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

• Zhanping Liu and Robert J. Moorhead II. Accelerated Unsteady Flow Line Integral Convolution. IEEE Transactions on Visualization and Computer Graphics, Vol. 11, No. 2, 2005. pp. 113~125. AUFLIC 2.0 pdf / AUFLIC 2.0 online introduction / movies.

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.