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基于四元数模型和奇异值分解的图像水印算法
引用本文:陈善学,冯银波.基于四元数模型和奇异值分解的图像水印算法[J].计算机应用,2013,33(6):1626-1629.
作者姓名:陈善学  冯银波
作者单位:重庆邮电大学 移动通信安全研究所,重庆 400065
基金项目:国家自然科学基金资助项目(51175135);国家科技重大专项(2009ZX03001-004-02);重庆市自然科学基金资助项目(CSTC2010BB2407,cstcjjA40002);重庆市教委科学研究项目(KJ110503)
摘    要:将四元数离散余弦变换(QDCT)和奇异值分解(SVD)相结合,提出了一种在彩色图像中嵌入水印的新方法。首先,借助Arnold置乱对二值水印进行预处理,应用四元数理论将彩色图像进行分块QDCT和SVD;然后,利用Logistic映射随机抽取一批图像块实现水印的嵌入。实验表明,该方法具有较强的抗JPEG压缩能力,对各种噪声和滤波等具有较好的鲁棒性。

关 键 词:四元数  四元数离散余弦变换  Arnold置乱  Logistic映射  奇异值分解  
收稿时间:2012-12-17
修稿时间:2013-01-16

Image watermarking algorithm based on quaternion and singular value decomposition
CHEN Shanxue FENG Yinbo.Image watermarking algorithm based on quaternion and singular value decomposition[J].journal of Computer Applications,2013,33(6):1626-1629.
Authors:CHEN Shanxue FENG Yinbo
Affiliation:Mobile Communications Security Research Laboratory, Chongqing University of Posts and Telecommunications, Chongqing 400065, China
Abstract:A new method for embedding watermark in color image which combined Quaternion Discrete Cosine Transform (QDCT) and Singular Value Decomposition (SVD) was proposed. First of all, binary watermark was preprocessed with the help of the Arnold scrambling application and the color image was made block QDCT and SVD by using quaternion theory. Then, a number of image blocks were selected at random by Logistic mapping to realize the embedding of watermark. The experimental results show that this method has strong anti-JPEG compression as well as better robustness to various kinds of noise and filtering.
Keywords:quaternion  Quaternion Discrete Cosine Transform (QDCT)  Arnold scrambling  Logistic mapping  Singular Value Decomposition (SVD)  
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