• Bachthaler S, Sadlo F, Dachsbacher C, Weiskopf D (2012) Space-time visualization of dynamics in Lagrangian coherent structures of time-dependent 2D vector fields. In: Proceedings of International Conference on Information Visualization Theory and Applications, pp 573–583

• Cabral B, Leedom LC (1993) Imaging vector fields using line integral convolution. In: Proceedings of ACM SIGGRAPH Computer Graphics and Interactive Techniques, pp 263–270

• Chen G, Mischaikow K, Laramee RS, Pilarczyk P, Zhang E (2007) Vector field editing and periodic orbit extraction using morse decomposition. IEEE Trans Vis Comput Graph 13(4):769–785

  Article  Google Scholar 

• Eberly D (1996) Ridges in image and data analysis. Computational Imaging and Vision. Kluwer Academic Publishers, Dordrecht

  Book  Google Scholar 

• Esturo JM, Schulze M, Rössl C, Theisel H (2013) Global selection of stream surfaces. Comput Graph Forum 32(2):113–122

  Article  Google Scholar 

• Fuchs R, Peikert R, Hauser H, Sadlo F, Muigg P (2008) Parallel vectors criteria for unsteady flow vortices. IEEE Trans Vis Comput Graph 14(3):615–626

  Article  Google Scholar 

• Fuchs R, Peikert R, Sadlo F, Alsallakh B, Gröller ME (2008) Delocalized unsteady vortex region detectors. In: Proceedings of Vision, Modelling and Visualization, pp 81–90

• Gamito MN, Maddock SC (2007) Ray casting implicit fractal surfaces with reduced affine arithmetic. Vis Comput 23(3):155–165

  Article  Google Scholar 

• Haller G (2001) Distinguished material surfaces and coherent structures in three-dimensional fluid flows. Phys D 149(4):248–277

  Article MathSciNet MATH  Google Scholar 

• Hlawatsch M, Sadlo F, Hajun J, Weiskopf D (2014) Pathline glyphs. Comput Graph Forum 33(2):497–506

  Article  Google Scholar 

• Hlawatsch M, Sadlo F, Weiskopf D (2011) Hierarchical line integration. IEEE Trans Vis Comput Graph 17(8):1148–1163

  Article  Google Scholar 

• Hlawatsch M, Sadlo F, Weiskopf D (2013) Predictability-based adaptive mouse interaction and zooming for visual flow exploration. Int J Uncertain Quantif 3(3):225–240

  Article MathSciNet  Google Scholar 

• Hultquist JPM (1992) Constructing stream surfaces in steady 3D vector fields. In: Proceedings of IEEE Visualization, pp 171–178

• Jeong J, Hussain F (1995) On the identification of a vortex. J Fluid Mech 285(69):69–94

  Article MathSciNet MATH  Google Scholar 

• Jobard B, Lefer W (1997) Creating evenly-spaced streamlines of arbitrary density. In: Visualization in Scientific Computing 97, Eurographics, pp 43–55

• Karch GK, Sadlo F, Weiskopf D, Ertl T (2014) Streamline-based concepts for space-time analysis of 2D time-dependent flow. In: Proceedings of the 16th International Symposium on Flow Visualization

• Kurzhals K, Weiskopf D (2013) Space-time visual analytics of eye-tracking data for dynamic stimuli. IEEE Trans Vis Comput Graph 12(19):2129–2138

  Article  Google Scholar 

• Laramee RS, Hauser H, Doleisch H, Vrolijk B, Post FH, Weiskopf D (2004) The state of the art in flow visualization: Dense and texture-based techniques. Comput Graph Forum 23(2):203–221

  Article  Google Scholar 

• Levy Y, Degani D, Seginer A (1990) Graphical visualization of vortical flows by means of helicity. AIAA 28(8):1347–1352

  Article  Google Scholar 

• Machado G, Sadlo F, Ertl T (2013) Local extraction of bifurcation lines. In: Proceedings of Vision, Modelling and Visualization, pp 9–16

• Mattausch O, Theußl T, Hauser H, Gröller E (2003) Strategies for interactive exploration of 3D flow using evenly-spaced illuminated streamlines. In: Proceedings of 19th Spring Conference on Computer Graphics, pp 213–222

• McLoughlin T, Jones M, Laramee R, Malki R, Masters I, Hansen C (2013) Similarity measures for enhancing interactive streamline seeding. IEEE Trans Vis Comput Graph 19(8):1342–1353

  Article  Google Scholar 

• Pagot C, Osmari D, Sadlo F, Weiskopf D, Ertl T, Comba J (2011) Efficient parallel vectors feature extraction from higher-order data. Comput Graph Forum 30(3):751–760

  Article  Google Scholar 

• Peikert R, Roth M (1999) The ‘parallel vectors’ operator - a vector field visualization primitive. In: Proceedings of IEEE Visualization, pp 263–270

• Perry AE, Chong MS (1987) A description of eddying motions and flow patterns using critical-point concepts. Ann Rev Fluid Mech 19:125–155

  Article  Google Scholar 

• Roth M (2000) Automatic extraction of vortex core lines and other line-type features for scientific visualization. Ph.D. thesis, ETH Zurich, No. 13673

• Sadlo F, Peikert R, Parkinson E (2004) Vorticity based flow analysis and visualization for Pelton turbine design optimization. In: Proceedings of IEEE Visualization, pp 179–186

• Sadlo F, Weiskopf D (2010) Time-dependent 2-D vector field topology: an approach inspired by Lagrangian coherent structures. Comput Graph Forum 29(1):88–100

  Article  Google Scholar 

• Sahner J, Weinkauf T, Hege HC (2005) Galilean invariant extraction and iconic representation of vortex core lines. In: Proceedings of Eurographics/IEEE VGTC Symposium on Visualization, pp 151–160

• Schafhitzel T, Vollrath JE, Gois JP, Weiskopf D, Castelo A, Ertl T (2008) Topology-preserving lambda\({}_{\rm 2}\)-based vortex core line detection for flow visualization. Comput Graph Forum 27(3):1023–1030

  Article  Google Scholar 

• Sujudi D, Haimes R (1995) Identification of swirling flow in 3D vector fields. In: Proceedings of 12th AIAA Computational Fluid Dynamics Conference, pp 95–1715

• Theisel H, Seidel HP (2003) Feature flow fields. In: Proceedings of Eurographics/IEEE VGTC Symposium on Visualization, pp 141–148

• Theisel H, Weinkauf T, Hege HC, Seidel HP (2004) Stream line and path line oriented topology for 2D time-dependent vector fields. In: Proceedings of IEEE Visualization, pp 321–328

• Turk G, Banks D (1996) Image-guided streamline placement. In: Proceedings of ACM SIGGRAPH Computer Graphics and Interactive Techniques, pp 453–460

• Ueng SK, Sikorski C, Ma KL (1996) Efficient streamline, streamribbon, and streamtube constructions on unstructured grids. IEEE Trans Vis Comput Graph 2(2):100–110

  Article  Google Scholar 

• Üffinger M, Sadlo F, Ertl T (2013) A time-dependent vector field topology based on streak surfaces. IEEE Trans Vis Comput Graph 19(3):379–392

  Article  Google Scholar 

• Weinkauf T, Sahner J, Theisel H, Hege HC (2007) Cores of swirling particle motion in unsteady flows. IEEE Trans Vis Comput Graph 13(6):1759–1766

  Article  Google Scholar 

• Weinkauf T, Theisel H, Sorkine O (2012) Cusps of characteristic curves and intersection-aware visualization of path and streak lines. In: Topological Methods in Data Analysis and Visualization II, Mathematics and Visualization. Springer, pp 161–176

• Wiebel A, Tricoche X, Schneider D, Jänicke H, Scheuermann G (2007) Generalized streak lines: Analysis and visualization of boundary induced vortices. IEEE Trans Vis Comput Graph 13(6):1735–1742

  Article  Google Scholar 

• Ye X, Kao D, Pang A (2005) Strategy for scalable seeding of 3D streamlines. In: Proceedings of IEEE Visualization, pp 471–478

Download references