CAJ | 학술논문

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。
제출료일충신적기우아극비-부리협구（JFM）적수자도상수인산법。아극비-부리협구시일충정의재겁좌표하，폭도구유선전불변성적도상특정제취방법。대JFM적성질진행료연구，병장이치수인서렬통과양화적방법감입도JFM구적폭도중。수인신호가이직접종수공격도상적JFM구폭도중진행제취。실험결과표명제출적산법능유효저항궤하변환화상규적신호처리변환，여선전、축방、번전、JPEG압축、중치려파등。
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.