基于矢量长度的三维网格模型公有水印算法

为解决目前三维网格模型空域公有数字水印算法抵抗噪声攻击的鲁棒性较弱的问题,提出了一种新的基于矢量长度的三维网格模型空域公有数字水印算法.该算法通过修改从模型中心到顶点这一矢量的长度来嵌入水印信息,同时在水印嵌入和检测过程中,结合顶点邻域属性实现了水印的盲检测,并将一位水印信息反复嵌入使之分布到整个三维网格模型,从而消除噪声对水印产生的影响.试验结果表明,该算法的时间复杂度仅与三维网格模型顶点数成线性关系,执行速度快,鲁棒性较强,能够抵抗平移、旋转、比例变换等常见的几何变换及其组合变换,并对噪声攻击具有很强的抵抗能力,适用于实时版权验证.

Blind watermarking scheme for 3D mesh models based on length of vector

To solve the problem that current spatial blind watermarking schemes for 3D mesh models are not robust enough to resist noise attack,a novel spatial blind watermarking scheme based on the length of vector is proposed.The scheme embeds watermark into 3D model by modifying the distances from vertices to the model center and realizes the blind detection combing with vertex neighborhood.The robustness against noise attack is achieved by distributing a watermark bit over the entire model.Experiments show that this watermarking scheme is simple,rapid,and robust against attacks such as translation,rotation,uniform scaling and addition of noise.The watermarking scheme is suitable for real-time copyright authentication of 3D models.