基于分块FRIT-SVD的鲁棒零水印算法
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摘要
针对水印图像轮廓特征的提取,使用小波变换并不是最佳方式,脊波变换较小波变换有着更好的逼近精度和稀疏性能。结合二维混沌系统、SVD和位平面技术共同构造零水印信息,提出了一种基于脊波变换域的鲁棒零水印算法。该算法首先对载体图像进行二维一级小波变换提取低频域,利用分块策略对其分块并进行有限脊波变换(FRIT),经SVD提取最大奇异值构造特征矩阵后,使用二维混沌系统对特征矩阵进行置乱加密,提取特征矩阵中的重要位平面与加密水印信号结合生成注册零水印信息,不仅提高了水印鲁棒性,双重加密后的水印安全性能也得到提升。实验表明,该算法具有较好的鲁棒性、安全性和易操作性,能够有效抵抗各类图像攻击。
Wavelet transform is not the best way for extracting watermarking image contour features.Compared with the wavelet transform,the ridgelet transform has better accuracy and sparse approximation performance.We propose a robust zero-watermarking algorithm based on ridgelet transform domain,which combines the two-dimensional chaotic system,SVD and bit-plane to construct the watermarking.Firstly,the algorithm takes advantage of the wavelet transform to extract the low-frequency domain in the carrier image.Secondly,we decompose the low-frequency domain according to the blocking strategy.When all the blocks are transformed by the FRIT,the characteristic matrix can be constructed by the SVD.Moreover,we apply the two-dimensional chaotic system to encrypt the characteristic matrix.Finally,we extract the most significant bit-plane in the feature matrix,and generate registration zero-watermarking information by combining the encrypted meaningful watermarking,which not only improves the robustness of the watermarking,but also greatly enhances the security of watermarking through double encryption.Experimental results demonstrate that the algorithm has good robustness,security and easy operation,and that it can effectively resist various types of attacks.
Wavelet transform is not the best way for extracting watermarking image contour features.Compared with the wavelet transform,the ridgelet transform has better accuracy and sparse approximation performance.We propose a robust zero-watermarking algorithm based on ridgelet transform domain,which combines the two-dimensional chaotic system,SVD and bit-plane to construct the watermarking.Firstly,the algorithm takes advantage of the wavelet transform to extract the low-frequency domain in the carrier image.Secondly,we decompose the low-frequency domain according to the blocking strategy.When all the blocks are transformed by the FRIT,the characteristic matrix can be constructed by the SVD.Moreover,we apply the two-dimensional chaotic system to encrypt the characteristic matrix.Finally,we extract the most significant bit-plane in the feature matrix,and generate registration zero-watermarking information by combining the encrypted meaningful watermarking,which not only improves the robustness of the watermarking,but also greatly enhances the security of watermarking through double encryption.Experimental results demonstrate that the algorithm has good robustness,security and easy operation,and that it can effectively resist various types of attacks.
引文
[1]Wen Quan,Sun Tan-feng,Wang Shu-xun.Concept and application of Zero-watermark[J].Acta Electronica Sinica,2003,31(2):214-216.(in Chinese)
[2]Zeng Wen-quan,Xiong Xiang-guang.Robust zero watermarking algorithm based on integer wavelet transform[J].Microelectronics&Computer,2016,33(4):97-101.(in Chinese)
[3]Wu Wei-min,Ding Ran,Lin Zhi-yi,et al.Zero-watermarking algorithm based on cellular automata and singular value decomposition[J].Journal of Computer Applications,2014,34(6):1689-1693.(in Chinese)
[4]Qu Chang-bo,Wang Dong-feng.Robust zero watermarking algorithm based on bit plane theory and singular value decomposition[J].Journal of Computer Applications,2014,34(12):3462-3465.(in Chinese)
[5]Campisi P,Kundur D,Neri A.Robust digital watermarking in the ridgelet domain[J].IEEE Signal Processing Letters,2004,11(10):826-830.
[6]Gao Hu-ming,Jia Li-yuan,Liu Mei-ling.Digital image watermarking algorithm resisting attacks based on improved ridgelet transform[J].Application Research of Computers,2014,31(9):2750-2753.(in Chinese)
[7]Deng Cheng-zhi,Cao Han-qiang,Wang Sheng-qian.Blind digital watermarking scheme in ridgelet domain[J].Opto-Electronic Engineering,2007,34(5):131-135.(in Chinese)
[8]Do M N,Vetterli M.The finite ridgelet transform for image representation[J].IEEE Transactions on Image Processing,2003,12(1):16-28.
[9]Mangaiyarkarasi P,Arulselvi S.A new digital image watermarking based on finite ridgelet transform and extraction using ICA[C]∥Proc of 2011International Conference on Emerging Trends in Electrical and Computer Technology(ICETECT),2011:837-841.
[10]Wang Xiang-yang,Hu Feng-li.A robust color image retrieval based on significant bit-plane[J].Journal of Image and Graphics,2007,12(9):1647-1652.(in Chinese)
[11]Liu J J,Jiang H,Liang G Y.A watermarking algorithm for digital image based on logistic and SVD[C]∥Proc of International Conference on Intelligent Computing and Integrated Systems,2010:140-144.
[12]Chen Wei-qi,Li Qian.A DWT-SVD based double-zero-watermarking algorithm[J].Computer Engineering&Science,2014,36(10):1991-1996.(in Chinese)
[13]Qu Chang-bo,Yang Xiao-tao,Shi Shuang-yu.Robust watermarking algorithm based on hybrid chaotic system and multiwavelet[J].Computer Engineering and Applications,2014,50(24):91-95.(in Chinese)
[14]Zhang Yong-hong,Zhang Bo.Algorithm of image encrypting based on Logistic chaotic system[J].Application Research of Computers,2015,32(6):1770-1773.(in Chinese)
[15]Wang C C,Tai S C,Yu C S.Repeating image watermarking technique by the visual cryptography[J].IEICE Transactions on Fundamentals of Electronics Communications&Computer Sciences,2000,60(8):1621-1631.
[1]温泉,孙锬锋,王树勋.零水印的概念与应用[J].电子学报,2003,31(2):214-216.
[2]曾文权,熊祥光.基于整数小波变换的鲁棒零水印算法[J].微电子学与计算机,2016,33(4):97-101.
[3]吴伟民,丁冉,林志毅,等.基于细胞自动机与奇异值分解的零水印算法[J].计算机应用,2014,34(6):1689-1693.
[4]曲长波,王东峰.基于位平面理论和奇异值分解的鲁棒零水印算法[J].计算机应用,2014,34(12):3462-3465.
[6]高虎明,贾丽媛,刘美玲.基于改进脊波变换的抗攻击数字水印算法[J].计算机应用研究,2014,31(9):2750-2753.
[7]邓承志,曹汉强,汪胜前.脊波变换域盲数字水印方案[J].光电工程,2007,34(5):131-135.
[10]王向阳,胡峰丽.一种基于重要位平面的鲁棒图像检索算法[J].中国图象图形学报,2007,12(9):1647-1652.
[12]陈伟琦,李倩.基于DWT-SVD的图像双零水印算法[J].计算机工程与科学,2014,36(10):1991-1996.
[13]曲长波,杨晓陶,史双宇.基于复合混沌系统的多小波鲁棒水印算法[J].计算机工程与应用,2014,50(24):91-95.
[14]张永红,张博.基于Logistic混沌系统的图像加密算法研究[J].计算机应用研究,2015,32(6):1770-1773.
[2]Zeng Wen-quan,Xiong Xiang-guang.Robust zero watermarking algorithm based on integer wavelet transform[J].Microelectronics&Computer,2016,33(4):97-101.(in Chinese)
[3]Wu Wei-min,Ding Ran,Lin Zhi-yi,et al.Zero-watermarking algorithm based on cellular automata and singular value decomposition[J].Journal of Computer Applications,2014,34(6):1689-1693.(in Chinese)
[4]Qu Chang-bo,Wang Dong-feng.Robust zero watermarking algorithm based on bit plane theory and singular value decomposition[J].Journal of Computer Applications,2014,34(12):3462-3465.(in Chinese)
[5]Campisi P,Kundur D,Neri A.Robust digital watermarking in the ridgelet domain[J].IEEE Signal Processing Letters,2004,11(10):826-830.
[6]Gao Hu-ming,Jia Li-yuan,Liu Mei-ling.Digital image watermarking algorithm resisting attacks based on improved ridgelet transform[J].Application Research of Computers,2014,31(9):2750-2753.(in Chinese)
[7]Deng Cheng-zhi,Cao Han-qiang,Wang Sheng-qian.Blind digital watermarking scheme in ridgelet domain[J].Opto-Electronic Engineering,2007,34(5):131-135.(in Chinese)
[8]Do M N,Vetterli M.The finite ridgelet transform for image representation[J].IEEE Transactions on Image Processing,2003,12(1):16-28.
[9]Mangaiyarkarasi P,Arulselvi S.A new digital image watermarking based on finite ridgelet transform and extraction using ICA[C]∥Proc of 2011International Conference on Emerging Trends in Electrical and Computer Technology(ICETECT),2011:837-841.
[10]Wang Xiang-yang,Hu Feng-li.A robust color image retrieval based on significant bit-plane[J].Journal of Image and Graphics,2007,12(9):1647-1652.(in Chinese)
[11]Liu J J,Jiang H,Liang G Y.A watermarking algorithm for digital image based on logistic and SVD[C]∥Proc of International Conference on Intelligent Computing and Integrated Systems,2010:140-144.
[12]Chen Wei-qi,Li Qian.A DWT-SVD based double-zero-watermarking algorithm[J].Computer Engineering&Science,2014,36(10):1991-1996.(in Chinese)
[13]Qu Chang-bo,Yang Xiao-tao,Shi Shuang-yu.Robust watermarking algorithm based on hybrid chaotic system and multiwavelet[J].Computer Engineering and Applications,2014,50(24):91-95.(in Chinese)
[14]Zhang Yong-hong,Zhang Bo.Algorithm of image encrypting based on Logistic chaotic system[J].Application Research of Computers,2015,32(6):1770-1773.(in Chinese)
[15]Wang C C,Tai S C,Yu C S.Repeating image watermarking technique by the visual cryptography[J].IEICE Transactions on Fundamentals of Electronics Communications&Computer Sciences,2000,60(8):1621-1631.
[1]温泉,孙锬锋,王树勋.零水印的概念与应用[J].电子学报,2003,31(2):214-216.
[2]曾文权,熊祥光.基于整数小波变换的鲁棒零水印算法[J].微电子学与计算机,2016,33(4):97-101.
[3]吴伟民,丁冉,林志毅,等.基于细胞自动机与奇异值分解的零水印算法[J].计算机应用,2014,34(6):1689-1693.
[4]曲长波,王东峰.基于位平面理论和奇异值分解的鲁棒零水印算法[J].计算机应用,2014,34(12):3462-3465.
[6]高虎明,贾丽媛,刘美玲.基于改进脊波变换的抗攻击数字水印算法[J].计算机应用研究,2014,31(9):2750-2753.
[7]邓承志,曹汉强,汪胜前.脊波变换域盲数字水印方案[J].光电工程,2007,34(5):131-135.
[10]王向阳,胡峰丽.一种基于重要位平面的鲁棒图像检索算法[J].中国图象图形学报,2007,12(9):1647-1652.
[12]陈伟琦,李倩.基于DWT-SVD的图像双零水印算法[J].计算机工程与科学,2014,36(10):1991-1996.
[13]曲长波,杨晓陶,史双宇.基于复合混沌系统的多小波鲁棒水印算法[J].计算机工程与应用,2014,50(24):91-95.
[14]张永红,张博.基于Logistic混沌系统的图像加密算法研究[J].计算机应用研究,2015,32(6):1770-1773.