基于二维耦合映像格子模型的图像压缩加密方案
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国家自然科学基金 (61876200);贵州省教育厅青年科技人才成长项目(黔教合KY字[2017]210, 黔教合KY字[2018]260);贵州省科学技术基金计划(黔科合基础[2020]1Y422, 黔科合基础[2019]1249, 黔科合基础[2019]1425)


Image compression and encryption scheme based on the two-dimensional coupled map lattice model
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The National Natural Science Foundation of China (61876200);The Guizhou Education Department Youth Science and Technology Talent Growth Project (QianJiaoHe-KY-Zi[2017]210, QianJiaoHe-KY-Zi[2018]260);The Science and Technology Foundation Project of Guizhou Province (QianKeHeJiChu[2020]1Y422, QianKeHeJiChu[2019]1249, QianKeHeJiChu[2019]1425)

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    摘要:

    二维耦合映像格子(two-dimensional coupled map lattice,2D CML)模型具有很复杂的动力学行为,它的最大李雅普诺夫指数(maximum Lyapunov exponent,MLE)是由局部混沌映射函数决定。选择具有较大的李雅普诺夫指数(Lyapunov exponent,LE)的分段logistic函数(piecewise logistic map,PLM)作为模型的局部映射函数。通过独立性假设实验,验证2D CML模型在一定条件下拟服从独立同分布。在并行压缩感知条件下,基于2D CML模型产生压缩测量矩阵,使用测量矩阵对原始图像的每一列并行压缩采样。对采样图像进行处理和多轮扩散,实现对图像的加密,并对加密后的图像性能进行实验分析。实验表明,基于2D CML模型的图像压缩加密方案具有较好的加密性能和应用前景。

    Abstract:

    Two-dimensional coupled map lattice (2D CML) model has quite complex dynamic behavior. Its maximum Lyapunov exponent (MLE) is only determined by the local chaotic map. Therefore, a piecewise logistic map (PLM) with much larger Lyapunov exponent (LE) value is selected as the local mapping function of the 2D CML model. According to the independence hypothesis experiment, it is proved that the 2D CML model is intended to obey independent and identical distribution under certain conditions. With the parallel compressed sensing, a compressed sensing measurement matrix is generated by the 2D CML model, and the original image is sampled by compressed sensing measurement matrix. The image is encrypted by processing and multi-round diffusion of the sampled image, and the performance of the encrypted image is analyzed experimentally. Experiments show that the image compression encryption scheme based on 2D CML model has good encryption performance and application prospects.

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刘卓,王永.基于二维耦合映像格子模型的图像压缩加密方案[J].重庆邮电大学学报(自然科学版),2020,32(6):1048-1057.

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  • 收稿日期:2020-05-08
  • 最后修改日期:2020-10-13
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  • 在线发布日期: 2020-12-23

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