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<p>In computers, chaotic sequences derived from discrete hyperchaotic maps tend to exhibit stronger pseudo-random properties compared to those of traditional chaotic systems, and the random decay of these sequences over time has been greatly improved. Besides, discrete chaotic maps generally have the advantage of a simple structure and easy implementation of codes and circuits. Therefore, the introduction of discrete hyperchaotic maps into image encryption algorithms is considered, which can provide improved security for cipher images as well as operational efficiency for the algorithms. In this paper, 2D compressed sensing as well as wavelet packet decomposition are successively adopted to further extract the main information, which significantly reduces the data dimensionality and computational redundancy. Subsequently, the proposed 2D-SCSM (2D self-coupled Sine mapping) is employed to generate multiple sets of pseudo-random sequences that are strongly correlated with partial pixels of the plain image. Eventually, the coordinate mapping and the diffusion operation related to the water droplet phenomenon are introduced. This approach enhances execution efficiency by minimizing the processing load in encryption stages while maintaining robust security. Simulation experiments and performance analysis adequately demonstrate the effectiveness and efficiency of the proposed algorithm.</p>

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An efficient image encryption algorithm utilizing coordinate mapping and the phenomenon of water wave diffusion

  • 期刊论文

  • 发表日期：

    2026年6月30日

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  • Kexin Ning,
  • Mingyu Guan,
  • Chenglong He,
  • Keke Zhang,
  • Hao Zhou,
  • Zheng Wang

摘要

In computers, chaotic sequences derived from discrete hyperchaotic maps tend to exhibit stronger pseudo-random properties compared to those of traditional chaotic systems, and the random decay of these sequences over time has been greatly improved. Besides, discrete chaotic maps generally have the advantage of a simple structure and easy implementation of codes and circuits. Therefore, the introduction of discrete hyperchaotic maps into image encryption algorithms is considered, which can provide improved security for cipher images as well as operational efficiency for the algorithms. In this paper, 2D compressed sensing as well as wavelet packet decomposition are successively adopted to further extract the main information, which significantly reduces the data dimensionality and computational redundancy. Subsequently, the proposed 2D-SCSM (2D self-coupled Sine mapping) is employed to generate multiple sets of pseudo-random sequences that are strongly correlated with partial pixels of the plain image. Eventually, the coordinate mapping and the diffusion operation related to the water droplet phenomenon are introduced. This approach enhances execution efficiency by minimizing the processing load in encryption stages while maintaining robust security. Simulation experiments and performance analysis adequately demonstrate the effectiveness and efficiency of the proposed algorithm.