A Globally Conforming Lattice Structure for 2D Stress Tensor Visualization

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Date
2020
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Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
We 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.
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@article{
10.1111:cgf.13991
, journal = {Computer Graphics Forum}, title = {{
A Globally Conforming Lattice Structure for 2D Stress Tensor Visualization
}}, author = {
Wang, Junpeng
and
Wu, Jun
and
Westermann, Rüdiger
}, year = {
2020
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.13991
} }
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