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Lattice Cleaving: Conforming Tetrahedral Meshes of Multimaterial Domains with Bounded Quality

Institution:
Scientific Computing and Imaging Institute, Salt Lake City, UT, USA.
Publication Date:
Jan-2013
Journal:
Proc Int Meshing Roundtable
Volume Number:
2013
Pages:
191-209
Citation:
Proc Int Meshing Roundtable. 2013 Jan;2013:191-209.
PubMed ID:
25309969
PMCID:
PMC4190882
Keywords:
adaptive meshing, biomedical, bounded quality, conformal meshing, mesh quality, multi-label, multimaterial, tetrahedral meshing, watertight
Appears in Collections:
NA-MIC
Sponsors:
P41 RR012553/RR/NCRR NIH HHS
U54 EB005149/EB/NIBIB NIH HHS
Generated Citation:
Bronson J.R., Levine J.A., Whitaker R.T. Lattice Cleaving: Conforming Tetrahedral Meshes of Multimaterial Domains with Bounded Quality. Proc Int Meshing Roundtable. 2013 Jan;2013:191-209. PMID: 25309969. PMCID: PMC4190882.
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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, in order to reduce element counts in regions of homogeneity.

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