一种基于DWT和SVD的三维数字水印算法

3D Digital Watermarking Algorithm Based on DWT and SVD

提出了一种新颖的基于DWT和SVD的三维模型数字水印算法。首先,该算法采用全局球面参数化和分块均匀采样的方法,将三维网格模型变换成二维的信号矩阵。然后,利用DWT和SVD进行水印嵌入,水印被嵌入在来自于HH,HL,LH3个子带的特征值矩阵中。因为水印在三维网格模型中处处存在,所以很难被移除。而且由于水印被嵌入在高频子带中,因此该算法有很好的不可见性。实验结果表明该方法具有很强的鲁棒性,能够有效的抵抗翻转,剪切,多分辨率滤波以及随机噪声等多种攻击。

A novel digital watermarking algorithm for 3D mesh based on DWT （Discrete Wavelet Transform） and SVD （Singular Value Decomposition） is proposed in this paper. The algorithm adopts global spherical parameterization and block regular sampling to transform 3D mesh model into 2D signal matrixes. Then DWT and SVD are employed to embed watermark and watermarking signal sequence is embedded into the eigenvalue matrixes from HH, HL, LH sub-bands. Since the watermark is spread all over the 3D mesh model, it is very difficult to be removed. Furthermore, because watermark is embedded in the high-frequency sub-bands, the proposed algorithm has good imperceptibility. Experimental results show that our method is very robust against the attacks of rotation, cropping, re-meshing, and random noise.