等领域的应用研究。