Lattice cleaving : a multimaterial tetrahedral meshing algorithm with guarantees

We introduce a new algorithm for generating tetrahedral meshes that conform to physical boundaries in volumetric domains consisting of multiple materials. The proposed method allows for an arbitrary number of materials, produces high-quality tetrahedral meshes with upper and lower bounds on dihedral...

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Veröffentlicht in:IEEE transactions on visualization and computer graphics. - 1996. - 20(2014), 2 vom: 19. Feb., Seite 223-37
1. Verfasser: Bronson, Jonathan (VerfasserIn)
Weitere Verfasser: Levine, Joshua A, Whitaker, Ross
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2014
Zugriff auf das übergeordnete Werk:IEEE transactions on visualization and computer graphics
Schlagworte:Journal Article Research Support, N.I.H., Extramural Research Support, Non-U.S. Gov't
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520 |a We introduce a new algorithm for generating tetrahedral meshes that conform to physical boundaries in volumetric domains consisting of multiple materials. The proposed method allows for an arbitrary number of materials, produces high-quality tetrahedral meshes with upper and lower bounds on dihedral angles, and guarantees geometric fidelity. Moreover, the method is combinatoric so its implementation enables rapid mesh construction. These meshes are structured in a way that also allows grading, to reduce element counts in regions of homogeneity. Additionally, we provide proofs showing that both element quality and geometric fidelity are bounded using this approach 
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