摘要
针对传统数字水印算法无法检测三维网格模型是否遭受恶意攻击的问题,提出一种基于顶点范数的空域半脆弱盲水印算法.通过计算表征几何特征的顶点范数构造水印嵌入基元,在嵌入过程中先使用顶点范数对模型进行分区,再在每个分区内按位嵌入水印,检测时采用投票机制得出水印信息.实验结果表明,该算法对平移、旋转、均匀缩放、顶点重排序及其组合操作的无害操作具有鲁棒性,能较好地识别噪声和量化等恶意攻击,可容忍模型无害操作并有效检测出恶意攻击行为.
Aiming at the problem that traditional digital watermarking algorithm can not detect whether 3 D mesh model is under malicious attack,a spatial semi-fragile blind watermarking algorithm based on vertex norm is proposed.Watermark embedding primitive is constructed by calculating the vertex norm that represents the geometric features.During the embedding process,the model is partitioned by the vertex norm,and then the watermark is embedded bit by bit in each partition,and the watermark information is obtained by voting mechanism.The experimental results show that the proposed algorithm is robust to harmless operations such as translation,rotation,uniform scaling,vertex reordering and their combination.It can well identify malicious attacks such as noise and quantification,tolerate harmless model operations,and effectively detect malicious attacks.
作者
张国有
崔健
王安红
ZHANG Guoyou;CUI Jian;WANG Anhong(College of Computer Science and Technology,Taiyuan University of Science and Technology,Taiyuan 030024,China;School of Electronic Information Engineering,Taiyuan University of Science and Technology,Taiyuan 030024,China)
出处
《扬州大学学报(自然科学版)》
CAS
北大核心
2022年第1期48-53,73,共7页
Journal of Yangzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(62072325)。
关键词
顶点范数
三维网格模型
数字水印
盲水印
半脆弱水印
vertex norm
3D mesh model
digital watermarking
blind watermark
semi fragile watermarking