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Asymmetric Tensor Field Visualization for Surfaces

TitleAsymmetric Tensor Field Visualization for Surfaces
Publication TypeJournal Article
Year of Publication2011
AuthorsChen, G., D. Palke, Z. Lin, H. Yeh, P. Vincent, R. S. Laramee, and E. Zhang
JournalIEEE Transactions on Visualization and Computer Graphics
Pagination1979 - 1988
Date Published12/2011
Keywordsasymmetric tensor fields, earthquake engineering, fluid dynamics, glyph packing, hyperstreamline placement, solid deformation, tensor field visualization, vector field visualization, view-dependent visualization

Asymmetric tensor field visualization can provide important insight into fluid flows and solid deformations. Existing techniques for asymmetric tensor fields focus on the analysis, and simply use evenly-spaced hyperstreamlines on surfaces following eigenvectors and dual-eigenvectors in the tensor field. In this paper, we describe a hybrid visualization technique in which hyperstreamlines and elliptical glyphs are used in real and complex domains, respectively. This enables a more faithful representation of flow behaviors inside complex domains. In addition, we encode tensor magnitude, an important quantity in tensor field analysis, using the density of hyperstreamlines and sizes of glyphs. This allows colors to be used to encode other important tensor quantities. To facilitate quick visual exploration of the data from different viewpoints and at different resolutions, we employ an efficient image-space approach in which hyperstreamlines and glyphs are generated quickly in the image plane. The combination of these techniques leads to an efficient tensor field visualization system for domain scientists. We demonstrate the effectiveness of our visualization technique through applications to complex simulated engine fluid flow and earthquake deformation data. Feedback from domain expert scientists, who are also co-authors, is provided.

Short TitleIEEE Trans. Visual. Comput. Graphics