基于相干疊加與模均等矢量分解的光學(xué)圖像加密算法
doi: 10.11999/JEIT170489
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1.
(長沙師范學(xué)院信息與工程系 長沙 410100)
基金項目:
國家自然科學(xué)基金(41604117)，湖南省科技計劃資助項目(2015JC3067)
Optical Image Encryption Algorithm Based on Coherent Superposition and Equal Modulus Vector Decomposition
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1.
(Department of Information and Engineering, Changsha Normal University, Changsha 410100, China)
Funds:
The National Natural Science Foundation of China (41604117), The Hunan Science and Technology Plan (2015JC3067)
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摘要: 為了解決光學(xué)圖像加密技術(shù)將密文相位信息主要集中在純相位掩碼中，使其存在輪廓顯現(xiàn)問題，該文提出相干疊加與模均等矢量分解的光學(xué)圖像加密算法。首先，對輸入圖像進(jìn)行歸一化處理；基于映射，利用輸入圖像的像素特性，生成其初值，通過迭代映射，輸出混沌相位掩碼；借助相位掩碼，對圖像完成調(diào)制，并結(jié)合Fourier變換，對調(diào)制圖像進(jìn)行處理，輸出其Fourier頻譜；再對該頻譜分別進(jìn)行等模分解，獲得兩個掩碼；再基于不同分?jǐn)?shù)階的Fourier機(jī)制，對兩個掩碼進(jìn)行變換；最后，引入相位-幅度截斷編碼技術(shù)，設(shè)計單向編碼機(jī)制，通過激光束的相干疊加，輸出編碼密文的幅度與相位信息，將相位部分視為編碼密文，把幅度信息作為解密密鑰。通過等模分解技術(shù)，將輸入明文演變?yōu)?個不同的相位與幅度信息，有效解決了輪廓顯現(xiàn)問題。實驗結(jié)果顯示：與當(dāng)前基于干涉原理的圖像加密機(jī)制相比，所提算法的安全性更高，有效消除了輪廓顯現(xiàn)問題。Abstract: In order to overcome the defects such as contour emerging induced by the cipher phase information mainly concentrated in the pure phase mask and difficult to resist the amplitude phase retrieval attack in current optical image encryption technology, the optical image encryption algorithm based on coherent superposition and equal modulus vector decomposition is proposed in this paper. Firstly, the optical image is normalized, and the initial value of Logistic map is generated using the pixel characteristics of plaintext, and the random phase mask is outputted by iterative the logistic map. Then the image is modulated by random phase function, and the modulated image is processed based on Fourier transform to output the Fourier spectrum. Then, the Fourier spectrum is decomposed equal module to obtain two masks. Each mask is transformed based on Fourier mechanism with different fractional order. Finally, a one-way coding scheme is designed based on phase - amplitude truncation coding technique to get the amplitude and phase information of each Fourier spectrum, which regards the phase part as coding cipher, and the amplitude information as the decryption key. The input plaintext is transformed into 4 different information of phases and amplitudes using the equal modulus vector decomposition technique to solve effectively the problem of contour representation. The experimental results show that the proposed algorithm has higher security for effectively solving the contour appearance problem compared with current image encryption schemes based on the interference theory.
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