posted Nov 2, 2011, 7:01 AM by Teng-Yok Lee
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updated Jun 4, 2012, 11:25 AM
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Fast computation of FTLE - S. L. Brunton and C. W. Rowley, Fast computation of finite-time Lyapunov exponent fields for unsteady flows. Chaos 20 : 017503, March 2010. http://carlsbad.princeton.edu/~steve/papers/BrRo_Chaos20.pdf
- C. Garth, G.-S. Li, X. Tricoche, C. D. Hansen, and H. Hagen. Visualization of coherent structures in 2d transient flows. In Proceedings of the Workshop on Topology-Based Methods in Visualization, 2007.
- Garth, C.; Gerhardt, F.; Tricoche, X.; Hagen, H.; , "Efficient
Computation and Visualization of Coherent Structures in Fluid Flow
Applications," Visualization and Computer Graphics, IEEE Transactions on , vol.13, no.6, pp.1464-1471, Nov.-Dec. 2007. doi: 10.1109/TVCG.2007.70551. URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4376175&isnumber=4376125
- Conti C., Rossinelli D., Koumoutsakos P., GPU and APU computations of Finite Time Lyapunov Exponent fields, Journal of Computational Physics, 231(5):2229–2244, 2012.
- Marcel Hlawatsch, Filip Sadlo, and Daniel Weiskopf. 2011. Hierarchical Line Integration. IEEE Transactions on Visualization and Computer Graphics 17, 8 (August 2011), 1148-1163.
Alternatives - Jens Kasten,
Christoph Petz,
Ingrid Hotz,
Bernd R. Noack,
Hans-Christian Hege:
Localized Finite-time Lyapunov Exponent for Unsteady Flow Analysis.
VMV 2009: 265-276.
- Dominic Schneider, Jan Fuhrmann, Wieland Reich and Gerik Scheuermann, A
Variance Based FTLE-Like Method for Unsteady Uncertain Vector Fields, in Topological
Methods in Data Analysis and Visualization II, Part 4, Pages 255-268, 2012
Analysis of LCS - G. Haller. Distinguished material surfaces and coherent structures in three- dimensional fluid fows. Physica D, 149:248{277, 2001.
- Doug Lipinski and Kamran Mohseni, "A ridge tracking algorithm and error estimate for efficient computation of Lagrangian coherent structures." Chaos 20, 017504 (2010); doi:10.1063/1.3270049.
- F. Sadlo, A. Rigazzi, and R. Peikert, "Time-Dependent visualization of
lagrangian coherent structures by grid advection," in Topological
Methods in Data Analysis and Visualization, ch. 13, pp. 151-165. 2011.
LIC for time-varying data Application: Seeding - Burger, K.; Kondratieva, P.; Kruger, J.; Westermann, R.; , "Importance-Driven Particle Techniques for Flow Visualization," Visualization Symposium, 2008. PacificVIS '08. IEEE Pacific , vol., no., pp.71-78, 5-7 March 2008. doi: 10.1109/PACIFICVIS.2008.4475461. URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4475461&isnumber=4475438
- Ferstl, F.; Burger, K.; Theisel, H.; Westermann, R.; , "Interactive Separating Streak Surfaces," Visualization and Computer Graphics, IEEE Transactions on , vol.16, no.6, pp.1569-1577, Nov.-Dec. 2010. doi: 10.1109/TVCG.2010.169. URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=5613499&isnumber=5613414
Application: Video Analysis - Ali, S.; Shah, M.; , "A Lagrangian Particle Dynamics Approach for Crowd Flow Segmentation and Stability Analysis," Computer Vision and Pattern Recognition, 2007. CVPR '07. IEEE Conference on , vol., no., pp.1-6, 17-22 June 2007. doi: 10.1109/CVPR.2007.382977. URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=4270002&isnumber=4269956 or http://www.cs.ucf.edu/~sali/Publications/2007_CVPR_CrowdSegmentation.pdf.
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