自然科学版
陕西师范大学学报(自然科学版)
数学与计算机科学
基于奇异值分解的小波域数字水印方法
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曾晴1, 马苗1*, 孙莉2, 周涛3
(1 陕西师范大学 计算机科学学院, 陕西 西安 710062;2 空军工程大学 信息与导航学院, 陕西 西安 710077;3 宁夏医科大学 理学院, 宁夏 银川 750004)
曾晴,女,硕士研究生,主要研究方向为图像处理与数字水印. E-mail:qingzking1001@163.com.
摘要:
为提高不可见水印的鲁棒性,提出一种基于奇异值分解的小波域数字水印方法.该方法首先将原始载体图像进行2级小波变换,对第2级对角细节子图进行奇异值分解,得到水印嵌入位置;然后对二值图像水印进行Arnold变换和一维化处理,获得待嵌入的水印比特流,并根据该比特流和奇异值矩阵中各元素的不同组合嵌入水印;最后经小波子图重构和小波逆变换得到含水印的载体图像.实验结果表明:在噪声干扰、滤波、压缩、旋转、缩放、剪切等多种攻击下,该方法明显优于现有的一些奇异值水印方法.
关键词:
数字水印; 奇异值分解; 离散小波变换; 鲁棒性
收稿日期:
2013-05-06
中图分类号:
TP391.41
文献标识码:
A
文章编号:
1672-4291(2014)01-0019-05
基金项目:
国家自然科学基金资助项目(61202153); 陕西省自然科学基金资助项目(2012JQ8036); 陕西师范大学研究生培养创新基金项目(2013CXS046).
Doi:
A SVD-based digital watermarking method in wavelet domain
ZENG Qing1, MA Miao1*, SUN Li2, ZHOU Tao3
(1 College of Computer Science,Shaanxi Normal University,Xi′an 710062,Shaanxi,China;2 Information and Navigation Institute, Air Force Engineering University, Xi′an 710077, Shaanxi, China; 3 School of Science, Ningxia Medical University, Yinchuan 750004, Ningxia, China)
Abstract:
To improve the robustness of invisible watermarking, this paper proposes a watermarking method based on singular value decomposition (SVD) and discrete wavelet transform. In this method, after the original cover image is decomposed by a 2-Level wavelet transform, the SVD technique is employed to the matrix composed by the second detail coefficients to acquire the embedded positions. On the other hand, the original binary image watermark is scrambled with Arnold transform and then is changed into a one-dimensional bit stream. According to the different combinations of the bit stream and the elements in the singular value matrix, the bit stream of watermark is embedded into the cover image. Experimental results show that the proposed method is superior to some other SVD-based methods when the cover image is suffered from any an attack, such as noise-disturbing, filtering, compressing, rotating, rescaling, cropping etc.
KeyWords:
digital watermarking; singular value decomposition; discrete wavelet transform; robustness