光学仪器, 2015, 37 (1): 75, 网络出版: 2015-03-23  

基于傅里叶变换和Gyrator变换的图像加密

Image encryption based on Fourier transform and Gyrator transform
作者单位
中国人民解放军军械工程学院 电子与光学工程系, 河北 石家庄 050003
摘要
基于傅里叶变换和Gyrator变换对图像进行加密。将原始图像和第一个随机相位函数叠加后做傅里叶变换, 然后将频域信息减去第二个随机相位函数后得到一个复函数。复函数经过Gyrator变换得到加密图像, 将第二个随机相位函数作为相位密钥, 同时将Gyrator变换角度作为密钥, 由此增大了密钥空间和增强了系统安全性。通过数字方法对图像进行加密, 解密过程用光学装置实现。计算机模拟结果表明, 该加密方法解密图像质量好, 系统安全性良好。
Abstract
A novel optical encryption is proposed based on Fourier transform and Gyrator transform. The original image is firstly multiplied with the first random phase function. Then the Fourier transform is performed and the information of the frequency domain minus the second random phase function. A complex function is obtained and the Gyrator transform is performed to get the encrypted image. The transform angle of the Gyrator transform serves as a key and the second random phase function serves as a phase key. The two keys ensure the security of the encryption system. The encryption process is performed digitally and the decryption process can be implemented in the digital and optoelectronic way. The optical decryption scheme is designed. Computer simulations indicate that the decrypted image is of good quality and the encryption system has a high security.

蔡宁, 沈学举. 基于傅里叶变换和Gyrator变换的图像加密[J]. 光学仪器, 2015, 37(1): 75. CAI Ning, SHEN Xueju. Image encryption based on Fourier transform and Gyrator transform[J]. Optical Instruments, 2015, 37(1): 75.

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