基于Kriging算法的手术导航三维形变技术  

3D morphing method based on Kriging algorithm for surgical navigation

作　　者：胡岩[1] 王田苗[1] 王君臣[1] 胡磊[1] 

机构地区：[1]北京航空航天大学机械工程及自动化学院,北京100191

出　　处：《北京航空航天大学学报》2010年第5期555-559,共5页Journal of Beijing University of Aeronautics and Astronautics

基　　金：国家杰出青年科学基金资助项目(60525314);国家科技支撑计划资助项目(2006BAI03A16);北京市科技计划资助项目(D020602500001093)

摘　　要：针对计算机辅助手术三维导航技术中无法利用术前CT重建模型进行病人个体化手术的问题,提出一种基于克里金(Kriging)算法的三维骨骼形变(bone morphing)技术.利用术中采集和医学图像模型的两片点云进行配准,在CT重建模型上选取4个合适的控制点,通过求解Kriging算法建立的方程组,获得CT重建模型上所有点相对于实际病例变形后的位置,实现医学图像模型向个体化的变形.最后,以人体股骨CT模型和塑料模型为对象进行了形变的精度分析和关节手术导航评估实验.结果表明:这种形变方法简单可靠,可以用于前交叉韧带(ACL,Anterior Cruciate Ligament)重建手术的导航评估.A set of preoperative CT reconstructed model can not be used in operating on individual patient in 3D surgical navigation systems.According to the problem above,a 3D bone morphing method based on Kriging algorithm was presented.Two point sets,one of which was acquired from physical space by the optical localizer and the other was from 3D model reconstructed by the marching cube method,were used to calculate the transformation matrix between the preoperative CT image space and the intraoperative marker space.Then 4 appropriate reference points were chosen to solve the equations based on Kriging algorithm,and the positions of points on CT model after deformation respect to the physical case were acquired.At last,precision analysis of morphing and evaluation experiment of knee joint navigation was carried out with CT and plastic model.The result shows that under this condition the final morphing accuracy is less than 1 mm,and this technology can be used in operation evaluation of the anterior cruciate ligament navigation reconstruction.

关 键 词：膝关节 手术导航 克里金 配准 骨骼形变 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]