为提升数字图像水印嵌入与提取效果，研究改进压缩感知的舰船数字图像水印算法。通过离散小波变换稀疏分解舰船数字图像，获取高频与低频系数矩阵。利用Kent混沌观测矩阵改进压缩感知理论，依据改进压缩感知理论获取高低频系数矩阵观测值。在高频系数矩阵观测值内嵌入水印，并记录嵌入位置，建立索引矩阵。通过压缩感知重构的改进正交匹配追踪算法，重构嵌入水印后的高低频系数矩阵观测值，获取高低频系数矩阵。融合高低频系数矩阵，并离散小波反变换处理融合后的矩阵，获取嵌入水印的舰船数字图像。利用索引矩阵与高频系数矩阵的观测矩阵，提取水印。实验证明：该算法可有效嵌入与提取舰船数字图像水印；在不同攻击类型时，该算法水印嵌入的透明性均较优，水印提取的精度均较高，具备较优的抗旋转与抗剪切攻击能力。
In order to improve the embedding and extraction effect of digital image watermarking, an improved ship digital image watermarking algorithm based on compressed sensing is studied. The high frequency and low frequency coefficient matrices are obtained by sparse decomposition of ship digital images by discrete wavelet transform. Using Kent chaotic observation matrix to improve compressed sensing theory. The observation values of high and low frequency coefficient matrices are obtained according to the improved compressed sensing theory. The watermark is embedded in the observed value of the high frequency coefficient matrix, and the embedding position is recorded to establish the index matrix. Through the improved orthogonal matching pursuit algorithm of compressed sensing reconstruction, the observed values of high and low frequency coefficient matrices embedded in the watermark were reconstructed, and the high and low frequency coefficient matrices were obtained. The high and low frequency coefficient matrices are fused, and the fused matrix is processed by inverse discrete wavelet transform, and the watermark embedded ship digital image is obtained. Using index matrix and observation matrix of high frequency coefficient matrix, the watermark is extracted. Experimental results show that the algorithm can effectively embed and extract ship digital image watermarks. Under different attack types, the transparency of watermark embedding is better, the precision of watermark extraction is higher, and the algorithm has better anti-rotation and anti-shear attack ability.
2022,44(19): 166-169 收稿日期：2022-04-18
DOI：10.3404/j.issn.1672-7649.2022.19.034
分类号：TP391
作者简介：徐沛(1977-)，男，高级工程师，研究方向为信息技术及数字计量
参考文献：
[1] 李伟岸, 熊祥光, 夏道勋. 基于Schur分解和混沌置乱的彩色图像鲁棒水印算法[J]. 计算机工程与科学, 2021, 43(7): 1243–1249
[2] 牛盼盼, 王向阳, 杨思宇, 等. 基于二元Weibull分布的非下采样Shearlet域图像水印算法[J]. 计算机研究与发展, 2019, 56(7): 1454–1469
[3] 齐向明, 徐嫚, 李玥, 等. 一种尺度空间特征区域的强鲁棒性水印算法[J]. 计算机应用研究, 2019, 36(6): 1793–1796+1802
[4] 沈艳冰, 杨阳, 李竹. 一种适用于QR码的彩色图像数字水印算法[J]. 智能系统学报, 2020, 15(5): 949–955
[5] 李淑芝, 龙香玉, 邓小鸿, 等. 结合纹理复杂度和JND模型的图像水印算法[J]. 计算机应用研究, 2019, 36(2): 528–531+542
[6] 王楠, 李智, 程欣宇, 等. 基于均值比例与压缩感知的视频双水印算法[J]. 计算机工程, 2019, 45(3): 250–255+261
[7] 李莹莹, 张毅锋, 程旭, 等. 基于DWT最优多子图和SIFT几何校正的鲁棒水印算法[J]. 计算机应用研究, 2019, 36(6): 1819–1823+1827
[8] 刘琰, 周理. 基于小波变换域的数字图像嵌入和提取方法[J]. 沈阳工业大学学报, 2019, 41(1): 68–72
