基于微分流形的肝脏管道网格的生成方法研究  

Research on Mesh Generation Algorithm of Liver Pipe Based on Differential Manifold

作　　者：张超 陈国栋[1] ZHANG Chao;CHEN Guodong(College of Physics and Information Engineering,Fuzhou University,Fuzhou 350002,China)

机构地区：[1]福州大学物理与信息学院,福建福州350002

出　　处：《系统仿真技术》2020年第2期69-72,84,共5页System Simulation Technology

基　　金：福建省自然科学基金(2017J01107)。

摘　　要：在虚拟手术仿真中,自相交网格常常会出现于高度密集的肝脏管道中并导致模拟仿真产生误差。为解决自相交问题,研究了距离场等值面的生成,引入Delaunay四面体剖分以及微分流形中浸入的概念,提出一种四面体网格划分方法,通过切割、复制及连接相应片元构造输入网格的浸入来达到四面体网格的划分。实验结果表明,利用该方法生成的四面体网格具有较高的质量,并对自相交处的四面体网格进行有效的复制和分离。In virtual surgery simulation,self-intersecting grids often appear in highly dense liver channels and cause errors in simulations.In order to solve the self-intersection,we use the isosurfaces of distance fields,Delaunay tetrahedral division and the concept of immersion in differential manifolds.We propose a new tetrahedral meshing method by cutting,duplicating and connecting the corresponding fragment to construct immersion to achieve the division of the tetrahedral mesh.The results show that the tetrahedral meshes generated by this method have high quality,and the tetrahedral meshes at the self-intersection are effectively duplicated and separated.

关 键 词：虚拟手术 微分流形 有限元分析 自相交 

分 类 号：TP391.41[自动化与计算机技术—计算机应用技术]