Multi-depth three-dimensional image encryption based on the phase retrieval algorithm in the Fresnel and fractional Fourier transform domains

Piao Mei-Lan; Liu Zi-Xiong; Piao Yan-Ling; Wu Hui-Ying; Yu Zhao; Kim Nam

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Multi-depth three-dimensional image encryption based on the phase retrieval algorithm in the Fresnel and fractional Fourier transform domains

机译：基于菲涅耳和分数傅里叶变换域的相位检索算法的多深度三维图像加密

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摘要

We propose a multi-depth three-dimensional (3D) image cryptosystem by employing the phase retrieval algorithm in the Fresnel and fractional Fourier (Fr-FrF) domains. Encryption was realized by applying the phase retrieval algorithm based on the double-random-phase-encoding architecture in which two encryption keys will be incessantly updated in each iteration loop. The phase-only functions (POFs) are generated in two cascaded Fr-FrF transforms (Fr-FrFT), serving as decryption keys to efficiently reduce the speckle noise and crosstalk between encrypted 3D image depths. The use of Fr-FrFT position parameters and fractional order as decryption keys further extended the key space, enhancing the cryptosystem's security level. Numerical simulations demonstrated the feasibility and robustness of our proposed scheme. (C) 2018 Optical Society of America.

机译：通过在菲涅耳和分数傅里叶（FR-FRF）域中采用相位检索算法，提出多深三维（3D）图像密码系统。通过基于双随机相位编码架构应用相位检索算法来实现加密，其中在每个迭代循环中，两个加密密钥将不间断地更新两个加密密钥。仅相位函数（POF）在两个级联的FR-FRF变换（FR-FRFT）中产生，用作解密键，以有效地减少加密的3D图像深度之间的斑点噪声和串扰。使用FR-FRFT位置参数和分数顺序作为解密密钥进一步扩展了关键空间，增强了密码系统的安全级别。数值模拟证明了我们提出的计划的可行性和稳健性。（c）2018年光学学会。

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来源
《Applied optics》 |2018年第26期|共9页
作者
Piao Mei-Lan; Liu Zi-Xiong; Piao Yan-Ling; Wu Hui-Ying; Yu Zhao; Kim Nam;
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作者单位

Jilin Univ Coll Commun Engn 5327 Nanhu Rd Changchun 130012 Jilin Peoples R China;

Jilin Univ Coll Commun Engn 5327 Nanhu Rd Changchun 130012 Jilin Peoples R China;

Chungbuk Natl Univ Sch Elect Engn &

Comp Sci 1 Chungdae Ro Cheongju 362763 Chungbuk South Korea;

Chungbuk Natl Univ Sch Elect Engn &

Comp Sci 1 Chungdae Ro Cheongju 362763 Chungbuk South Korea;

Chungbuk Natl Univ Sch Elect Engn &

Comp Sci 1 Chungdae Ro Cheongju 362763 Chungbuk South Korea;

Chungbuk Natl Univ Sch Elect Engn &

Comp Sci 1 Chungdae Ro Cheongju 362763 Chungbuk South Korea;

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Multi-depth three-dimensional image encryption based on the phase retrieval algorithm in the Fresnel and fractional Fourier transform domains

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