Display of vector fields using a reaction-diffusion model

IEEE Visualization 2004 - Proceedings, VIS 2004

Volumn , Issue , 2004, Pages 115-122

  Sanderson, Allen R ^a   Johnson, Chris R ^a   Kirby, Robert M ^a  

^a UNIVERSITY OF UTAH   (United States)

Author keywords

Flow Visualization; Reaction Diffusion; Vector Field Visualization; Vector Fields

Indexed keywords

BIOELECTRIC FIELDS; REACTION-DIFFUSION; VECTOR FIELD VISUALIZATION; VECTOR FIELDS;

ANISOTROPY; COMPUTATIONAL FLUID DYNAMICS; DIFFUSION; IMAGING TECHNIQUES; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PARTIAL DIFFERENTIAL EQUATIONS; VECTORS;

FLOW VISUALIZATION;

EID: 17044438963     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (33)

1. D.C. Banks and B.A. Singer. A predictor-corrector technique for visualizing steady flow. IEEE Transactions on Visualization and Computer Graphics, 2:151-163, 1995.
2. U. Bordoloi and H.W. Shen. Hardware accelerated interactive vector field visualization: A level of detail approach. Computer Graphics Forum, 21(3), 2002.
3. B. Cabral and C. Leedom. Imaging vector fields using line integral convolution. In Proceedings of SIGGRAPH 93, pages 263-270. ACM SIGGRAPH, 1993.
4. P. Chambers and A. Rockwood. Visualization of solid reaction-diffusion systems. IEEE Computer Graphics and Applications, pages 7-11, 1995.
5. W.C. de Leeuw and J.J. van Wijk. Enhanced spot noise for vector field visualization. In IEEE Visualization 95 Proceedings, pages 233-239, 1995.
6. H. Garcke, T. Preußer, M. Rumpf, A. Telea, U. Weikard, and J. van Wijk. A phase field model for continuous clustering on vectot fields. IEEE Transaction on Visualization and Computer Graphics, 7(3):230-241, 2001.
7. J. Helman and L. Hesselink. Visualizing vector field topology in fluid flows. IEEE Computer Graphics and Applications, May 1991.
8. L. Hultquist. Constructing stream surfaces in steady 3D vector fields. In Proceedings of IEEE Visualization '92, pages 171-177. IEEE Computer Society Press, 1992.
9. G.E. Kamiadakis and R. M. Kirby II. Parallel Scientific Computing in C++ and MPI. Cambridge, New York, 2003.
10. D.N. Kenwright and G.D. Mallinson. A 3-D streamline tracking algorithm using dual stream functions. In IEEE Visualization 92, pages 62-68, 1992.
11. G.L. Kindlmann, D.M. Weinstein, and D. Hart. Strategies for direct volume rendering of diffusion tensor fields. IEEE Trans. Visualization and Computer Graphics, 6(2):124-138, 2000.
12. R.M. Kirby, H. Marmanis, and D.H. Laidlaw. Visualizing multivalued data from 2d incompressible flows using concepts from painting. In Proceedings of the IEEE Visualization 99, 1999.
13. Ming-Hoe Kiu and David C. Banks. Multi-frequency noise for LIC. In Roni Yagel and Gregory M. Nielson, editors, IEEE Visualization '96, pages 121-126, 1996.
14. David H. Laidlaw, Robert M. Kirby, Cullen D. Jackson, J. Scott Davidson, Timothy S. Miller, Marco da Suva, William H. Warren, and Michael Tarr. Comparing 2d vector field visualization methods: A user study. IEEE Transactions on Visualization and Computer Graphics, Accepted for Publication, 2004.
15. A.E. Lefohn, J.M. Kniss, C.D. Hansen, and R. Whitaker. Interactive deformation and visualization of level set surfaces using graphics hardware. In IEEE Visualization 2003, pages 75-82, October 2003.
16. J.D. Murray. Mathematical Biology, Springer-Verlag, New York, 1989.
17. A.T. Pang, C.M. Wittenbrink, and S.K. Lodha. Approaches to uncertainty visualization. The Visual Computer, 13(8):370-390, November 1997.
18. F. Post, B. Vrolijk, H. Hauser, R.S. Laramee, and H. Doleisch. Feature extraction and visualization of flow fields. Eurographics 2002, pages 69-100, 2002.
19. F.J. Post, T. van Walsum, Post F.H., and D. Silver. Iconic techniques for feature visualization. In IEEE Visualization 95, pages 288-295, 1995.
20. T. Preußer and M. Rumpf. Anisotropic nonlinear diffusion in flow visualization. In Proceedings of Visualization '99, pages 325-332. IEEE Computer Society Press, Los Alamitos, CA, October 1999.
21. A. Rosenfeld and A.Kak. Digital Picture Processing. Academic Press, 1982.
22. C. Schroeder, W. Volpe and W. Lorensen. The stream polygon: A technique for 3D vector field visualization. In IEEE Visualization '91, pages 126-132. IEEE Press, 1991.
23. H.W. Shen, C.R. Johnson, and K.L. Ma. Global and local vector field visualization using enhanced line integral convolution. In Symposium on Volume Visualization, pages 63-70. IEEE Press, 1996.
24. A. Telea and J. J. van Wijk. Simplified representation of vector fields. In Proceedings of the IEEE Visualization 99, pages 35-42, 1999.
25. E.R. Tufte. The Visual Display of Quantitative Information. Graphics Press, Cheshire, Conn., 2nd edition, 2001.
26. A.M. Turing. The chemical basis of morphogenesis. Phil. Trans. Roy. Soc. Land., B237:37-72, 1952.
27. G. Turk. Generating textures on arbitrary surfaces using reaction-diffusion. Computer Graphics (SIGGRAPH), 25(4):289-298, 1991.
28. G. Turk and D. Banks. Image-guided streamline placement. Computer Graphics (SIGGRAPH), pages 453-460, 1996.
29. J.J. van Wijk. Spot noise: Texture synthesis for data visualization. Computer Graphics, 25(4):309-318, 1991.
30. R. Wegenkittl and Eduard Groller. Fast oriented line convolution for vector field visualization via the internet. In Visualization '97, pages 309-316, Phoenix, AZ., 1997. IEEE Press.
31. R. Westermann, C. Johnson, and T. Ertl. A level-set method for flow visualization. In IEEE Visualization 2000, pages 147-154, Salt Lake City, 2000. IEEE Computer Society.
32. A. Witkin and Mi. Kass. Reaction-diffusion textures. Computer Graphics (SIGGRAPH), 25(4):299-308, 1991.
33. M. Zockler, D. Stalling, and H-C. Hege. Interactive visualization of 3D-vector Fields using illuminated stream lines. In Visualization '96, San Francisco, CA., 1996. IEEE Press.