Image watermarking based on Jacobi-Fourier moment

Computer Engineering and Applications ›› 2014, Vol. 50 ›› Issue (4): 94-97.

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Image watermarking based on Jacobi-Fourier moment

SUN Yunxiao1, WANG Xuewei1, WANG Xiaoying1, LI Shushang1, LI Leida1，2

1.School of Information and Electrical Engineering, China University of Mining and Technology（CUMT）, Xuzhou, Jiangsu 221116, China
2.Shanghai Key Laboratory of Integrate Administration Technologies for Information Security, Shanghai 200240, China

Online:2014-02-15 Published:2014-02-14

基于雅克比-傅里叶矩的数字图像水印方法

孙云霄1，王雪维1，王晓迎1，李淑尚1，李雷达1，2

1.中国矿业大学信息与电气工程学院，江苏徐州 221116
2.上海市信息安全综合管理技术研究重点实验室，上海 200240

Abstract

Abstract: This paper presents a new digital watermarking scheme using the Jacobi-Fourier moment（JFM）, a kind of continuous orthogonal moment. JFMs are defined on the polar coordinates, and the magnitudes of JFMs are invariant to image rotation. In this paper, the properties of JFMs are investigated, and a binary watermark sequence is embedded into the invariant magnitudes of some selected JFMs by quantization. Besides, the watermark can be extracted from the magnitudes of JFMs without the original image. Simulation results show that the proposed method can resist both geometric attacks and traditional signal processing attacks, such as rotation, scaling, flipping, JPEG compression, median filtering, etc.

Key words: digital watermark, geometric attack, invariant moment

摘要： 提出了一种新的基于雅克比-傅里叶矩（JFM）的数字图像水印算法。雅克比-傅里叶矩是一种定义在极坐标下，幅度具有旋转不变性的图像特征提取方法。对JFM的性质进行了研究，并将二值水印序列通过量化的方法嵌入到JFM矩的幅度中。水印信号可以直接从受攻击图像的JFM矩幅度中进行提取。实验结果表明提出的算法能有效抵抗几何变换和常规的信号处理变换，如旋转、缩放、翻转、JPEG压缩、中值滤波等。

关键词: 数字水印, 几何变换, 不变矩

SUN Yunxiao1, WANG Xuewei1, WANG Xiaoying1, LI Shushang1, LI Leida1，2. Image watermarking based on Jacobi-Fourier moment[J]. Computer Engineering and Applications, 2014, 50(4): 94-97.

孙云霄1，王雪维1，王晓迎1，李淑尚1，李雷达1，2. 基于雅克比-傅里叶矩的数字图像水印方法[J]. 计算机工程与应用, 2014, 50(4): 94-97.

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Image watermarking based on Jacobi-Fourier moment

基于雅克比-傅里叶矩的数字图像水印方法

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