基于NSCT-DCT-DWT-SVD联合数字水印算法
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摘要
针对现有已提出的相关数字水印算法在不同攻击下存在的问题,提出一种将非下采样Contourlet变换NSCT(Non-subsampled Contourlet Transform)和DCT-DWT-SVD联合的数字水印算法。该算法将原始的宿主图像进行非下采样Contourlet变换得到与原始图像大小相同的低频子带,将低频子带进行离散小波变换分解,并对小波分解的低频部分与Arnold变换后的水印进行离散余弦变换。将变换得到的新区域与变换后的水印信息图像进行奇异值分解,将两者分解得到的奇异值矩阵相结合,作为最终的水印嵌入主成分。实验结果表明,该算法可以有效地抵抗JEPG压缩﹑椒盐噪声﹑泊松噪声﹑滤波等不同类型的攻击,在确保水印不可见性的同时具有较高的原始图像保真性。
A digital watermarking algorithm based on joint Non-subsampled Contourlet Transform( NSCT) and DCTDWT-SVD is proposed for solving the problem of attacks toward the existing digital watermarking algorithms. The algorithm performs the Non-subsampled Contourlet Transform( NSCT) on the original host image to obtain the low frequency sub-band with the same size as that of the original image. Decompose the low-frequency sub-band by using Discrete Wavelet Transform( DWT) and conduct the Discrete Cosine Transform( DCT) on the low-frequency part of the wavelet decomposition and the watermark which is transformed by Arnold. We apply the Singular Value Decomposition( SVD) on the obtained area and the watermark,and combine the two singular value matrices that obtained by the Singular Value Decomposition as the final watermark embedded principal component. The experiment shows that the algorithm can resist the different types of attacks,such as JEPG compression,impulse noise,Poisson noise and filters effectively. It ensures the invisibility of watermark with high fidelity of the original image.
A digital watermarking algorithm based on joint Non-subsampled Contourlet Transform( NSCT) and DCTDWT-SVD is proposed for solving the problem of attacks toward the existing digital watermarking algorithms. The algorithm performs the Non-subsampled Contourlet Transform( NSCT) on the original host image to obtain the low frequency sub-band with the same size as that of the original image. Decompose the low-frequency sub-band by using Discrete Wavelet Transform( DWT) and conduct the Discrete Cosine Transform( DCT) on the low-frequency part of the wavelet decomposition and the watermark which is transformed by Arnold. We apply the Singular Value Decomposition( SVD) on the obtained area and the watermark,and combine the two singular value matrices that obtained by the Singular Value Decomposition as the final watermark embedded principal component. The experiment shows that the algorithm can resist the different types of attacks,such as JEPG compression,impulse noise,Poisson noise and filters effectively. It ensures the invisibility of watermark with high fidelity of the original image.
引文
[1]刘爱利,丁浒,田丹,等.基于坡度和坡向分析的DCT域DEM数字水印算法[J].武汉大学学报(信息科学版),2016,41(7):903-910.
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[11]肖振久,李南,王永滨,等.基于Contourlet奇异值分解的强鲁棒数字水印算法[J].计算机工程,2016,42(9):138-143.
[12]陈盈,郑洪源,丁秋林.基于Zernike矩和NSCT-SVD的数字水印算法研究[J].计算机科学,2016,43(8):84-88.
[13]Cunha A L D,Zhou J,Do M N.The nonsubsampled contourlet transform:theory,design,and applications[J].IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society,2006,15(10):3089-3101.
[14]Gao G,Cai B,Xu S,et al.Watermark performance contrast between contourlet and non-subsampled contourlet transform[C]//International Conference on Information and Automation.IEEE,2012:507-511.
[15]蔡月.基于DCT和奇异值分解的数字水印算法研究[D].武汉理工大学,2006.
[16]Xiang D,Xiong Y.Image watermarking algorithm based on DWT[J].Computer Engineering and Design,2005,26(3):611-643.
[17]Liu R,Tan T.An SVD-based watermarking scheme for protecting rightful ownership[J].IEEE Transactions on Multimedia,2002,4(1):121-128.
[18]Gunjal B L,Manthalkar R R.An overview of transform domain robust digital image watermarking algorithms[J].Journal of Emerging Trends in Computing and Information Sciences,2010,2(1):37-42.
[19]Harish N J,Kumar B B S,Kusagur A.Hybrid robust watermarking technique based on DWT,DCT and SVD[J].International Journal of Advanced Electrical and Electronics Engineering,2013,2(5):137-143.
[2]邱勇,陈禹.用于版权保护的非嵌入式鲁棒数字水印算法[J].计算机应用与软件,2010,27(7):52-54.
[3]陆璐,杨志献,姜永亮.一种基于HVS的DWT数字水印算法研究[J].西南师范大学学报(自然科学版),2016,41(11):165-169.
[4]余燕忠,王新伟.DCT域水印算法的稳健性分析[J].计算机工程,2003,29(3):81-83.
[5]曲长波,阎妍.一种基于多级DCT和SVD的鲁棒数字水印算法[J].计算机应用与软件,2012,29(7):288-291.
[6]Patil H M,Rindhe B U.Study and overview of combined NSCT-DCT digital image watermarking[C]//Global Trends in Signal Processing,Information Computing and Communication(ICGTSPICC),2016 International Conference on.IEEE,2016:302-307.
[7]Singh A K,Dave M,Mohan A.Hybrid Technique for Robust and Imperceptible Image Watermarking in DWT-DCT-SVD Domain[J].National Academy Science Letters,2014,37(4):351-358.
[8]廖斌,任美玲,徐俊刚.一种基于压缩感知的盲数字水印算法[J].计算机应用与软件,2014,31(2):307-311.
[9]王祖喜,毛刘刚,胡汉平.基于数字全息和奇异值分解的鲁棒性数字水印方案[J].小型微型计算机系统,2014,35(8):1789-1793.
[10]陈木生,蔡植善.抗亮度与对比度攻击的Contourlet域图像水印方法[J].计算机工程,2015,41(11):263-266.
[11]肖振久,李南,王永滨,等.基于Contourlet奇异值分解的强鲁棒数字水印算法[J].计算机工程,2016,42(9):138-143.
[12]陈盈,郑洪源,丁秋林.基于Zernike矩和NSCT-SVD的数字水印算法研究[J].计算机科学,2016,43(8):84-88.
[13]Cunha A L D,Zhou J,Do M N.The nonsubsampled contourlet transform:theory,design,and applications[J].IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society,2006,15(10):3089-3101.
[14]Gao G,Cai B,Xu S,et al.Watermark performance contrast between contourlet and non-subsampled contourlet transform[C]//International Conference on Information and Automation.IEEE,2012:507-511.
[15]蔡月.基于DCT和奇异值分解的数字水印算法研究[D].武汉理工大学,2006.
[16]Xiang D,Xiong Y.Image watermarking algorithm based on DWT[J].Computer Engineering and Design,2005,26(3):611-643.
[17]Liu R,Tan T.An SVD-based watermarking scheme for protecting rightful ownership[J].IEEE Transactions on Multimedia,2002,4(1):121-128.
[18]Gunjal B L,Manthalkar R R.An overview of transform domain robust digital image watermarking algorithms[J].Journal of Emerging Trends in Computing and Information Sciences,2010,2(1):37-42.
[19]Harish N J,Kumar B B S,Kusagur A.Hybrid robust watermarking technique based on DWT,DCT and SVD[J].International Journal of Advanced Electrical and Electronics Engineering,2013,2(5):137-143.