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首页> 外文期刊>Optics and Lasers in Engineering >Fractional Fourier plane image encryption technique using radial hilbert-, and Jigsaw transform
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Fractional Fourier plane image encryption technique using radial hilbert-, and Jigsaw transform

机译：使用径向希尔伯特和Jigsaw变换的分数傅里叶平面图像加密技术

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摘要

A new method for image encryption using integral order radial Hilbert transform (RHT) filter in the fractional Fourier transform (FRT) domain has been proposed. The technique is implemented using the popular double random phase encoding method in the fractional Fourier domain. The random phase masks (RPMs), integral orders of the RHT, fractional orders of FRT, and indices of the Jigsaw transform (JT) have been used as keys for encryption and decryption. Simulation results have been presented and the schematic representation for optical implementation has been proposed. The mean-square-error and signal-to-noise ratio between the decrypted image and the input image have been calculated for the correct as well as incorrect orders of the RHT. Effect of occlusion and noise on the performance of the proposed scheme has also been studied. The robustness of the technique has been verified against attack using partial windows of the correct random phase masks. Similar investigations have also been carried out for the chosen-, and the known-plain-text attacks.
机译：提出了一种在分数阶傅立叶变换（FRT）域中使用积分阶径向希尔伯特变换（RHT）滤波器进行图像加密的新方法。该技术是使用分数傅里叶域中流行的双随机相位编码方法实现的。随机相位掩码（RPM），RHT的整数阶，FRT的分数阶和Jigsaw变换（JT）的索引已用作加密和解密的密钥。给出了仿真结果，并提出了用于光学实现的示意图。对于RHT的正确和错误阶数，已计算出解密图像和输入图像之间的均方误差和信噪比。还研究了遮挡和噪声对所提方案性能的影响。通过使用正确随机相位掩码的部分窗口，已验证了该技术的鲁棒性，可抵御攻击。对于选定的和已知的纯文本攻击也进行了类似的研究。

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