基于雅克比-傅里叶矩的数字图像水印方法

Image watermarking based on Jacobi-Fourier moment

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。

This paper presents a new digital watermarking scheme using the Jacobi-Fourier moment（JFM）, a kind of con-tinuous 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.