基于螺旋相位變換和廣義Fibonacci混沌的光學(xué)圖像加密
doi: 10.11999/JEIT190514
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齊齊哈爾大學(xué)計(jì)算機(jī)與控制工程學(xué)院 齊齊哈爾 161006
Optical Image Encryption Based on Spiral Phase Transform and Generalized Fibonacci Chaos
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College of Computer and Control Engineering, Qiqihar University, Qiqihar 161006, China
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摘要:
為了解決光學(xué)加密技術(shù)中混沌序列分布不均勻，抗選擇明文攻擊能力弱以及菲涅爾域雙隨機(jī)相位編碼系統(tǒng)對(duì)第1個(gè)衍射距離不敏感等問(wèn)題，該文基于螺旋相位變換和新型廣義Fibonacci混沌系統(tǒng)，提出一種光學(xué)圖像加密算法。在菲涅爾域的雙隨機(jī)相位編碼中對(duì)明文圖像進(jìn)行相位編碼和螺旋相位變換，克服系統(tǒng)對(duì)第1塊隨機(jī)模板和衍射距離不敏感的缺陷，提高光學(xué)密鑰敏感性。添加安全圖像與明文進(jìn)行加權(quán)干涉，進(jìn)一步提高光學(xué)密鑰敏感性和密鑰維度。構(gòu)造可產(chǎn)生均勻混沌序列的廣義Fibonacci混沌系統(tǒng)生成隨機(jī)模板，解決密鑰體積過(guò)大分發(fā)傳遞困難問(wèn)題，克服Logistic混沌分布不均勻的缺點(diǎn)，提高密鑰傳輸效率及密鑰敏感性。同時(shí)用明文哈希值SHA-256生成混沌初值和螺旋相位變換參數(shù)，使得密鑰流隨明文自適應(yīng)變化，達(dá)到“一次一密”的效果，提高算法抵抗選擇明文攻擊能力和明文敏感性，雪崩效應(yīng)更強(qiáng)。實(shí)驗(yàn)對(duì)比表明該算法明文及密鑰敏感性高，密鑰空間大，魯棒性好，能有效抵御各種攻擊，是一種高安全性的光學(xué)圖像加密方法。
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關(guān)鍵詞:
- 光學(xué)圖像加密 /
- 廣義Fibonacci混沌 /
- 螺旋相位變換 /
- 菲涅爾變換 /
- 一次一密
Abstract:In this paper, an optical image encryption algorithm based on spiral phase transform and new generalized fibonacci chaotic system is proposed to solve the problems of the Fresnel domain double random phase coding system is insensitive to the first diffraction distance, uneven distribution of chaotic sequences and weak resistance to choice plaintext attack. The plaintext image is encoded as phase information and spiral phase transformed to overcame the insensitivity of the first random phase template and diffraction distance of the Fresnel diffraction transform-double random phase encoding system. The sensitivity of the optical keys is improved. The weighted interference between secure image and plaintext image is added to further increase the sensitivity of the optical keys and dimension of key . A generalized Fibonacci chaotic system, which could generate uniform sequences, is constructed to generate phase templates to overcame uneven distribution of logistic chaos and improve the efficiency of key transmission and the sensitivity of the keys. The chaotic initial value and parameters of spiral phase transform are related to SHA-256. It makes the keys change with the plaintext and achieved the effect of “one encryption at a time”, and enhanced the sensitivity of the plaintext and the ability of the resistance to choice plaintext attack and avalanche effect.Experimental comparison shows that this method can effectively increase the plaintext sensitivity and key sensitivity. This method’ robustness and the key space are sufficiently secure. It is a high security optical image encryption method.
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表 1 NPCR和UACI值對(duì)比
改變方式 比較項(xiàng) 文獻(xiàn)[14] 文獻(xiàn)[19] 本文算法 像素值加1 NPCR $1.0082 \times {10^{{\rm{ - 5}}}}$ $1.5259 \times {10^{{\rm{ - 5}}}}$ 0.9910 UACI 0 0 0.0787 兩像素點(diǎn)交換位置 NPCR $3.0025 \times {10^{{\rm{ - 5}}}}$ $3.0518 \times {10^{{\rm{ - 5}}}}$ 0.9917 UACI $1.0003 \times {10^{{\rm{ - 5}}}}$ $1.1070 \times {10^{{\rm{ - 5}}}}$ 0.0700 
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表 2 性能對(duì)比結(jié)果
比較項(xiàng) 文獻(xiàn)[19] 文獻(xiàn)[14] 本文算法 相鄰像素相關(guān)性 水平 0.0001 0.0334 -0.0036 垂直 0.0014 0.0248 0.0004 對(duì)角 0.0014 0.0288 -0.0082 光學(xué)密鑰敏感性 ${d_1}$ ${10^{{\rm{ - }}3}}$ ${10^{{\rm{ - 4}}}}$ ${10^{{\rm{ - 4}}}}$ ${d_2}$ ${10^{{\rm{ - 4}}}}$ ${10^{{\rm{ - 5}}}}$ ${10^{{\rm{ - 5}}}}$ $\lambda $ ${10^{{\rm{ - 11}}}}$ ${10^{{\rm{ - 9}}}}$ ${10^{{\rm{ - 12}}}}$ 抵御選擇明文攻擊 否 是 是 是否依賴于明文 否 是 是 密鑰空間 ${10^{{\rm{114}}}}$ ${10^{203}}$ ${10^{300}}$
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