Field-Aligned and Lattice-Guided Tetrahedral Meshing

dc.contributor.authorNi, Saifeng
dc.contributor.authorZhong, Z.
dc.contributor.authorHuang, J.
dc.contributor.authorWang, W.
dc.contributor.authorGuo, Xiaohu
dc.contributor.utdAuthorNi, Saifeng
dc.contributor.utdAuthorGuo, Xiaohu
dc.date.accessioned2019-08-30T16:38:04Z
dc.date.available2019-08-30T16:38:04Z
dc.date.created2018-08-08
dc.descriptionFull text access from Treasures at UT Dallas is restricted to current UTD affiliates (use the provided Link to Article).
dc.description.abstractWe present a particle-based approach to generate field-aligned tetrahedral meshes, guided by cubic lattices, including BCC and FCC lattices. Given a volumetric domain with an input frame field and a user-specified edge length for the cubic lattice, we optimize a set of particles to form the desired lattice pattern. A Gaussian Hole Kernel associated with each particle is constructed. Minimizing the sum of kernels of all particles encourages the particles to form a desired layout, e.g., field-aligned BCC and FCC. The resulting set of particles can be connected to yield a high quality field-aligned tetrahedral mesh. As demonstrated by experiments and comparisons, the field-aligned and lattice-guided approach can produce higher quality isotropic and anisotropic tetrahedral meshes than state-of-the-art meshing methods.
dc.description.departmentErik Jonsson School of Engineering and Computer Science
dc.description.sponsorshipNational Science Foundation (NSF) under Grant No. IIS‐1149737; NSF ACI‐1657364; NSFC (No. 61522209, 6121000).
dc.identifier.bibliographicCitationNi, S., Z. Zhong, J. Huang, W. Wang, et al. 2018. "Field-aligned and lattice-guided tetrahedral meshing." Computer Graphics Forum 37(5): 161-172, doi:10.1111/cgf.13499
dc.identifier.issn0167-7055
dc.identifier.issue5
dc.identifier.urihttps://hdl.handle.net/10735.1/6807
dc.identifier.volume37
dc.language.isoen
dc.publisherJohn Wiley & Sons Ltd.
dc.relation.urihttp://dx.doi.org/10.1111/cgf.13499
dc.rights©2018 The Authors and The Eurographics Association and John Wiley & Sons Ltd. Published by John Wiley & Sons Ltd.
dc.source.journalComputer Graphics Forum
dc.subjectComputer graphics
dc.subjectLattice theory
dc.subjectNumerical grid generation (Numerical analysis)
dc.titleField-Aligned and Lattice-Guided Tetrahedral Meshing
dc.type.genrearticle

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