Publication Details

Category Text Publication
Reference Category Journals
DOI 10.1109/TVCG.2018.2864846
Document accepted manuscript
Title (Primary) Tensor field visualization using fiber surfaces of invariant space
Author Raith, F.; Blecha, C.; Nagel, T.; Parisio, F.; Kolditz, O. ORCID logo ; Günther, F.; Stommel, M.; Scheuermann, G.
Journal IEEE Transactions on Visualization and Computer Graphics
Year 2019
Department ENVINF
Volume 25
Issue 1
Page From 1122
Page To 1131
Language englisch
Keywords visualization, tensor field, invariants, fiber surface, interaction
Abstract Scientific visualization developed successful methods for scalar and vector fields. For tensor fields, however, effective, interactive visualizations are still missing despite progress over the last decades. We present a general approach for the generation of separating surfaces in symmetric, second-order, three-dimensional tensor fields. These surfaces are defined as fiber surfaces of the invariant space, i.e. as pre-images of surfaces in the range of a complete set of invariants. This approach leads to a generalization of the fiber surface algorithm by Klacansky et al. [16] to three dimensions in the range. This is due to the fact that the invariant space is three-dimensional for symmetric second-order tensors over a spatial domain. We present an algorithm for surface construction for simplicial grids in the domain and simplicial surfaces in the invariant space. We demonstrate our approach by applying it to stress fields from component design in mechanical engineering.
Persistent UFZ Identifier
Raith, F., Blecha, C., Nagel, T., Parisio, F., Kolditz, O., Günther, F., Stommel, M., Scheuermann, G. (2019):
Tensor field visualization using fiber surfaces of invariant space
IEEE Trans. Vis. Comput. Graph. 25 (1), 1122 - 1131