A Globally Conforming Lattice Structure for 2D Stress Tensor Visualization

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dc.contributor.authorWang, Junpengen_US
dc.contributor.authorWu, Junen_US
dc.contributor.authorWestermann, Rüdigeren_US
dc.contributor.editorViola, Ivan and Gleicher, Michael and Landesberger von Antburg, Tatianaen_US
dc.date.accessioned2020-05-24T13:01:09Z
dc.date.available2020-05-24T13:01:09Z
dc.date.issued2020
dc.description.abstractWe present a visualization technique for 2D stress tensor fields based on the construction of a globally conforming lattice. Conformity ensures that the lattice edges follow the principal stress directions and the aspect ratio of lattice elements represents the stress anisotropy. Since such a lattice structure cannot be space-filling in general, it is constructed from multiple intersecting lattice beams. Conformity at beam intersections is ensured via a constrained optimization problem, by computing the aspect ratio of elements at intersections so that their edges meet when continued along the principal stress lines. In combination with a coloring scheme that encodes relative stress magnitudes, a global visualization is achieved. By introducing additional constraints on the positional variation of the beam intersections, coherent visualizations are achieved when external loads or material parameters are changed. In a number of experiments using non-trivial scenarios, we demonstrate the capability of the proposed visualization technique to show the global and local structure of a given stress field.en_US
dc.description.number3
dc.description.sectionheadersVectors and Tensors
dc.description.seriesinformationComputer Graphics Forum
dc.description.volume39
dc.identifier.doi10.1111/cgf.13991
dc.identifier.issn1467-8659
dc.identifier.pages417-427
dc.identifier.urihttps://doi.org/10.1111/cgf.13991
dc.identifier.urihttps://diglib.eg.org:443/handle/10.1111/cgf13991
dc.publisherThe Eurographics Association and John Wiley & Sons Ltd.en_US
dc.rightsAttribution 4.0 International License
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/]
dc.titleA Globally Conforming Lattice Structure for 2D Stress Tensor Visualizationen_US
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