计算机应用 ›› 2011, Vol. 31 ›› Issue (10): 2665-2669.DOI: 10.3724/SP.J.1087.2011.02665

• 信息安全 • 上一篇    下一篇

结合顶点趋势检测的三维模型数字水印算法

王新宇,詹永照   

  1. 江苏大学 计算机科学与通信工程学院, 江苏 镇江 212013
  • 收稿日期:2011-04-20 修回日期:2011-06-04 发布日期:2011-10-11 出版日期:2011-10-01
  • 通讯作者: 王新宇
  • 作者简介:王新宇(1979-),男,江苏张家港人,讲师,博士研究生,主要研究方向:计算机图形学;詹永照(1962-),男,福建尤溪人,教授,博士生导师,主要研究方向:计算机图形学、模式识别、计算机支持协同工作。
  • 基金资助:

    国家自然科学基金资助项目(60273040);江苏省研究生科研创新计划项目(1221170020)

Watermarking scheme for 3D models in combination with tendency detection of vertices

WANG Xin-yu, ZHAN Yong-zhao   

  1. School of Computer Science and Communications Engineering, Jiangsu University, Zhenjiang Jiangsu 212013, China
  • Received:2011-04-20 Revised:2011-06-04 Online:2011-10-11 Published:2011-10-01
  • Contact: Xin-Yu WANG

摘要: 为了提高三维模型空域数字水印算法对抗各类攻击尤其是简化、剪切及其联合攻击的鲁棒性,提出一种新的结合顶点趋势检测的三维模型数字水印算法。利用三维模型顶点的球面坐标构建有序顶点集,选择体现三维模型整体形状信息的顶点范数嵌入水印;通过比较和统计待检测模型和原始模型顶点范数的变化关系,以变化趋势为依据实现水印检测,并分析顶点缺失率进一步弱化剪切对水印检测的影响。实验表明,该算法对各种常见的单一类型攻击如平移、旋转、均匀缩放、顶点重排序、噪声、简化、剪切、量化和细分以及联合攻击都具有较好的鲁棒性,对平滑攻击也有一定的抵抗能力,能够较好地应用于三维模型的版权保护。

关键词: 数字水印, 三维模型, 空域水印, 版权保护, 非盲水印, 顶点趋势

Abstract: To improve the robustness of spatial watermarking schemes for three-dimensional models against various attacks especially the simplification, cropping and their combined attacks, a new watermarking scheme combined with tendency detection of vertices for three-dimensional models was proposed. In the scheme, the spherical coordinates of vertices were used to construct the ordered vertex sets and the vertex norms representing the model shape approximately were selected to be modified to embed watermark. Watermark was extracted based on the tendency of vertices variations achieved by comparing and counting the variations between the vertex norms of detected model and original model. The negative effect on watermark detection caused by cropping was reduced further by introducing the analysis on the rate of deleted vertices. The experiments show the scheme is robust enough against the common single attacks including translation, rotation, uniform scaling, vertex re-ordering, noise, simplification, cropping, quantization and subdivision and combination attacks. The smoothing attack also can be resisted to some extent. Thereby, the watermarking scheme can be applied to the copyright protection of three-dimensional models.

Key words: digital watermarking, three-dimensional model, spatial watermarking, copyright protection, non-blind watermarking, tendency of vertices

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