基于Arnold置乱和混沌加密的小波域数字水印算法
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摘要
为了提高水印信息和嵌入位置的安全,并提高算法抗各种攻击的鲁棒性,文中提出一种基于Arnold变换和Logistic混沌系统的小波域水印算法。首先对水印图像进行F次Arnold位置置乱得到初次加密的水印图像,其次对初次加密的水印图像进行基于Logistic混沌序列的像素值扰乱,得到二次加密的水印图像,然后设置随机种子生成随机嵌入位置,将双重加密后的水印图像随机地嵌入到小波域低频子带的奇异值矩阵中,逆小波变换得到含水印的载体图像。实验表明,该算法对不同的载体图像嵌入不同的水印图像都具有很好的透明性,对常见的各种攻击具有较强的鲁棒性。该算法克服了Arnold变换的周期性所产生的安全问题,具备对密钥敏感的特性,提高了算法的安全性。
In order to improve the security of watermarking image and embedding location,a digital watermarking algorithm in wavelet domain based on Arnold and Logistic was proposed. The algorithm has improved the robustness against various malicious attacks. Firstly,the first time encryption image was obtained by Arnold scrambling many times. Secondly,the double encryption image was obtained by disturbing pixel value adopting Logistic chaotic. Thirdly,the double encryption image was embedded in the singular value matrix of low-frequency wavelet coefficients of a carrier image. The embedding location was random. A lot of experiments show that the proposed algorithm has good transparency and strong robustness. And the algorithm overcomes the periodic shortcoming of Arnold and is sensitive to secretkey. So the security of algorithm has been improved.
In order to improve the security of watermarking image and embedding location,a digital watermarking algorithm in wavelet domain based on Arnold and Logistic was proposed. The algorithm has improved the robustness against various malicious attacks. Firstly,the first time encryption image was obtained by Arnold scrambling many times. Secondly,the double encryption image was obtained by disturbing pixel value adopting Logistic chaotic. Thirdly,the double encryption image was embedded in the singular value matrix of low-frequency wavelet coefficients of a carrier image. The embedding location was random. A lot of experiments show that the proposed algorithm has good transparency and strong robustness. And the algorithm overcomes the periodic shortcoming of Arnold and is sensitive to secretkey. So the security of algorithm has been improved.
引文
[1]Yuang Zhi-hua,Yang Bai-long,Zhao Wen-qiang,et al. A Robust Zero Watermarking Algorithm Based on NSCT_DCT[C]. Beijing,China:International conference on mechanical,electronic,control and automation on engineering,2017:117-121.
[2] Lei Min,Yang Yu,Liu Xiao-ming,et al. Audio Zero-Watermark Scheme Based on Discrete Cosine Transform-Discrete Wavelet Transform-Singular Value Decomposition[J]. China Communications,2016,7:117-121.
[3]吴少宝,沈东升,王佳莹.一种抗几何攻击的数字水印算法[J].信息技术,2018(7):48-51,55.
[4]石红芹,余鹰,王艳.一种基于NSCT与小波变换的全频域双水印算法[J].包装工程,2017,38(15):155-159.
[5]王琳娟,李君霞.基于分块的多级DCT和SVD的鲁棒水印算法[J].计算机时代,2017(9):51-55.
[6]吴明珠,陈瑛,李昕娣.一个基于DWT和改进Arnold置乱的数字水印算法[J].内蒙古师范大学学报:自然科学汉文版,2013,42(6):687-691,696.
[7]孙倩,胡苏.基于改进cat映射与混沌系统的彩色图像快速加密算法[J].计算机应用研究,2017,34(1):233-237,255.
[8]汪彦,涂立.基于改进Lorenz混沌系统的图像加密新算法[J].中南大学学报:自然科学版,2017,48(10):2678-2685.
[9]李琪,廖鑫,屈国庆,等.基于Arnold变换的数字图像自适应隐写算法[J].通信学报,2016,37(6):192-198.
[10]肖振久,李南,王永滨,等.基于超混沌的医学图像篡改定位零水印算法[J].计算机工程与应用,2017,53(7):115-120.
[11]Cheng Wei,Li Zhao-dan. Robust Watermarking Algorithm of Color Image Based on DWT-DCT and Chaotic[C]. Wu Han,China:2016 First IEEE International Conference on Computer Communication and the Internet. 2016:370-373.
[12]马婷,陈农田,王欣.基于NSCT-DWT-SVD的强鲁棒多重数字水印算法[J].包装工程,2016,37(15):50-55.
[13]任克强,梁亮亮,喻玲娟. SVD与HVS相结合的小波域数字图像鲁棒水印[J].电子测量与仪器学报,2017,31(6):869-875.
[14]孙业强,王晓红,李肖赫.基于QR码和DWT-SVD技术的双彩色盲水印算法[J].包装工程,2017,38(11):193-198.
[15]江泽涛,陈微.基于DWT-DCT-SVD的彩色图像零水印算法[J].微电子学与计算机,2016,33(8):107-111.
[2] Lei Min,Yang Yu,Liu Xiao-ming,et al. Audio Zero-Watermark Scheme Based on Discrete Cosine Transform-Discrete Wavelet Transform-Singular Value Decomposition[J]. China Communications,2016,7:117-121.
[3]吴少宝,沈东升,王佳莹.一种抗几何攻击的数字水印算法[J].信息技术,2018(7):48-51,55.
[4]石红芹,余鹰,王艳.一种基于NSCT与小波变换的全频域双水印算法[J].包装工程,2017,38(15):155-159.
[5]王琳娟,李君霞.基于分块的多级DCT和SVD的鲁棒水印算法[J].计算机时代,2017(9):51-55.
[6]吴明珠,陈瑛,李昕娣.一个基于DWT和改进Arnold置乱的数字水印算法[J].内蒙古师范大学学报:自然科学汉文版,2013,42(6):687-691,696.
[7]孙倩,胡苏.基于改进cat映射与混沌系统的彩色图像快速加密算法[J].计算机应用研究,2017,34(1):233-237,255.
[8]汪彦,涂立.基于改进Lorenz混沌系统的图像加密新算法[J].中南大学学报:自然科学版,2017,48(10):2678-2685.
[9]李琪,廖鑫,屈国庆,等.基于Arnold变换的数字图像自适应隐写算法[J].通信学报,2016,37(6):192-198.
[10]肖振久,李南,王永滨,等.基于超混沌的医学图像篡改定位零水印算法[J].计算机工程与应用,2017,53(7):115-120.
[11]Cheng Wei,Li Zhao-dan. Robust Watermarking Algorithm of Color Image Based on DWT-DCT and Chaotic[C]. Wu Han,China:2016 First IEEE International Conference on Computer Communication and the Internet. 2016:370-373.
[12]马婷,陈农田,王欣.基于NSCT-DWT-SVD的强鲁棒多重数字水印算法[J].包装工程,2016,37(15):50-55.
[13]任克强,梁亮亮,喻玲娟. SVD与HVS相结合的小波域数字图像鲁棒水印[J].电子测量与仪器学报,2017,31(6):869-875.
[14]孙业强,王晓红,李肖赫.基于QR码和DWT-SVD技术的双彩色盲水印算法[J].包装工程,2017,38(11):193-198.
[15]江泽涛,陈微.基于DWT-DCT-SVD的彩色图像零水印算法[J].微电子学与计算机,2016,33(8):107-111.