基于快速傅里叶变换和超混沌的多生物特征图像加密方法

Cong Ding, Ru Xue, Shi-Jin Niu
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摘要

生物特征图像是个人身份验证和识别的重要手段,关系到个人隐私和财产安全。针对多生物特征图像加密传输中存在的安全性差、图像重建质量低等问题,提出了一种基于快速傅里叶变换(FFT)和超混沌系统的多生物特征图像加密方法。首先,利用FFT将多生物特征图像从空间域变换到频域。然后,利用一维混沌逻辑系统生成超混沌洛伦兹系统的初始值,生成密钥流。结合矩阵重构和无重复置乱的编码规则,利用快速傅里叶反变换将变换域中的幅值和相位的多个矩阵重构为多个RGB三通道彩色图像。然后,我们在每个颜色通道上结合加性模式和伽罗瓦域扩散两种扩散方法进行混淆和扩散。最后,将多幅灰度图像加密为多幅彩色图像。实验结果表明,该方法能够有效防御各种攻击。此外,它还解决了多图像安全领域存在的重建精度低的问题。
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Multibiometric Images Encryption Method Based on Fast Fourier Transform and Hyperchaos
Biometric images are an important means of personal identity verification and identification and are related to personal privacy and property security. To address the problems of poor security and low image reconstruction quality in the encryption and transmission of multibiometric images, a multibiometric images encryption method based on Fast Fourier Transform (FFT) and hyperchaotic system is proposed. First, the FFT is used to transform the multibiometric images from spatial to frequency domain. Then, the initial values of the hyperchaotic Lorenz system are generated using a one-dimensional chaotic logistic system to generate the key stream. Combined with the recoding rules of matrix reconstruction and scrambling without repetition of using multimatrix, the multiple matrices of amplitude and phase in the transform domain are reconstructed to be multiple RGB three-channel color images by using the inverse fast Fourier transform. Then, we combine the two diffusion methods of additive mode and Galois domain diffusion on each color channel to perform confusion and diffusion. Finally, the multiple grayscale images are encrypted to become multiple color images. The experimental results demonstrate that the method can effectively defend against various attacks. In addition, it solves the problem of low reconstruction accuracy that exists in the field of multiple images security.
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