Color Image Encryption Based on Hyperchaotic System Combined with Compressive Sensing and Improved Chirikov Mapping.

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Title: Color Image Encryption Based on Hyperchaotic System Combined with Compressive Sensing and Improved Chirikov Mapping.
Authors: Ma, Li1 mali0614@qq.com, Zhang, Zhao2 zhangzhao333@hotmail.com, Zhou, Hongyan3 zhou321yan@163.com, Chen, Xue-Bo4 xuebochen@126.com
Source: Engineering Letters. Mar2026, Vol. 34 Issue 3, p946-956. 11p.
Subjects: Image encryption, Compressed sensing, Lorenz equations, Chaos theory
Abstract: To address the issues of large storage space occupation and high transmission costs during image transmission, this study proposes a color image encryption algorithm that integrates a hyperchaotic system, compressed sensing, and an improved Chirikov map. The algorithm improves security through a three-stage encryption process. First, dynamic parameters generated by the Lorenz hyperchaotic system are used to control the Arnold transform, scrambling the image, and significantly increasing the complexity of permutation. Second, a measurement matrix is generated with random values to achieve image encryption and compression via compressed sensing, ensuring security while reducing storage space requirements. Finally, an improved Chirikov standard map is employed for nonlinear diffusion encryption, achieving pixel-level confusion and diffusion through enhanced chaotic characteristics. Experimental results show that the information entropy is close to the ideal value of 8, the correlation coefficient is close to 0, and the pixel change rate and unified average changing intensity approach the ideal values of 99.6094% and 33.4635%, respectively. The proposed algorithm not only ensures image security but also exhibits stronger resistance to differential attacks and improved robustness. [ABSTRACT FROM AUTHOR]
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Database: Engineering Source
Description
Abstract:To address the issues of large storage space occupation and high transmission costs during image transmission, this study proposes a color image encryption algorithm that integrates a hyperchaotic system, compressed sensing, and an improved Chirikov map. The algorithm improves security through a three-stage encryption process. First, dynamic parameters generated by the Lorenz hyperchaotic system are used to control the Arnold transform, scrambling the image, and significantly increasing the complexity of permutation. Second, a measurement matrix is generated with random values to achieve image encryption and compression via compressed sensing, ensuring security while reducing storage space requirements. Finally, an improved Chirikov standard map is employed for nonlinear diffusion encryption, achieving pixel-level confusion and diffusion through enhanced chaotic characteristics. Experimental results show that the information entropy is close to the ideal value of 8, the correlation coefficient is close to 0, and the pixel change rate and unified average changing intensity approach the ideal values of 99.6094% and 33.4635%, respectively. The proposed algorithm not only ensures image security but also exhibits stronger resistance to differential attacks and improved robustness. [ABSTRACT FROM AUTHOR]
ISSN:1816093X