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复数基下的图像伪装算法

DOI: 10.11834/jig.20150504

Keywords: 位值制记数法,复数基,数字图像表达,图像伪装

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Abstract:

目的图像的表达始终是图像处理领域的基础问题之一,本文研究了数字图像表达为一个复数的方法,进一步将这种表示方法应用于图像伪装.方法在位值制记数法中,取复数为基,将数字图像在复数基下表达为一个高斯整数,从而将图像与复平面上的点建立对应关系.这种数字图像表达方法,能够将图像间的关系转化为复平面上点之间的关系,从而借助几何学方法研究图像问题.据此实现了一种图像伪装算法.结果该算法不仅可以伪装一幅图像,还可以同时伪装多幅图像,也可以进行一幅图像的多次伪装.结论实验检测结果表明该伪装算法数值稳定,在理想传输环境下可准确恢复图像,如果传输过程中受到噪声污染,也能较好地恢复保密图像.

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