基于3D曲面模型的数字水印算法

Algorithm for 3D Surface Model Digital Watermarking

本文给出了一种NURBS曲面模型的三维数字水印算法。该算法不直接将水印信息嵌入到NURBS曲面的参数中,而是对原始NURBS曲面模型进行修改,通过映射成虚拟2D图像,利用已有的DCT域图像水印嵌入算法将信息嵌入到2D图像中,再对2D图像进行提取产生新的NURBS曲面水印模型。该算法对于控制顶点、节点向量的改变以及模型表面的近似等操作具有鲁棒性。

In this paper, we have proposed algorithm for watermarking NURBS. The algorithms do not directly embed data into the parameters of NURBS, but into the 2D virtual images extracted from the sampled points of 3D model. As a result, the watermarking algorithm can use any of existing 2D watermarking techniques when embedding data into the virtual 2D images. From the experiment, it is found that the algorithm is robust against the operations to knots and control points.