Image watermarking algorithm based on quaternion and singular value decomposition

doi:10.3724/SP.J.1087.2013.01626

Journal of Computer Applications ›› 2013, Vol. 33 ›› Issue (06): 1626-1629.DOI: 10.3724/SP.J.1087.2013.01626

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Image watermarking algorithm based on quaternion and singular value decomposition

CHEN Shanxue,FENG Yinbo

Mobile Communications Security Research Laboratory, Chongqing University of Posts and Telecommunications, Chongqing 400065, China

Received:2012-12-17 Revised:2013-01-16 Online:2013-06-05 Published:2013-06-01
Contact: FENG Yinbo
Supported by:
;The Research Project of Chongqing Education Commission

基于四元数模型和奇异值分解的图像水印算法

陈善学,冯银波

重庆邮电大学移动通信安全研究所,重庆 400065

通讯作者: 冯银波
作者简介:陈善学（1966-），男，安徽合肥人，教授，博士，主要研究方向:信源编码、数字信号处理、小波分析；冯银波（1987-），男，重庆人，硕士研究生，主要研究方向：数字图像处理、数字水印。
基金资助:
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）

Abstract

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.

Key words: quaternion, Quaternion Discrete Cosine Transform (QDCT), Arnold scrambling, Logistic mapping, Singular Value Decomposition (SVD)

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

CLC Number:

TP391

CHEN Shanxue FENG Yinbo. Image watermarking algorithm based on quaternion and singular value decomposition[J]. Journal of Computer Applications, 2013, 33(06): 1626-1629.

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(06): 1626-1629.

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Image watermarking algorithm based on quaternion and singular value decomposition

基于四元数模型和奇异值分解的图像水印算法

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