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Color image encryption algorithm based on ∞-shaped transformation and closed-loop control model

delete2026-03-31
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PRE
AI
Z
Zhao, Feng
Z
Zhang, Xiaoqiang *
DOI:10.1371/journal.pone.0345460delete
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Abstract

Abstract

En 中文
As color images have become a cornerstone of information exchange in the digital age, ensuring their security is of paramount importance. With the traditional scrambling-diffusion structure, this paper proposes a novel color image encryption algorithm by integrating of an infinity -shaped transformation with a closed-loop control mechanism. First, the three channel matrices are merged, and the elements in each row are linked into a closed loop for initial diffusion. Secend, the diffused image is subsequently restructured into a three-row matrix and scrambled using a unique infinity -shaped transformation. Finally, column-wise closed-loop diffusion is applied to generate the cipher image. This algorithm not only achieves effective inter-channel pixel confusion through the infinity -shaped transformation, but also performs additional diffusion and confusion under the closed-loop control model. Experimental results demonstrate the algorithm's excellent overall performance: the key space is as large as 2413, information entropy approaches the ideal value of 8 with increasing image size, and the algorithm exhibits high sensitivity, with NPCR and UACI exceeding 99.6% and 33.4%, respectively. Quantitative evaluation confirms that the proposed algorithm offers strong robustness against differential, statistical, and brute-force attacks.
Keywords:
CHAOTIC SYSTEM
CURVE

Journal

PLoS One cover
PLoS One
IF:
2.6
Papers:
2.6W
Citations:
81.6W

Organization

C
China University of Mining & Technology
Scholars:
4.0K
Papers: 1.4K
Citations: 0
A
Anhui Xinhua University
Scholars:
238
Papers: 182
Citations: 595