Doncel Victor Rodriguez, Nikolaidis Nikos, Pitas Ioannis
Department of Informatics, Aristotle University of Thessaloniki, Thessaloniki, Greece.
IEEE Trans Vis Comput Graph. 2007 Sep-Oct;13(5):851-63. doi: 10.1109/TVCG.2007.1050.
Abstract-Polygonal lines constitute a key graphical primitive in 2D vector graphics data. Thus, the ability to apply a digital watermark to such an entity would enable the watermarking of cartoons, drawings, and Geographical Information Systems (GIS) data in vector graphics format. This paper builds on and extends an existing algorithm that achieves polygonal line watermarking by modifying the Fourier descriptors magnitude in an imperceptible way. Watermarks embedded by this technique can be detected in rotated, translated, scaled, or reflected polygonal lines. The detection of such watermarks had been previously carried out through a correlator detector. In this paper, analysis of the statistics of the Fourier descriptors is exploited to devise an optimal blind detector. Furthermore, the problem of watermarking multiple lines, as well as other implementation issues are being addressed. Experimental results verify the imperceptibility and robustness of the proposed method.
摘要——折线是二维矢量图形数据中的关键图形基元。因此,能够将数字水印应用于这样一个实体将实现对矢量图形格式的卡通、绘图和地理信息系统(GIS)数据进行水印处理。本文在一种现有算法的基础上进行构建和扩展,该算法通过以不可察觉的方式修改傅里叶描述符的幅度来实现折线水印。通过这种技术嵌入的水印可以在旋转、平移、缩放或反射的折线中被检测到。此前这种水印的检测是通过相关器检测器来进行的。在本文中,利用对傅里叶描述符统计特性的分析来设计一种最优盲检测器。此外,还解决了多条折线的水印处理问题以及其他实现问题。实验结果验证了所提方法的不可察觉性和鲁棒性。