一种三角形网格模型数字水印算法

随着3D模型技术的发展,3D模型的版权保护问题越来越被重视.提出了一种基于三角域上V系统的3D网格模型数字水印算法.该算法首先将模型上的顶点到模型中心的距离进行三角域上的一次V变换,然后对变换后的系数进行量化来嵌入水印.由于该距离是一种全局几何特征,且算法将足够多的比特水印信息分布到模型各处,从而使得该水印方案具有一定的鲁棒性.实验结果表明该算法能够抵抗一般的平移、旋转等类型的攻击和随机噪声攻击.

A Watermarking Algorithm of 3D Mesh Models

Copyright protection becomes a more and more important problem with the development of the creation and distribution of 3D model.Digital watermarking technique as a good way would solve this problem.In this paper,the authors propose a new digital watermarking method for 3D mesh model in spectral domain.First,they calculate the distance of each vertex in the mesh to the center of the mesh.Second,they consider the distances as a digital signal in spatial domain and transform it to a signal in transform domain using 1-degree V-system transform over triangulated domains.Third,they embed a watermark into the signal in frequency domain.And they transform it back to a digital signal in spatial domain.The new spatial domain signal represents the new values of the distances.Then,they modify the coordinates of the vertices making their distances to the center of the mesh satisfy these new values.Watermarks embedded by using this method are resistant to common mesh attacks such as random noise added to the vertex coordinates and affine transformation.