基于FFT的三维网格强壮水印方法  

A FFT Based Robust Mesh Watermarking Approach

作　　者：王彦伟[1] 黄正东[1] 

机构地区：[1]华中科技大学国家CAD支撑软件工程技术研究中心,武汉430074

出　　处：《信号处理》2009年第6期934-941,共8页Journal of Signal Processing

基　　金：国家自然科学基金:60573178;"863"基金:2007AA04Z136资助

摘　　要：针对三维网格模型以傅立叶变换为基础建立了一种强壮水印方案。在选定网格顶点顺序后,将网格坐标转换为三个一维离散信号;通过快速傅立叶变换(Fast Fourier Transform,FFT)将信号转换到频域而后在频谱低频嵌入水印信息。由于采用FFT,因而本文水印嵌入方法简单而高效。同时给出了网格对齐和重采样算法,以从经受旋转变换和拓扑发生变化的网格中检测水印;从理论上分析了方法的鲁棒性;并通过实验对方法进行了分析和评估,验证了方法的透明性和鲁棒性。In this paper, we present a Fourier-Transform based robust watermarking approach which can be used for watermark embedding and extraction of 3D polygon mesh. After vertex order selection,the 3D vertex coordinates are transformed into three 1D dis- crete signals; And these 1 D signals are transformed into frequency domain with FFY. Watermark signals are embedded by modulating the amplitude of low frequency. Our watermark embedding approach is simple and efficient because of the adoption of FFT. In order to extract watermark from meshes attacked by affine transformation or topological change, the mesh alignment and resampling algorithms are also presented. Robustness is analyzed theoretically. Experiments are given for analysis and estimation, and the imperceptibility and robustness of our approach are testified too.

关 键 词：网格水印 快速傅立叶变换 攻击 网格对齐 网格重采样 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]