Design of 2D time-varying vector fields

IEEE Transactions on Visualization and Computer Graphics

Volumn 18, Issue 10, 2012, Pages 1717-1730

  Chen, Guoning ^a   Kwatra, Vivek ^b   Wei, Li Yi ^c,d   Hansen, Charles D ^a   Zhang, Eugene ^e  

^a UNIVERSITY OF UTAH   (United States)

^b GOOGLE INC   (United States)

^c UNIVERSITY OF HONG KONG   (Hong Kong)

^d MICROSOFT RESEARCH   (United States)

^e 1148 Kelley Engineering Center Corvallis   (United States)

Author keywords

2D vector fields; dynamic effects for surfaces; Time varying vector fields; vector field design

Indexed keywords

COMPUTER GRAPHICS APPLICATIONS; CROWD MOVEMENTS; DESIGN METAPHORS; DESIGN SYSTEMS; DYNAMIC EFFECTS; DYNAMIC SCENES; FIELD DEFORMATIONS; KEY FRAMES; ORIENTATION FIELDS; PAINTERLY ANIMATIONS; PLANAR DOMAIN; SIMULATION-BASED METHOD; SPATIAL TEMPORALS; SURFACE APPEARANCE; SYSTEM SUPPORTS; TEMPORAL CHARACTERISTICS; TIME VARYING; VECTOR FIELDS;

ANIMATION; COMPUTER GRAPHICS; CONSTRAINED OPTIMIZATION; TIME VARYING CONTROL SYSTEMS; TWO DIMENSIONAL; VECTORS;

DESIGN;

EID: 84865351552     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2011.290     Document Type: Article

References (30)

1. P. Alliez, D. Cohen-Steiner, O. Devillers, B. Le'vy, and M. Desbrun, "Anisotropic Polygonal Remeshing," ACM Trans. Graphics, vol. 22, no. 3, pp. 485-493, 2003.
2. A.W. Bargteil, F. Sin, J.E. Michaels, T.G. Goktekin, and J.F. O'Brien, "A Texture Synthesis Method for Liquid Animations," Proc ACM SIGGRAPH/Eurographics Symp. Computer Animation (SCA '06), pp. 345-351, Sept. 2006.
3. G. Chen, K. Mischaikow, R.S. Laramee, P. Pilarczyk, and E. Zhang, "Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition," IEEE Trans. Visualization and Computer Graphics, vol. 13, no. 4, pp. 769-785, July-Aug. 2007. (Pubitemid 47289551)
4. S. Chenney, "Flow Tiles," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation (SCA '04), pp. 233-242, 2004.
5. Y.-Y. Chuang, D.B. Goldman, K.C. Zheng, B. Curless, D.H. Salesin, and R. Szeliski, "Animating Pictures with Stochastic Motion Textures," ACM Trans. Graphics, vol. 24, no. 3, pp. 853-860, 2005.
6. K. Crane, M. Desbrun, and P. Schröder, "Trivial Connections on Discrete Surfaces," Computer Graphics Forum (SGP), vol. 29, no. 5, pp. 1525-1533, 2010.
7. T. Faber, Fluid Dynamics for Physicists. Cambridge Univ. Press, 1995.
8. M. Fisher, P. Schröder, M. Desbrun, and H. Hoppe, "Design of Tangent Vector Fields," ACM Trans. Graphics, vol. 26, no. 3, pp. 56:1-56:9, 2007.
9. M.S. Floater, "Mean Value Coordinates," Computer Aided Geometric Design, vol. 20, no. 1, pp. 19-27, 2003.
10. H. Fu, Y. Wei, C.-L. Tai, and L. Quan, "Sketching Hairstyles," Proc. Fourth Eurographics Workshop Sketch-based Interfaces and Modeling (SBIM '07), pp. 31-36, 2007.
11. J. Hale and H. Kocak, Dynamics and Bifurcations. Springer, 1991.
12. G. Haller, "Finding Finite-Time Invariant Manifolds in Two-Dimensional Velocity Fields," Chaos, vol. 10, no. 1, pp. 99-108, 2000.
13. J. Han, K. Zhou, L.-Y. Wei, M. Gong, H. Bao, X. Zhang, and B. Guo, "Fast Example-Based Surface Texture Synthesis via Discrete Optimization," The Visual Computer, vol. 22, no. 9, pp. 918-925, 2006. (Pubitemid 44371198)
14. J. Hays and I. Essa, "Image and Video Based Painterly Animation," Proc. Third Int'l Symp. Non-Photorealistic Animation and Rendering (NPAR '04), pp. 113-120, 2004.
15. J.L. Helman and L. Hesselink, "Representation and Display of Vector Field Topology in Fluid Flow Data Sets," Computer, vol. 22, no. 8, pp. 27-36, Aug. 1989. (Pubitemid 20617578)
16. A. Hertzmann, "Painterly Rendering with Curved Brush Strokes of Multiple Sizes," Proc. SIGGRAPH '98, pp. 453-460, 1998.
17. A. Hertzmann and K. Perlin, "Painterly Rendering for Video and Interaction," Proc. First Int'l Symp. Non-Photorealistic Animation and Rendering (NPAR '00), pp. 7-12, 2000.
18. M. Kagaya, W. Brendel, Q. Deng, T. Kesterson, S. Todorovic, P.J. Neill, and E. Zhang, "Video Painting with Space-Time-Varying Style Parameters," IEEE Trans. Visualization and Computer Graphics, vol. 17, no. 1, pp. 74-87, Jan. 2011.
19. V. Kwatra, D. Adalsteinsson, T. Kim, N. Kwatra, M. Carlson, and M. Lin, "Texturing Fluids," IEEE Trans. Visualization and Computer Graphics, vol. 13, no. 5, pp. 939-952, Sept.-Oct. 2007. (Pubitemid 47385593)
20. V. Kwatra, I. Essa, A. Bobick, and N. Kwatra, "Texture Optimization for Example-Based Synthesis," ACM Trans. Graphics, vol. 24, pp. 795-802, Aug. 2005.
21. Y.-K. Lai, M. Jin, X. Xie, Y. He, J. Palacios, E. Zhang, S.-M. Hu, and X. Gu, "Metric-Driven Rosy Field Design and Remeshing," IEEE Trans. Visualization and Computer Graphics, vol. 16, no. 1, pp. 95-108, Jan.-Feb. 2010.
22. R.S. Laramee, B. Jobard, and H. Hauser, "Image Space Based Visualization of Unsteady Flow on Surfaces," Proc. IEEE 14th Visualization (VIS '03), pp. 131-138, Oct. 2003.
23. S. Lefebvre and H. Hoppe, "Appearance-Space Texture Synthesis," ACM Trans. Graphics, vol. 25, no. 3, pp. 541-548, 2006. (Pubitemid 44481013)
24. C. Ma, L.-Y. Wei, B. Guo, and K. Zhou, "Motion Field Texture Synthesis," ACM Trans. Graphics, vol. 28, no. 5, pp. 110:1-110:8, 2009.
25. O. Mallo, R. Peikert, C. Sigg, and F. Sadlo, "Illuminated Lines Revisited," Proc. IEEE Visualization (VIS '05), pp. 19-26, 2005.
26. F. Neyret, "Advected Textures," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation (SCA '03), pp. 147-153, 2003.
27. J. Palacios and E. Zhang, "Rotational Symmetry Field Design on Surfaces," ACM Trans. Graphics, vol. 26, no. 3, pp. 56:1-56:10, 2007.
28. R. Parent, Computer Animation: Algorithms and Techniques, second ed. Morgan Kaufmann Publishers, Inc., 2007.
29. S. Patil, J. van den Berg, S. Curtis, M.C. Lin, and D. Manocha, "Directing Crowd Simulations Using Navigation Fields," IEEE Trans. Visualization and Computer Graphics, vol. 17, no. 2, pp. 244-254, Feb. 2011.
30. F. Pighin, J.M. Cohen, and M. Shah, "Modeling and Editing Flows Using Advected Radial Basis Functions," Proc. ACM SIGGRAPH/Eurographics Symp. Computer Animation (SCA '04), pp. 223-232, 2004.