基于几何特征的鲁棒三维网格数字水印算法

Geometry property based robust watermarking scheme for three dimension meshes

文中算法首先将三维网格模型进行仿射变换,以获得模型的旋转不变性、缩放不变性;然后,将空间坐标系原点到模型顶点的距离通过一维DCT变化到频域,在频域信号上加入水印,使得嵌入的水印具有不可见性。实验结果表明:该算法不仅对仿射攻击具有较强的鲁棒性,而且对网格简化、加噪声和剪切攻击以及它们的联合攻击具有较好的鲁棒性。

This article proposes a robust watermarking scheme for three-dimensional triangle meshes.First,the 3D mesh model is affine transformed into a new 3D model ,which is robustness to translation,rotation and scaling.Second,the distance of each vertex in the mesh to the origin of the mesh is calculated,and the real number sequence of distance is transformed to a signal in frequency domain using one-dimensional discrete cosine transform（DCT）.A watermark is embed into the signal in frequency do main,and the embedded watermark is imperceptible.Experimental results show the proposed method is not only robust to affine attack,but also robust against common mesh attacks such as mesh simplification,mesh cropping,random noise added and combined attacks.