Summary
We describe an approach to visually analyzing the dynamic behavior of 3D time-dependent flow fields by considering the behavior of the path lines. At selected positions in the 4D space-time domain, we compute a number of local and global properties of path lines describing relevant features of them. The resulting multivariate data set is analyzed by applying state-of-the-art information visualization approaches in the sense of a set of linked views (scatter plots, parallel coordinates, etc.) with interactive brushing and focus+context visualization. The selected path lines with certain properties are integrated and visualized as colored 3D curves. This approach allows an interactive exploration of intricate 4D flow structures. We apply our method to a number of flow data sets and describe how path line attributes are used for describing characteristic features of these flows.
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References
Bauer, D., Peikert, R.: Vortex tracking in scale space. In: Proc. VisSym 02, 233–240 (2002)
Banks, D.C., Singer, B.A.: Vortex tubes in turbolent flows: Identification, representation, reconstruction. In: Proc. IEEE Visualization 1994, 132–139 (1994)
Banks, D.C., Singer, B.A.: A predictor-corrector technique for visualizing unsteady flow. IEEE Transactions on Visualization and Computer Graphics., 1(2), 151–163 (1995)
Doleisch, H., Gasser, M., Hauser, H.: Interactive feature specification for focus+context visualization of complex simulation data. In: Proc. VisSym 03, 239–248 (2003)
Doleisch, H., Muigg, P., Hauser, H.: Interactive visual analysis of hurricane isabel. VRVis Technical Report (2004)
Doleisch, H., Mayer, M., Gasser, M., Priesching, P., Hauser, H.: Interactive feature specification for simulation data on time-varying grids. In: SimVis 05, 291–304 (2005)
Globus, A., Levit, C., Lasinski, T.: A tool for visualizing the topology of three-dimensional vector fields. In: Proc. IEEE Visualization 1991, 33–40 (1991)
Gruchalla, K., Marbach, J.: Immersive visualization of the hurricane isabel dataset. (2004)
Green, M.A., Rowley, C.W., Haller, G.: Detection of lagrangian coherent structures in 3D turbulence. Journal of Fluid Mechanics., 572, 111–120 (2007)
Garth, C., Tricoche, X., Scheuermann, G.: Tracking of vector field singularities in unstructured 3D time-dependent datasets. In: Proc. IEEE Visualization 2004, 329–336 (2004)
Hunt, J.C.R.: Vorticity and vortex dynamics in complex turbulent flows. Trans. Can. Soc. Mec. Engrs., 11:21 (1987)
Johnson, C.: Top scientific visualization research problems. IEEE Comput. Graph. Appl., 24(4), 13–17 (2004)
Löffelmann, H., Doleisch, H., Gröller, E.: Visualizing dynamical systems near critical points. In: Spring Conference on Computer Graphics and its Applications, 175–184 (1998)
Mahrous, K., Bennett, J., Scheuermann, G., Hamann, B., Joy, K.: Topolog-ical segmentation in three-dimensional vector fields. IEEE Transactions on Visualization and Computer Graphics., 10(2), 198–205 (2004)
Matkovic, K., Jelovic, M., Juric, J., Konyha, Z., Gracanin, D.: Interactive visual analysis end exploration of injection systems simulations. In: IEEE Visualization 2005, 391–398 (2005)
Peikert, R., Roth, M.: The parallel vectors operator - a vector field visualization primitive. In: Proc. IEEE Visualization 1999, 263–270 (1999)
Post, F.H., Vrolijk, B., Hauser, H., Laramee, R.S., Doleisch, H.: The state of the art in flow visualization: Feature extraction and tracking. Computer Graphics Forum., 22(4), 775–792 (2003)
Sujudi, D., Haimes, R.: Identification of swirling flow in 3D vector fields. AIAA Paper. 95,1715 (1995)
Shadden, S., Lekien, F., Marsden, J.E.: Definition and properties of lagrangian coherent structures from finite-time lyapunov exponents in two-dimensional aperiodic flows. Physica D., 212, 271–304 (2005)
Salzbrunn, T., Scheuermann, G.: Streamline predicates as flow topology generalization. In: Topo-In-Vis 2005 (2005)
Stalling, D., Westerhoff, M., Hege, H.C.: Amira: A highly interactive system for visual data analysis. The Visualization Handbook, 749–767 (2005)
Theisel, H., Seidel, H.P.: Feature flow fields. In: Proc. VisSym 03, 141–148 (2003)
Tricoche, X., Scheuermann, G., Hagen, H.: Topology-based visualization of time-dependent 2D vector fields. In: Proc. VisSym 01, 117–126 (2001)
Theisel, H., Sahner, J., Weinkauf, T., Hege, H.C., Seidel, H.P.: Extraction of parallel vector surfaces in 3d time-dependent fields and application to vortex core line tracking. In: Proc. IEEE Visualization 2005, 631–638 (2005)
Theisel, H., Weinkauf, T., Hege, H.C., Seidel, H.P.: Saddle connectors - an approach to visualizing the topological skeleton of complex 3D vector fields. In: Proc. IEEE Visualization 2003, 225–232 (2003)
Theisel, H., Weinkauf, T., Hege, H.C., Seidel, H.P.: Stream line and path line oriented topology for 2D time-dependent vector fields. In: Proc. IEEE Visualization 2004, 321–328 (2004)
Theisel, H., Weinkauf, T., Hege, H.C., Seidel, H.P.: Topological methods for 2D time-dependent vector fields based on stream lines and path lines. IEEE Transactions on Visualization and Computer Graphics., 11(4), 383–394 (2005)
Weiskopf, D., Erlebacher, G., Ertl, T.: A Texture-Based Framework for Spacetime-Coherent Visualization of Time-Dependent Vector Fields. In: Proc. IEEE Visualization 2003, 107–114 (2003)
Wiebel, A., Scheuermann, G.: Eyelet particle tracing - steady visualization of unsteady flow. In: Proc. IEEE Visualization 2005 (2005)
Weiskopf, D., Schramm, F., Erlebacher, G., Ertl, T.: Particle and Texture Based Spatiotemporal Visualization of Time-Dependent Vector Fields. In: Proc. IEEE Visualization 2005 (2005)
Weinkauf, T., Theisel, H., Hege, H.C., Seidel, H.P.: Boundary switch connectors for topological visualization of complex 3D vector fields. In: Proc. VisSym 04, 183–192 (2004)
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Shi, K. et al. (2009). Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields. In: Hege, HC., Polthier, K., Scheuermann, G. (eds) Topology-Based Methods in Visualization II. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88606-8_6
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DOI: https://doi.org/10.1007/978-3-540-88606-8_6
Publisher Name: Springer, Berlin, Heidelberg
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