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[Papers] My FTLE bibliography

posted Nov 2, 2011, 7:01 AM by Teng-Yok Lee   [ updated Jun 4, 2012, 11:25 AM ]
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.
  • 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:
  • 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.
  • 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
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: or