Stream line and path line oriented topology for 2D time-dependent vector fields

IEEE Visualization 2004 - Proceedings, VIS 2004

Volumn , Issue , 2004, Pages 321-328

  Theisel, Holger ^a   Weinkauf, Tino ^b   Hege, Hans Christian ^b   Seidel, Hans Peter ^a  

^a MAX PLANCK INSTITUTE FOR INFORMATICS   (Germany)

^b ZUSE INSTITUTE BERLIN   (Germany)

Author keywords

Bifurcations; Flow visualization; Path lines; Stream lines; Vector field topology

Indexed keywords

FLOW BEHAVIOR; PATH LINES; STREAM LINES; VECTOR FIELD TOPOLOGY;

BIFURCATION (MATHEMATICS); DATA REDUCTION; FLOW VISUALIZATION; IMAGE SEGMENTATION; MATRIX ALGEBRA; TOPOLOGY; VECTOR QUANTIZATION;

MOTION PLANNING;

EID: 17044370304     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (28)

1. L. Abraham and K. Shaw. Dynamics, The Geometry of Behaviour. Addison-Wesley, 1992.
2. P. G. Bakker. Bifurcations in Flow Patterns (Theory and Applications of Transport in Porous Media). Kluwer Academic Publishers, 1991.
3. W. de Leeuw and R. van Liere. Collapsing flow topology using area metrics. In Proc. IEEE Visualization'99, pages 149-354, 1999.
4. W. de Leeuw and R. van Liere. Visualization of global flow structures using multiple levels of topology. In Data Visualization 1999. Proc. VisSym 99, pages 45-52, 1999.
5. W. de Leeuw and J. van Wijk. A probe for local flow field visualization. In Proc. IEEE Visualization'93, pages 39-45, Los Alamitos, 1993. IEEE Computer Society Press.
6. A. Globus, C. Levit, and T. Lasinski. A tool for visualizing the topology of three-dimensional vector fields. In Proc. IEEE Visualization'91, pages 33-40, 1991.
7. G. Haller. Finding finite-time invariant manifolds in two-dimensional velocity fields. Chaos, 10(1):99-108, 2000.
8. G. Haller, Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Physica D, 149:248-277, 2001.
9. J. Helman and L. Hesselink. Representation and display of vector field topology in fluid flow data sets. IEEE Computer, 22(8):27-36, August 1989.
10. J. Helman and L. Hesselink. Visualizing vector field topology in fluid flows. IEEE Computer Graphics and Applications, 11:36-46, May 1991.
11. S.K. Lodha, J.C. Renteria, and K.M. Roskin. Topology preserving compression of 2D vector fields. In Proc. IEEE Visualization 2000, pages 343-350, 2000.
12. H. Löffelmann, H. Doleisch, and E. Gröller. Visualizing dynamical systems near critical points. In Spring Conference on Computer Graphics and its Applications, pages 175-184, Budmerice, Slovakia, 1998.
13. K. Mahrous, J. Bennett, G. Scheuermann, B. Hamann, and K. Joy. Topological segmentation in three-dimensional vector fields. IEEE Transactions on Visualization and Computer Graphics, 10(2):198-205, 2004.
14. R.W. Panton. Incompressible Flow. John Wiley & Sons, New York, etc., 1984.
15. G. Scheuermann, H. Krüger, M. Menzel, and A. Rockwood. Visualizing non-linear vector field topology. IEEE Transactions on Visualization and Computer Graphics, 4(2):109-116, 1998.
16. D. Stalling, H.-C. Hege, and M. Westerhoff. Amira - a highly interactive system for visual data analysis. In Christopher R. Johnson and Charles D. Hansen, editors, Visualization Handbook. Academic Press, 2004.
17. H. Theisel. Designing 2D vector fields of arbitrary topology. Computer Graphics Forum (Eurographics 2002), 21(3):595-604, 2002.
18. H. Theisel and H.-P. Seidel. Feature flow fields. In Data Visualization 2003. Proc. VisSym 03, pages 141-148, 2003.
19. H. Theisel, T. Weinkauf, H.-C. Hege, and H.-P. Seidel. Saddle connectors - an approach to visualizing the topological skeleton of complex 3D vector fields. In Proc. IEEE Visualization 2003, pages 225-232, 2003.
20. X. Tricoche, G. Scheuermann, and H. Hagen. A topology simplification method for 2D vector fields. In Proc. IEEE Visualization 2000, pages 359-366, 2000.
21. X. Tricoche, G. Scheuermann, and H. Hagen. Continuous topology simplification of planar vector fields. In Proc. Visualization 01, pages 159-166, 2001.
22. X. Tricoche, G. Scheuermann, and H.Hagen. Topology-based visualization of time-dependent 2D vector fields. In Data Visualization 2001. Proc. VisSym 01, pages 117-126, 2001.
23. X. Tricoche, T. Wischgoll, G. Scheuermann, and H.Hagen. Topology tracking for the visualization of time-dependent two-dimensional flows. Computers & Graphics, 26:249-257, 2002.
24. T. Weinkauf, H. Theisel, H.-C. Hege, and H.-P. Seidel. Boundary switch connectors for topological visualization of complex 3d vector fields. In Data Visualization 2004. Proc. VisSym 04, 2004.
25. R. Westermann, C. Johnson, and T. Ertl. Topology-preserving smoothing of vector fields. IEEE Transactions on Visualization and Computer Graphics, 7(3):222-229, 2001.
26. T. Wischgoll and G. Scheuermann. Detection and visualization of closed streamlines in planar flows. IEEE Transactions on Visualization and Computer Graphics, 7(2):165-172, 2001.
27. T. Wischgoll, G. Scheuermann, and H. Hagen. Tracking closed stream lines in time-dependent planar flows. In Proc. Vision, Modeling and Visualization 2001, pages 447-454, 2001.
28. M. Zöckler, D. Stalling, and H.C. Hege. Interactive visualization of 3D-vector fields using illuminated stream lines. In Proc. IEEE Visualization'96, pages 107-113, 1996.