Tao Ran, Xin Yi, Wang Yue
Opt Express. 2007 Nov 26;15(24):16067-79. doi: 10.1364/oe.15.016067.
A novel image encryption method is proposed by utilizing random phase encoding in the fractional Fourier domain to encrypt two images into one encrypted image with stationary white distribution. By applying the correct keys which consist of the fractional orders, the random phase masks and the pixel scrambling operator, the two primary images can be recovered without cross-talk. The decryption process is robust against the loss of data. The phase-based image with a larger key space is more sensitive to keys and disturbances than the amplitude-based image. The pixel scrambling operation improves the quality of the decrypted image when noise perturbation occurs. The novel approach is verified by simulations.
提出了一种新颖的图像加密方法，该方法利用分数傅里叶域中的随机相位编码将两幅图像加密成一幅具有平稳白色分布的加密图像。通过应用由分数阶、随机相位掩模和像素置乱算子组成的正确密钥，可以恢复两幅原始图像而不会产生串扰。解密过程对数据丢失具有鲁棒性。与基于幅度的图像相比，具有更大密钥空间的基于相位的图像对密钥和干扰更敏感。当出现噪声干扰时，像素置乱操作提高了解密图像的质量。通过仿真验证了该新方法。
