Flow field visualization using vector field perpendicular surfaces

ABSTRACT

This paper introduces Vector Field Perpendicular Surfaces as a means to represent vector data with special focus on variations across the vectors in the field. These surfaces are a perpendicular analogue to streamlines, with the vector data always being parallel to the normals of the surface. In this way the orientation of the data is conveyed to the viewer, while providing a continuous representation across the vectors of the field. This paper describes the properties of such surfaces including an issue with helicity density in the vector data, an approach to generating them, several stop conditions and special means to handle also fields with non-zero helicity density.

References

1. Bachthaler, S., and Weiskopf, D. 2007. Animation of orthogonal texture-based vector field visualization. In Proceedings of Eurographics/IEEE-VGTC Symposium on Visualization (Eurovis), 219--226.
2. Cabral, B., and Leedom, L. C. 1993. Imaging vector fields using line integral convolution. In Proceedings of ACM SIGGRAPH, 263--270.
3. de Leeuw, W., and van Wijk, J. 1993. A probe for local flow field visualization. In Proceedings of Visualization, 39--45.
4. Hung, C., and Buning, P. 1984. Simulation of blunt-fin induced shock wave and turbulent boundary layer separation. In Proceedings of AIAA Aerospace Sciences Conference.
5. Interrante, V., and Grosch, C. 1997. Strategies for effectively visualizing 3D flow with volume LIC. In Proceedings of IEEE Visualization, 421--424.
6. Interrante, V., and Grosch, C. 1998. Visualizing 3D flow. Computer Graphics and Applications 18, 49--53.
7. Knill, D. C., and Kersten, D. 2003. Visuomotor sensitivity to visual information about surface orientation. Journal of Neurophysiology 91, 1350--1366.
8. Laramee, R., Hauser, H., Doleisch, H., Vrolijk, B., Post, F., and Weiskopf, D. 2004. The state of the art in flow visualization: Dense and texture-based techniques. Computer Graphics Forum 23, 2, 203--221.
9. Laramee, R., Garth, C., Schneider, J., and Hauser, H. 2006. Texture advection on stream surfaces: A novel hybrid visualizationapplied to CFD simulation results. In Proceedings of Eurographics/IEEE-VGTC Symposium on Visualization (Eurovis), 155--162.
10. Lawrence, D. A., Lee, C. D., Pao, L. Y., and Novoselov, R. Y. 2000. Shock and vortex visualization using a combined visual/haptic interface. In Proceedings of IEEE Visualization, 131--137.
11. Post, F. H., Vrolijk, B., Hauser, H., Laramee, R. S., and Doleisch, H. 2003. The state of the art in flow visualization: Feature extraction and tracking. Computer Graphics Forum 22, 4, 775--792.
12. Schroeder, W., Martin, K., and Lorensen, B. 1998. The Visualization Toolkit, 2 ed. Prentice Hall PTR.
13. Sondershaus, R., and Gumhold, S. 2003. Meshing of diffusion surfaces for point-based tensor field visualization. In Proceedings of the 12th International Meshing Roundtable, 177--188.
14. Weinkauf, T., and Theisel, H. 2002. Curvature measures of 3D vector fields and their applications. Journal of WSCG 10, 2, 507--514.
15. Weiskopf, D. 2004. Dye advection without the blur: A level-set approach for texture-based visualization of unsteady flow. Computer Graphics Forum (Proc. Eurographics) 23, 3, 479--488.
16. Zhang, S., Çagatay Demiralp, and Laidlaw, D. 2003. Visualizing diffusion tensor mr images using streamtubes and streamsurfaces. IEEE Transactions on Visualization and Computer Graphics 9, 4, 454--462.

Index Terms

• Computing methodologies

  • Artificial intelligence

    • Computer vision

      • Image and video acquisition

        • 3D imaging

  • Computer graphics

    • Animation

    • Shape modeling

• Theory of computation

  • Randomness, geometry and discrete structures

    • Computational geometry