Wang, JunpengWu, JunWestermann, RüdigerViola, Ivan and Gleicher, Michael and Landesberger von Antburg, Tatiana2020-05-242020-05-2420201467-8659https://doi.org/10.1111/cgf.13991https://diglib.eg.org:443/handle/10.1111/cgf13991We 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.Attribution 4.0 International License10.1111/cgf.13991417-427