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首页> 外文期刊>Mathematical Problems in Engineering >A Novel 1D Hybrid Chaotic Map-Based Image Compression and Encryption Using Compressed Sensing and Fibonacci-Lucas Transform
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A Novel 1D Hybrid Chaotic Map-Based Image Compression and Encryption Using Compressed Sensing and Fibonacci-Lucas Transform

机译：基于压缩传感和斐波那契-卢卡斯变换的新型一维混合混沌映射图像压缩与加密

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摘要

A one-dimensional (1D) hybrid chaotic system is constructed by three different 1D chaotic maps in parallel-then-cascade fashion. The proposed chaotic map has larger key space and exhibits better uniform distribution property in some parametric range compared with existing 1D chaotic map. Meanwhile, with the combination of compressive sensing (CS) and Fibonacci-Lucas transform (FLT), a novel image compression and encryption scheme is proposed with the advantages of the 1D hybrid chaotic map. The whole encryption procedure includes compression by compressed sensing (CS), scrambling with FLT, and diffusion after linear scaling. Bernoullimeasurement matrix in CS is generated by the proposed 1D hybrid chaoticmap due to its excellent uniform distribution. To enhance the security and complexity, transform kernel of FLT varies in each permutation round according to the generated chaotic sequences. Further, the key streams used in the diffusion process depend on the chaotic map as well as plain image, which could resist chosen plaintext attack (CPA). Experimental results and security analyses demonstrate the validity of our scheme in terms of high security and robustness against noise attack and cropping attack.
机译：一维（1D）混合混沌系统是由三个不同的一维混沌映射以并行然后级联的方式构造的。与现有的一维混沌图谱相比，所提出的混沌图谱具有较大的密钥空间，并且在某些参数范围内表现出更好的均匀分布特性。同时，结合压缩感知（CS）和斐波那契-卢卡斯变换（FLT），提出了一种基于一维混合混沌映射的图像压缩加密方案。整个加密过程包括压缩感知（CS）压缩，FLT加扰以及线性缩放后的扩散。 CS中的伯努利测量矩阵由于其出色的均匀分布而由提出的一维混合混沌映射生成。为了提高安全性和复杂性，FLT的变换内核会根据生成的混沌序列在每个排列回合中变化。此外，在扩散过程中使用的密钥流取决于混沌映射以及纯图像，这可以抵抗选择的纯文本攻击（CPA）。实验结果和安全性分析证明了我们的方案在针对噪声攻击和裁剪攻击的高安全性和鲁棒性方面的有效性。

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  • 来源
    《Mathematical Problems in Engineering》 |2016年第5期|7683687.1-7683687.15|共15页
  • 作者

    Zhang Tongfeng; Li Shouliang; Ge Rongjun; Yuan Min; Ma Yide;

  • 作者单位

    Lanzhou Univ, Sch Informat Sci & Engn, Lanzhou 730000, Gansu, Peoples R China;

    Lanzhou Univ, Sch Informat Sci & Engn, Lanzhou 730000, Gansu, Peoples R China;

    Lanzhou Univ, Sch Informat Sci & Engn, Lanzhou 730000, Gansu, Peoples R China;

    Lanzhou Univ, Sch Informat Sci & Engn, Lanzhou 730000, Gansu, Peoples R China;

    Lanzhou Univ, Sch Informat Sci & Engn, Lanzhou 730000, Gansu, Peoples R China;

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