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基于带参数整数小波变换的脆弱水印

罗永1, 成礼智1, 吴翊1, 徐志宏1(国防科学技术大学理学院,长沙 410073)

摘 要
为了得到一种安全性更高,构造更简单的水印,提出了一种基于提升格式的带参数双正交整数小波的构造方法,并通过引入变型Rijndael密码构造出了一种Hash函数(记为RH算子),设计了带参数整数小波变换和RH算子相结合的脆弱数字水印。该方法在不需要原始图像和标准水印的条件下.就可以侦测到图像1bit的篡改,还可以对篡改区域进行定位。与现有基于小波变换的数字水印方法相比,带参数整数小波的使用,可以在减少计算复杂性的同时.提高水印的安全性,而变型的Rijndael密码的使用,则不仅提高了代码和电路共用率,而且降低了硬件实现的成本。大量的实验结果证明,该脆弱水印算法对篡改有极强的敏感性,且当小波参数不一致的情况下,则完全不能检测正确的水印信息。可见该脆弱水印算法具有广阔的应用前景。
关键词
A Scheme of Weak Image Watermark Based on Integer Wavelets with Parameter

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Abstract
To design a securer and easier constructed watermark, the biorthogonal integer wavelets with parameter based on lifting scheme is constructed, and a Hash function is built by transmutative Rijndael code. A digital watermark is designed by integer wavelets with parameter combined with RH arithmetic operators. This watermark algorithm posed is a kind of weak algorithm. Without original image and standard watermark, it is shown to be most sensitive to distortion, that is even 1 bit of change to the picture can be sensed. And furthermore the region distorted can be easily oriented in this algorithm. Compared with the traditional digital watermark based on integer wavelets, the integer wavelets with parameter can reduce operation and increase security by changing the parameter. The integer wavelets with parameter not only simplify the calculation but also improve the security of the watermark. And the transmutative Rijndael code increases the availability ratio of code and circuit, which reduces the cost of hardware realization greatly. Lots of simulation results show that the weak watermark is sensitive to the distortion of the image. When the parameter in the wavelet is wrong, the watermark cannot be detected correctly. The weak watermark method presented in this paper has wide applications.
Keywords

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