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基于小波变换的3维网格水印
引用本文:谢守江,张鸿宾,刘波. 基于小波变换的3维网格水印[J]. 中国图象图形学报, 2006, 11(10): 1387-1394
作者姓名:谢守江  张鸿宾  刘波
作者单位:北京工业大学计算机学院,北京100022
基金项目:国家自然科学基金;国家高技术研究发展计划(863计划);高等学校博士学科点专项科研项目
摘    要:3维网格数据是不规则采样的数据集,传统的图像变换域水印算法不能直接应用到网格上.提出了一种小波变换域的鲁棒网格水印算法.该算法对半规则的多分辨率网格进行小波变换,得到一个基网格和一系列小波系数.在对小波系数的统计特性进行实验分析的基础上,选择在低频子带的小波系数中嵌入水印,并对小波系数的切向和法向分量设计了不同的嵌入强度,以减小几何失真.实验结果表明,该水印算法满足不可见性,并具有较强的鲁棒性.

关 键 词:网格水印  多分辨率表示  小波变换  网格细分
文章编号:1006-8961(2006)10-1387-08
收稿时间:2004-12-02
修稿时间:2005-09-12

Robust Mesh Watermarking Using Wavelet Transform
XIE Shou-jiang,ZHANG Hong-bin,LIU Bo,XIE Shou-jiang,ZHANG Hong-bin,LIU Bo and XIE Shou-jiang,ZHANG Hong-bin,LIU Bo. Robust Mesh Watermarking Using Wavelet Transform[J]. Journal of Image and Graphics, 2006, 11(10): 1387-1394
Authors:XIE Shou-jiang  ZHANG Hong-bin  LIU Bo  XIE Shou-jiang  ZHANG Hong-bin  LIU Bo  XIE Shou-jiang  ZHANG Hong-bin  LIU Bo
Abstract:Traditional watermarking methods in the transformed domain for images can't be applied on meshes directly because meshes are generally irregular sampled data sets.This paper proposes a robust mesh watermarking algorithm using wavelet transform for semi-regular meshes obtained by remeshing.The original mesh with multiresolution representation is decomposed into a base mesh and a set of wavelet coefficient vectors by applying the wavelet transform.Based on the statistical analysis of wavelet coefficients,the watermarks are embedded by perturbing the wavelet coefficient vectors in low resolution subband,and the embedding strengths for different components of the wavelet coefficient vectors are designed differently in order to decrease the geometric distortion.Experimental results show that this algorithm satisfies imperceptibility and is robust to various attacks.
Keywords:mesh watermarking   multiresolution representation   wavelet transformation   mesh subdivision
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