Segmentation of discrete vector fields

IEEE Transactions on Visualization and Computer Graphics

Volumn 12, Issue 3, 2006, Pages 289-300

  Li, Hongyu ^a   Chen, Wenbin ^a   Shen, I Fan ^a  

^a FUDAN UNIVERSITY   (China)

Author keywords

Approximation; Contour; Green Function Method; Hodge decomposition; Normalized cut; Streamline; Vector field segmentation

Indexed keywords

APPROXIMATION; CONTOUR; GREEN FUNCTION METHOD; HODGE DECOMPOSITION; NORMALIZED CUT; STREAMLINE; VECTOR FIELD SEGMENTATION;

GREEN'S FUNCTION; HARMONIC ANALYSIS; IMAGE SEGMENTATION;

VECTOR QUANTIZATION;

ALGORITHM; ARTICLE; COMPUTER ASSISTED DIAGNOSIS; COMPUTER GRAPHICS; COMPUTER INTERFACE; COMPUTER SIMULATION; FLOW KINETICS; METHODOLOGY; SIGNAL PROCESSING; THEORETICAL MODEL;

ALGORITHMS; COMPUTER GRAPHICS; COMPUTER SIMULATION; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MODELS, THEORETICAL; RHEOLOGY; SIGNAL PROCESSING, COMPUTER-ASSISTED; USER-COMPUTER INTERFACE;

EID: 33645133186     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2006.54     Document Type: Article

References (20)

1. A.C. Telea and J.J.V. Wijk, "Simplified Representation of Vector Fields," Proc. IEEE Visualization Conf. 1999, pp. 35-42, 1999.
2. B. Heckel, G. Weber, B. Hamann, and K.I. Joy, "Construction of Vector Field Hierarchies," Proc. IEEE Visualization Conf. 1999, pp. 19-25, 1999.
3. B. Heckel, A.E. Uva, and B. Hamann, "Clustering-Based Generation of Hierarchical Surface Models," Proc. IEEE Visualization Conf. 1998 (Hot Topics), pp. 50-55, Oct. 1998.
4. H. Garcke, T. Preusser, M. Rumpf, A. Telea, U. Weikard, and J.J.V. Wijk, "A Continuous Clustering Method for Vector Fields," Proc. IEEE Visualization Conf. 2000, pp. 351-358, 2000.
5. H. Garcke, T. Preusser, M. Rumpf, A. Telea, U. Weikard, and J.J.V. Wijk, "A Phase Field Model for Continuous Clustering on Vector Fields," IEEE Trans. Visualization and Computer Graphics, vol. 7, pp. 230-241, 2001.
6. J. 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.
7. J. Helman and L. Hesselink, "Visualizing Vector Field Topology in Fluid Flows," IEEE Computer Graphics and Applications, vol. 11, no. 3, pp. 36-46, 1991.
8. W. de Leeuw and R. van Liere, "Collapsing Flow Topology Using Area Metrics," Proc. IEEE Visualization Conf. 1999, pp. 349-354, 1999.
9. W. de Leeuw and R. van Liere, "Visualization of Global Flow Structures Using Multiple Levels of Topology," Proc. Data Visualization Conf., pp. 45-52, 1999.
10. X. Tricoche, G. Scheuermann, and H. Hagen, "A Topology Simplification Method for 2D Vector Fields," Proc. IEEE Visualization 2000, T. Ertl, B. Hamann, and A. Varshney, eds., pp. 359-366, 2000.
11. X. Tricoche, G. Scheuermann, and H. Hagen, "Continuous Topology Simplification of Planar Vector Fields," Proc. IEEE Visualization 2001, pp. 159-166, 2001.
12. K. Polthier and E. Preuss, "Variational Approach to Vector Field Decomposition," Proc. Eurographics Workshop Scientific Visualization, 2000.
13. K. Polthier and E. Preuss, "Identifying Vector Fields Singularities Using a Discrete Hodge Decomposition," Visualization and Math., Springer Verlag, 2002.
14. J.-L. Chen, Z. Bai, B. Hamann, and T.J. Ligocki, "A Normalized-Cut Algorithm for Hierachical Vector Field Data Segmentation," Proc. Visualization and Data Analysis Conf., 2003.
15. R. Fedkiw, J. Stam, and H.W. Jensen, "Visual Simulation of Smoke," Proc. ACM SIGGRAPH 2001, pp. 23-30, 2001.
16. J. Stam, "Stable Fluids," Proc. ACM SIGGRAPH 1999, pp. 121-128, 1999.
17. Y. Tong, S. Lombeyda, A.N. Hirani, and M. Desbrun, "Discrete Multiscale Vector Field Decomposition," ACM Trans. Graphics, vol. 22, no. 3, pp. 445-452, July 2003.
18. M.T. Heath, Scientific Computing, An Introduction Survey. McGrawHall, 2001.
19. J. Shi and J. Malik, "Normalized Cuts and Image Segmentation," IEEE Trans. Pattern Analysis and Machine Intellegience, pp. 888-905, 2000.
20. B. Jobard and W. Lefer, "Creating Evenly-Spaced Streamlines of Arbitrary Density," Proc. Eighth Eurographics Workshop Visualization in Scientific Computing, pp. 43-56, 1997.