基于光线投射采样和四元数正交矩的高效三维医学影像鲁棒零水印算法  

Efficient robust zero-watermarking algorithm for 3D medical images based on ray-casting sampling and quaternion orthogonal moment

作　　者：高健 李智[1] 樊缤 姜传贤 GAO Jian;LI Zhi;FAN Bin;JIANG Chuanxian(College of Computer Science and Technology,Guizhou University,Guiyang Guizhou 550025,China;School of Information Science and Technology,Qiongtai Normal University,Haikou Hainan 571127,China)

机构地区：[1]贵州大学计算机科学与技术学院,贵阳550025 [2]琼台师范学院信息科学技术学院,海口571127

出　　处：《计算机应用》2023年第4期1191-1197,共7页journal of Computer Applications

基　　金：国家自然科学基金资助项目(62062023);贵州省科技计划项目(ZK[2021]⁃YB314);海南省自然科学基金资助项目(619MS073)。

摘　　要：针对三维医学影像的版权保护问题,以及随着待保护图像数量增加而导致的水印存储容量同步增加的问题,提出了一种基于光线投射采样和极复指数矩的三维医学影像鲁棒性零水印算法。首先,提出了一种基于光线投射的采样算法,对多张二维医学图像序列构成的三维医学影像进行特征采样并在二维图像空间中进行描述;其次,提出了一种针对三维医学影像的鲁棒性零水印算法,所提算法通过光线投射采样获取三维医学影像的冠状面、矢状面和横切面的3个二维特征图像,将3个二维特征图像进行极复指数变换获得四元数正交矩;最后,使用四元数正交矩和Logistic混沌加密构建零水印信息。仿真实验结果表明,在各种常见的图像处理攻击和几何攻击下所提算法能够保持零水印提取的比特正确率在0.920 0以上,水印存储容量随着三维医学影像的数据增多而提升,与其他优秀的二维医学图像零水印算法相比,所提算法的存储容量至少提升了93.75%。Aiming at the copyright protection problem of 3D medical images and the simultaneous expansion problem of watermark storage capacity caused by the increase of the number of images to be protected,a robust zero-watermarking algorithm based on ray-casting sampling and polar complex exponential moment was proposed.Firstly,a sampling algorithm based on ray-casting was proposed to sample the features of 3D medical images composed of multiple sequences of 2D medical images and describe these features in 2D image space.Secondly,a robust zero-watermarking algorithm for 3D medical images was proposed.In the algorithm,three 2D feature images of coronal,sagittal planes and cross section of the 3D medical image were obtained by ray-casting sampling,and the three 2D feature images were transformed by polar complex exponential to obtain the quaternion orthogonal moment.Finally,the zero-watermarking information was constructed by using the quadratic orthogonal moment and Logistic chaotic encryption.Simulation results show that the proposed algorithm can maintain the bit correctness rate of zero-watermarking extraction above 0.9200 under various common image processing attacks and geometric attacks;the watermark storage capacity of the proposed algorithm can be improved with the increase of the volume of 3D medical image data,and the storage capacity of the proposed algorithm has been improved by 93.75%at least compared to the other 2D medical image zero-watermarking algorithms for comparison.

关 键 词：三维医学影像 光线投射采样 四元数正交矩 Logistic混沌加密 鲁棒性 

分 类 号：TP309.7[自动化与计算机技术—计算机系统结构]