基于新型时空混沌系统的隐私图像加密算法

doi:10.19678/j.issn.1000-3428.0067928

摘要/Abstract

摘要：

单一混沌系统输出数据有限，且传统时空混沌系统输出分布不均易发生弱混沌现象，无法直接用于隐私图像加密。针对上述问题，利用Henon映射和耦合映像格（CML）提出一种新型时空混沌系统，即基于Henon映射的伪随机置乱耦合映像格系统（PRSCML-Henon）。该系统底层为二维离散混沌Henon映射，其中一维作为输出，另一维则作为控制信号，控制系统中的格子实现伪随机置乱，同时系统引入初等元胞自动机的输出作为系统的扰动，提高系统输出的随机性并削弱混沌系统动力学退化的不利影响，该系统相比于单一Henon映射和传统CML系统具有更强的混沌特性和随机性。在此基础上，利用PRSCML-Henon系统的输出序列设计一种隐私图像加密算法。实验结果表明，该算法不仅在实现上较为简单，且加密结果相比其他混沌图像加密算法拥有更好的统计特性和安全性，同时具备较好的鲁棒性和加密效率，适用于图像的私有加密。

关键词: 隐私图像加密, 时空混沌系统, 基于混沌图像加密, 耦合映像格, 元胞自动机

Abstract:

Traditional spatiotemporal chaotic systems, characterized by uneven output distributions and weak chaotic phenomena, are limited in their application to private image encryption. To address this, this paper introduces a novel system, the Henon-Pseudo-Random Scrambling Coupled Map Lattice(PRSCML-Henon).This system, founded on the Henon map and Coupled Map Lattices(CML), employs the Henon map's underlying mapping, with one dimension for output and another as a control signal. Enhancements in randomness and a reduction in the degradation of chaotic system dynamics are achieved by pseudo-random scrambling of the lattices in the PRSCML-Henon system and incorporating the output of Elementary Cellular Automata(ECA) as a disturbance. Exhibiting stronger chaotic characteristics and randomness, the PRSCML-Henon system surpasses both the single Henon map and traditional CML systems. Based on the output sequence of the PRSCML-Henon system, a private image encryption algorithm is designed. Experimental results demonstrate that this algorithm, despite its simplicity, offers superior statistical properties and reliable security compared to existing methods.Additionally, it exhibits robustness and high efficiency, making it highly suitable for private image encryption.

Key words: privacy image encryption, spatiotemporal chaotic system, chaos-based image encryption, Coupled Map Lattices(CML), Cellular Automata(CA)

杜鹏, 崔琦, 王思翔, 董有恒, 李晖. 基于新型时空混沌系统的隐私图像加密算法[J]. 计算机工程, 2024, 50(2): 140-153.

Peng DU, Qi CUI, Sixiang WANG, Youheng DONG, Hui LI. Privacy Image Encryption Algorithm Based on Novel Spatiotemporal Chaotic System[J]. Computer Engineering, 2024, 50(2): 140-153.

http://www.ecice06.com/CN/Y2024/V50/I2/140

图/表 27

图1 全局混沌规则

Fig.1 Global chaotic rules

图2 分岔图

Fig.2 Bifurcation diagram

图3 K熵密度

Fig.3 K entropy density

图4 K熵阔度

Fig.4 K entropy breadth

图5 各格子初始化过程

Fig.5 Initialization process of each lattice

图6 密钥流的构成

Fig.6 Constitute of key stream

图7 加解密流程

Fig.7 Procedure of encryption and decryption

图8 体检单加解密结果（灰度图）

Fig.8 The encryption and decryption of medical examination report (gray map)

图9 身份证加解密结果（彩图）

Fig.9 Encryption and decryption results of identity card(color map)

图10 直方图加密结果分析

Fig.10 Analysis of histogram encryption results

图11 体检单明文与密文的相关性分析（灰度图）

Fig.11 Correlation analysis of plaintext and ciphertext of medical examination report(gray map)

图12 身份证明文与密文的相关性分析（彩图）

Fig.12 The correlation analysis of plaintext and ciphertext of identity card (color map)

图13 体检单（灰度图）密钥敏感性测试

Fig.13 Key sensitivity test of medical examination report(gray map)

图14 身份证（彩图）敏感性测试

Fig.14 Key sensitivity test of identity card (color map)

图15 噪声鲁棒性分析

Fig.15 Robust analysis about noise

图16 体检单阻塞攻击后的解密结果

Fig.16 Decryption results after medical examination report blocking attack

图17 身份证阻塞攻击后的解密结果

Fig.17 Decryption results after identity card blocking attack

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