Feature-Sensitive Tetrahedral Mesh Generation with Guaranteed Quality.

Computer Aided Design
Jun Wang, Zeyun Yu

Abstract

Tetrahedral meshes are being extensively used in finite element methods (FEM). This paper proposes an algorithm to generate feature-sensitive and high-quality tetrahedral meshes from an arbitrary surface mesh model. A top-down octree subdivision is conducted on the surface mesh and a set of tetrahedra are constructed using adaptive body-centered cubic (BCC) lattices. Special treatments are given to the tetrahedra near the surface such that the quality of the resulting tetrahedral mesh is provably guaranteed: the smallest dihedral angle is always greater than 5.71°. The meshes generated by our method are not only adaptive from the interior to the boundary, but also feature-sensitive on the surface with denser elements in high-curvature regions where geometric feature most likely reside. A variety of experimental results are presented to demonstrate the effectiveness and robustness of this algorithm.

References

Jun 1, 2005·Journal of Biomechanics·Steven K Boyd, Ralph Müller
Feb 1, 2006·Computer Methods in Applied Mechanics and Engineering·Yongjie Zhang, Chandrajit Bajaj
Nov 15, 2005·Computer Methods in Applied Mechanics and Engineering·Yongjie ZhangBong-Soo Sohn

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Citations

Jun 14, 2013·International Journal of Biomedical Imaging·E PavarinoC R Valêncio
Dec 21, 2013·IEEE Transactions on Visualization and Computer Graphics·Jonathan BronsonRoss Whitaker
Nov 21, 2013·Computer Methods and Programs in Biomedicine·Zeyun YuMasahiko Hoshijima
Feb 24, 2015·Medical Image Analysis·Gang WangUNKNOWN Alzheimer’s Disease Neuroimaging Initiative
Jan 5, 2018·Journal of the Royal Society, Interface·C E LavecchiaD E T Shepherd
May 10, 2020·Journal of Korean Medical Science·Woochan WiByung Seok Shin

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