Lattice cleaving: a multimaterial tetrahedral meshing algorithm with guarantees

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Publication Type pre-print
School or College School of Computing
Department Computing, School of
Creator Bronson, Jonathan Richard
Other Author Levine, Joshua A.; Whitaker, Ross
Title Lattice cleaving: a multimaterial tetrahedral meshing algorithm with guarantees
Date 2014-01-01
Description 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.
Type Text
Publisher Institute of Electrical and Electronics Engineers (IEEE)
Volume 20
Issue 2
First Page 223
Last Page 237
Language eng
Bibliographic Citation Bronson, J., Levine, J. A., & Whitaker, R. (2014). Lattice cleaving: a multimaterial tetrahedral meshing algorithm with guarantees. IEEE Transactions on Visualization and Computer Graphics, 20(2), 223-37.
Rights Management (c) 2014 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Format Medium application/pdf
Format Extent 2,032,487 bytes
Identifier uspace,18389
ARK ark:/87278/s68w6p83
Setname ir_uspace
Date Created 2014-02-24
Date Modified 2014-02-25
ID 711337
Reference URL https://collections.lib.utah.edu/ark:/87278/s68w6p83
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