A Novel Biomedical Meshing Algorithm and Evaluation based on Revised Delaunay and Space Disassembling
Xiao Ping Yu, Lixu Gu, Sizhe Lv, Jie Liu, Pengfei Huang, Xianming Kong
Abstract
Xiao Ping Yu, Lixu Gu, Sizhe Lv, Jie Liu, Pengfei Huang, Xianming Kong
Abstract
The tetrahedral mesh generation part in Finite Element Method (FEM) of soft tissue simulation is difficult to be realized by traditional mesh algorithms because of the requirements of boundary preservation and quality of all tetrahedra. Aiming to meet the real-time requirement of FEM, we propose a revised Delaunay algorithm with many improved methods, including background grid, random point disarrangement, radial method and visibility check. In this paper, two tetrahedral mesh generation algorithms including Space-Disassembling and the revised Delaunay algorithm, are presented based on different mesh requirements. And a comparison of Space-Disassembling Mesh Algorithm, traditional Delaunay algorithm and the revised Delaunay algorithm is processed based on some pivotal criteria.
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The tetrahedral mesh generation part in Finite Element Method (FEM) of soft tissue simulation is difficult to be realized by traditional mesh algorithms because of the requirements of boundary preservation and quality of all tetrahedra. Aiming to meet the real-time requirement of FEM, we propose a revised Delaunay algorithm with many improved methods, including background grid, random point disarrangement, radial method and visibility check. In this paper, two tetrahedral mesh generation algorithms including Space-Disassembling and the revised Delaunay algorithm, are presented based on different mesh requirements. And a comparison of Space-Disassembling Mesh Algorithm, traditional Delaunay algorithm and the revised Delaunay algorithm is processed based on some pivotal criteria.
Key concepts: Delaunay triangulation, Ruppert's algorithm, Chew's second algorithm, Algorithm, Mesh generation, Bowyer–Watson algorithm, Computer science, Tetrahedron