Iterative twofold line integral convolution for texture-based vector field visualization

Mathematics and Visualization

Volumn 0, Issue , 2009, Pages 191-211

  Weiskopf, Daniel ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; BLENDING; ITERATIVE METHODS; LAGRANGE MULTIPLIERS; VECTORS; VISUALIZATION;

COMPACT FILTER; FILTERING METHOD; FLEXIBLE DESIGNS; HIGH QUALITY; LAGRANGIAN PARTICLES; LINE INTEGRAL CONVOLUTION; NUMERICAL DIFFUSION; PARTICLE TRACING; SEMI-LAGRANGIAN; VECTOR FIELD VISUALIZATIONS;

CONVOLUTION;

EID: 85032926864     PISSN: 16123786     EISSN: 2197666X     Source Type: Book Series    
DOI: 10.1007/b106657_10     Document Type: Conference Paper

References (24)

1. D. Brook and R. J. Wynne. Signal Processing: Principles and Applications. Edward Arnold, London, 1988.
2. B. Cabral and L. C. Leedom. Imaging vector fields using line integral convolution. In Proc. ACM SIGGRAPH 1993, pages 263–270, 1993.
3. F. C. Crow. Summed-area tables for texture mapping. Computer Graphics (Proc. ACM SIGGRAPH 1984), 18(3):207–212, 1984.
4. G. Erlebacher, B. Jobard, and D. Weiskopf. Flow textures: High-resolution flow visualization. In C. D. Hansen and C. R. Johnson, editors, The Visualization Handbook, pages 279–293. Elsevier, Amsterdam, 2005.
5. T. Frankel. The Geometry of Physics: An Introduction. Cambridge University Press, New York, 2001.
6. G. Gorla, V. Interrante, and G. Sapiro. Texture synthesis for 3D shape representation. IEEE Transactions on Visualization and Computer Graphics, 9(4):512–524, 2003.
7. P. S. Heckbert. Filtering by repeated integration. Computer Graphics (Proc. ACM SIG-GRAPH 1986), 20(4):315–321, 1986.
8. P. S. Heckbert. Survey of texture mapping. IEEE Computer Graphics and Applications, 6(11):56–67, 1986.
9. H.-C. Hege and D. Stalling. Fast LIC with piecewise polynomial filter kernels. In H.-C. Hege and K. Polthier, editors, Mathematical Visualization, pages 295–314. Springer, Heidelberg, 1998.
10. B. Jobard, G. Erlebacher, and M. Y. Hussaini. Lagrangian-Eulerian advection of noise and dye textures for unsteady flow visualization. IEEE Transactions on Visualization and Computer Graphics, 8(3):211–222, 2002.
11. R. S. Laramee, H. Hauser, H. Doleisch, B. Vrolijk, F. H. Post, and D. Weiskopf. The state of the art in flow visualization: Dense and texture-based techniques. Computer Graphics Forum, 23(2):143–161, 2004.
12. R. S. Laramee, J. J. van Wijk, B. Jobard, and H. Hauser. ISA and IBFVS: Image space based visualization of flow on surfaces. IEEE Transactions on Visualization and Computer Graphics, 10(6):637–648, 2004.
13. N. Max and B. Becker. Flow visualization using moving textures. In Proc. ICASW/LaRC Symposium on Visualizing Time-Varying Data, pages 77–87, 1995.
14. A. Okada and D. Lane. Enhanced line integral convolution with flow feature detection. In Proc. IS&T/SPIE Electronic Imaging 1997, pages 206–217, 1997.
15. A. Sanna, B. Montrucchio, and P. Montuschi. A survey on visualization of vector fields by texture-based methods. Recent Res. Devel. Pattern Rec., 1:13–27, 2000.
16. J. Shen, W. Shen, S. Castan, and T. Zhang. Sum-box technique for fast linear filtering. Signal Processing, 82(8):1109–1126, 2002.
17. D. Stalling and H.-C. Hege. Fast and resolution independent line integral convolution. In Proc. ACM SIGGRAPH 1995, pages 249–256, 1995.
18. J. J. van Wijk. Spot noise – texture synthesis for data visualization. Computer Graphics (Proc. ACM SIGGRAPH 1991), 25(4):309–318, 1991.
19. J. J. van Wijk. Image based flow visualization. ACM Transactions on Graphics, 21(3): 745–754, 2002.
20. R. Wegenkittl, E. Gröller, and W. Purgathofer. Animating flow fields: Rendering of oriented line integral convolution. In Computer Animation 1997, pages 15–21, 1997.
21. D. Weiskopf. Dye advection without the blur: A level-set approach for texture-based visualization of unsteady flow. Computer Graphics Forum (Proc. Eurographics 2004), 23(3):479–488, 2004.
22. D. Weiskopf, G. Erlebacher, and T. Ertl. A texture-based framework for spacetime-coherent visualization of time-dependent vector fields. In Proc. IEEE Visualization 2003, pages 107–114, 2003.
23. D. Weiskopf and T. Ertl. A hybrid physical/device-space approach for spatio-temporally coherent interactive texture advection on curved surfaces. In Proc. Graphics Interface, pages 263–270, 2004.
24. D. Weiskopf, T. Schafhitzel, and T. Ertl. Real-time advection and volumetric illumination for the visualization of 3D unsteady flow. In Proc. Eurovis (EG/IEEE TCVG Symposium on Visualization), pages 13–20, 2005.