基于Delaunay准则和空间分解的四面体网格生成新方法

Xiao Yu, Weitao Chen, Pengfei Huang, Sizhe Lv, Lixu Gu
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引用次数: 5

摘要

四面体网格生成算法是许多软组织仿真方法的前提,由于仿真的实时性要求,对四面体网格生成算法的要求变得非常严格。为了提高仿真计算速度,我们提出了一种改进的Delaunay算法,该算法在四面体质量、边界保持和时间复杂度之间取得了很好的平衡,并对许多方法进行了改进。本文还提出了另一种网格分解算法——空间分解算法,并基于仿真准则对空间分解算法、传统的Delaunay算法和改进的Delaunay算法进行了比较。
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New Tetrahedral Mesh Generation Method based on Delaunay Criteria and Space Disassembling
The requirement of tetrahedral mesh generation algorithm, which is a prerequisite of many soft tissue simulation methods, becomes very strict because of the real-time requirement of the simulation. Aiming to speed up the computation in the simulation, we propose a revised Delaunay algorithm which makes a good balance of quality of tetrahedra, boundary preservation and time complexity, with many improved methods. Another mesh algorithm named space-disassembling is also presented in this paper, and a comparison of space-disassembling, traditional Delaunay algorithm and the revised Delaunay algorithm is processed based on the simulation criteria.
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