Efficient visualization of Lagrangian coherent structures by filtered AMR ridge extraction

IEEE Transactions on Visualization and Computer Graphics

Volumn 13, Issue 6, 2007, Pages 1456-1463

  Sadlo, Filip ^b   Peikert, Ronald ^a,b  

^a IEEE   (Switzerland)

^b ETH ZURICH   (Switzerland)

Author keywords

Coherent structures; Flow visualization; Ridge extraction; Unsteady vector fields; Vector field topology

Indexed keywords

ADAPTIVE MESH REFINEMENT; FINITE LYAPUNOV EXPONENTS; LAGRANGIAN COHERENT STRUCTURES; RIDGE EXTRACTION; UNSTEADY VECTOR FIELDS; VECTOR FIELD TOPOLOGY;

ADAPTIVE ALGORITHMS; LYAPUNOV FUNCTIONS; MESH GENERATION; TRAJECTORIES;

VISUALIZATION;

EID: 35948964790     PISSN: 10772626     EISSN: None     Source Type: Journal    
DOI: 10.1109/TVCG.2007.70554     Document Type: Article

References (30)

1. D. Asimov. Notes on the topology of vector fields and flows. Technical Report RNR-93-003, NASA Ames Research Center, 1993.
2. E. Auren, G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani. Predictability in the large: an extension of the concept of lyapunov exponent. J. Phys. A: Math. Gen, 30:1-26, 1997.
3. G. Benettin, L. Galgani, A. Giorgilli, and J. M. Strelcyn. Lyapunov characteristic exponent for smooth, dynamical systems and hamiltonian systems; a method for computing all of them. Mechanica, 15:9-20, 1980.
4. M. Chong, A. Perry, and B. Cantwell. A general classification of threedimensional flow fields. Phys. Fluids, 1990.
5. D. Eberly. Ridges in Image and Data Analysis. Computational Imaging and Vision. Kluwer Academic Publishers, 1996.
6. J. D. Furst and S. M. Pizer. Marching ridges. In 2001 IASTED International Conference on Signal and Image Processing, 2001.
7. C. Garth, G.-S. Li, X. Tricoche, and C. Hansen. Interactive visualization of coherent structures in transient flows. Topology-based Methods in Mathematics + Visualization, accepted for publication, 2007.
8. I. Goldhirsch, P.-L. Sulem, and S. a. Orszag. Stability and lyapunov stability of dynamical systems: A differential approach and a numerical method. Physica D, 27:311-337, 1987.
9. G. Haller. Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Physica D, 149:248-277, 2001.
10. G. Haller. Lagrangian coherent structures from approximate velocity data. Phys. Fluids, 2002.
11. R. Haralick. Ridges and valleys on digital images. Computer Vision, Graphics, and Image Processing, 22(10):28-38, 2001.
12. J. Helman and L. Hesselink. Representation and display of vector field topology in fluid flow data sets. IEEE Computer, 22(8):27-36, 1989.
13. J. Hunt, A. Wray, and P. Moin, Eddies, stream, and convergence zones in turbulent flows. Technical Report CTR-S88, Center for Turbulence Research, NASA Ames Research Center and Stanford University, 1988.
14. F. Hussain. Coherent structures and turbulence. Journal of Fluid Mechanics, 173:303-356, 1986.
15. J. Jeong and F. Hussain. On the identification of a vortex. Journal of Fluid Mechanics, 285(69):69-94, 1995.
16. D. N. Kenwright, C. Henze, and C. Levit. Feature extraction of separation and attachment lines. IEEE Transactions on Visualization and Computer Graphics, 5(2):.135-144, 1999.
17. G. Kindlmann, X. Tricoche, and C-F. Westin. Anisotropy creases delineate white matter structure in diffusion tensor MRI. In Ninth International Conference on Medical Image Computing and Computer-Assisted Intervention (MICCAI'06), Lecture Notes in Computer Science 3749, Copenhagen, Denmark, October 2006.
18. T. Lindeberg. Edge detection and ridge detection with automatic scale selection. Intern. Journal of Computer Vision, 30(2):77-116, 1996.
19. W. E. Lorensen and H. E. Cline. Marching cubes: A high, resolution 3d surface construction algorithm, In SIGGRAPH '87: Proceedings of the 14th annual conference on Computer graphics and interactive techniques, volume 21, pages 163-169, July 1987.
20. E. N. Lorenz. A study of the predictability if a 28-variable atmospheric model. Tellus, 17:321-333, 1965.
21. P. Majer. A Statistical Approach to Feature Detection and Scale Selection in Images. PhD thesis, University of Goettingen, 2000.
22. J. M. Nese. Quantifying local predictability in phase space. Physica D, 35:237-250, 1989.
23. R. Peikert and M. Roth. The parallel vectors operator: a vector field visualization primitive. In Proceedings of IEEE Visualization, pages 263270, 1999.
24. S. K. Robinson. Coherent motions in the turbulent boundary layer. Annu. Rev. Fluid Mech., 23:601-639, 1991.
25. F. Sadio and R. Peikert. Visualizing lagrangian coherent structures and comparison to vector field topology. Topology-based Methods in Mathematics + Visualization, accepted for publication, 2007.
26. J. Sahner, T. Weinkauf, and H.-C. Hege. Galilean invariant extraction and iconic representation of vortex core lines. In Proc. Symposium on Visualization (EuroVis '05), pages 151-160, 2005.
27. K. Shi, H. Theisel, T. Weinkauf, H. Hauser, H.-C. Hege, and H.-P. Seidel. Path line oriented topology for periodic 2D time-dependent vector fields. In Proc. Symposium on Visualization (EuroVis '06), pages 139146, 2006.
28. F. Suerich-Gulick, S. Gaskin, M. Villeneuve, G. Holder, and E. Parkinson. Experimental and numerical analysis of free surface vortices at a hydropower intake. In Proceedings of the 7th International Conference on Hydroscience and Engineering, pages 1-11, September 2006.
29. H. Theisel, T. Weinkauf, H.-C. Hege, and H-P. Seidel. Stream, line and path, line oriented topology for 2d time-dependent vector fields. In IEEE Visualization, pages 321-328, 2004.
30. S. Yoden and M. Nomura. Finite-time lyapuov stability analysis and its application to atmospheric predictability. Journal of the Atmospheric Sciences, 50(11):1531-1543, 1993.