Vector Field Visualization

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R. Fuchs, R. Peikert, H. Hauser, F. Sadlo, P. Muigg:

Parallel Vectors Criteria for Unsteady Flow Vortices

IEEE Transactions on Visualization and Computer Graphics, vol. 14, no. 3, pp. 615–626, 2008.

Abstract

Feature-based flow visualization is naturally dependent on feature extraction. To extract flow features, often higher order properties of the flow data are used such as the Jacobian or curvature properties, implicitly describing the flow features in terms of their inherent flow characteristics (for example, collinear flow and vorticity vectors). In this paper, we present recent research that leads to the (not really surprising) conclusion that feature extraction algorithms need to be extended to a time-dependent analysis framework (in terms of time derivatives) when dealing with unsteady flow data. Accordingly, we present two extensions of the parallel-vectors-based vortex extraction criteria to the time-dependent domain and show the improvements of feature-based flow visualization in comparison to the steady versions of this extraction algorithm both in the context of a high-resolution data set, that is, a simulation specifically designed to evaluate our new approach and for a real-world data set from a concrete application.

Available Files

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Publications

To Appear
Reviewed Journal Papers
L. Hofmann, F. Sadlo:
The Dependent Vectors Operator
Computer Graphics Forum, to appear.
Available files: [BibTeX] [PDF] [Highres PDF] [Video] [Details]

B. Zheng, B. Rieck, H. Leitte, F. Sadlo:
Visualization of Equivalence in 2D Bivariate Fields
Computer Graphics Forum, to appear.
Available files: [BibTeX] [PDF] [Highres PDF] [Video] [Details]

Reviewed Conference Papers
K. Hanser, S. Meggendorfer, P. Hügel, F. Fallenbüchel, H. M. Fahad, F. Sadlo:
Energy-Based Visualization of 2D Flow Fields
In Proceedings of International Conference on Information Visualization Theory and Applications (IVAPP), to appear.
Available files: [BibTeX] [PDF] [Highres PDF] [Slides] [Details]

2018
Reviewed Journal Papers
L. Hofmann, B. Rieck, F. Sadlo:
Visualization of 4D Vector Field Topology
Computer Graphics Forum, vol. 37, no. 3, pp. 301–313, 2018.
Available files: [BibTeX] [DOI] [PDF] [Highres PDF] [Video] [Video] [Slides] [Details]

G. K. Karch, F. Beck, M. Ertl, C. Meister, K. Schulte, B. Weigand, T. Ertl, F. Sadlo:
Visual Analysis of Inclusion Dynamics in Two-Phase Flow
IEEE Transactions on Visualization and Computer Graphics, vol. 24, no. 5, pp. 1841–1855, 2018.
Available files: [BibTeX] [DOI] [Details]

M. Kern, T. Hewson, F. Sadlo, R. Westermann, M. Rautenhaus:
Robust Detection and Visualization of Jet-stream Core Lines in Atmospheric Flow
IEEE Transactions on Visualization and Computer Graphics, vol. 24, no. 1, pp. 893–902, 2018.
Available files: [BibTeX] [DOI] [Details]

Reviewed Conference Papers
K. Hanser, O. Klein, B. Rieck, B. Wiebe, T. Selz, M. Piatkowski, A. Sagristà, B. Zheng, M. Lukácová, G. Craig, H. Leitte, F. Sadlo:
Visualization of Parameter Sensitivity of 2D Time-Dependent Flow
In Lecture Notes in Computer Science: Advances in Visual Computing (Proceedings of International Symposium on Visual Computing), pp. 359–370, 2018.
Available files: [BibTeX] [DOI] [PDF] [Highres PDF] [Slides] [Details]

K. Sdeo, B. Rieck, F. Sadlo:
Visualization of Fullerene Fragmentation
In Short Paper Proceedings of IEEE Pacific Visualization Symposium (PacificVIS), pp. 111–115, 2018.
Available files: [BibTeX] [DOI] [PDF] [Details]

K. Sdeo, B. Zheng, M. Piatkowski, F. Sadlo:
In-Situ Visualization of Solver Residual Fields
In Lecture Notes in Computer Science: High Performance Computing, pp. 294–309, 2018.
Available files: [BibTeX] [DOI] [PDF] [Highres PDF] [Details]

2017
Reviewed Journal Papers
F. Hempert, S. Boblest, T. Ertl, F. Sadlo, P. Offenhäuser, C. W. Glass, M. Hoffmann, A. Beck, C.-D. Munz, U. Iben:
Simulation of Real Gas Effects in Supersonic Methane Jets Using a Tabulated Equation of State with a Discontinuous Galerkin Spectral Element Method
Computers & Fluids, vol. 145, pp. 167–179, 2017.
Available files: [BibTeX] [DOI] [Details]

A. Sagristà, S. Jordan, A. Just, F. Dias, L. G. Nonato, F. Sadlo:
Topological Analysis of Inertial Dynamics
IEEE Transactions on Visualization and Computer Graphics, vol. 23, no. 1, pp. 950–959, 2017.
Available files: [BibTeX] [DOI] [PDF] [Highres PDF] [Technical Addendum] [Video] [Details]

Reviewed Conference Papers
P. Jung, P. Hausner, L. Pilz, J. Stern, C. Euler, M. Riemer, F. Sadlo:
Tumble-Vortex Core Line Extraction
In Proceedings of SIBGRAPI WVIS, 2017.
Available files: [BibTeX] [PDF] [Details]

R. Peikert, G. M. Machado, F. Sadlo:
Topological Extraction of Escape Maps in Divergence-Free Vector Fields
In Topological Methods in Data Analysis and Visualization IV, Springer International Publishing, pp. 171–186, 2017.
Available files: [BibTeX] [DOI] [Details]

2016
Reviewed Journal Papers
G. K. Karch, F. Sadlo, D. Weiskopf, T. Ertl:
Visualization of 2D Unsteady Flow Using Streamline-Based Concepts in Space-Time
Journal of Visualization, vol. 19, no. 1, pp. 115–128, 2016.
Available files: [BibTeX] [DOI] [Details]

G. M. Machado, S. Boblest, T. Ertl, F. Sadlo:
Space-Time Bifurcation Lines for Extraction of 2D Lagrangian Coherent Structures
Computer Graphics Forum, vol. 35, no. 3, pp. 91–100, 2016.
Available files: [BibTeX] [DOI] [PDF] [Details]

Reviewed Conference Papers
S. Boblest, F. Hempert, M. Hoffmann, P. Offenhäuser, M. Sonntag, F. Sadlo, C. W. Glass, C.-D. Munz, T. Ertl, U. Iben:
Toward a Discontinuous Galerkin Fluid Dynamics Framework for Industrial Applications
In Proceedings of High Performance Computing in Science and Engineering 2015, Springer International Publishing, pp. 531–545, 2016.
Available files: [BibTeX] [DOI] [Details]

F. Hempert, S. Boblest, M. Hoffmann, P. Offenhäuser, F. Sadlo, C. W. Glass, C.-D. Munz, T. Ertl, U. Iben:
High-Pressure Real-Gas Jet and Throttle Flow as a Simplified Gas Injector Model Using a Discontinuous Galerkin Method
In Proceedings of High Performance Computing in Science and Engineering 2016, Springer International Publishing, pp. 289–300, 2016.
Available files: [BibTeX] [DOI] [Details]

2015
Reviewed Journal Papers
T. Müller, F. Sadlo:
Visual Exploration of 2D Autonomous Dynamical Systems
European Journal of Physics, vol. 36, no. 3, pp. 035007, 2015.
Available files: [BibTeX] [DOI] [Details]

Reviewed Conference Papers
F. Sadlo:
Lyapunov Time for 2D Lagrangian Visualization
In Topological and Statistical Methods for Complex Data, Springer Berlin Heidelberg, pp. 167–181, 2015.
Available files: [BibTeX] [DOI] [PDF] [Details]

Book Chapters and Other Publications
T. Bolemann, M. Üffinger, F. Sadlo, T. Ertl, C.-D. Munz:
Direct Visualization of Piecewise Polynomial Data
In IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach, Springer International Publishing, pp. 535–550, 2015.
Available files: [BibTeX] [DOI] [Details]

2014
Reviewed Journal Papers
M. Hlawatsch, F. Sadlo, H. Jang, D. Weiskopf:
Pathline Glyphs
Computer Graphics Forum, vol. 33, no. 2, pp. 497–506, 2014.
Available files: [BibTeX] [DOI] [PDF] [Video] [Details]

G. M. Machado, F. Sadlo, T. Müller, T. Ertl:
Escape Maps
IEEE Transactions on Visualization and Computer Graphics, vol. 20, no. 12, pp. 2604–2613, 2014.
Available files: [BibTeX] [DOI] [PDF] [Highres PDF] [Details]

Reviewed Conference Papers
G. K. Karch, F. Sadlo, D. Weiskopf, T. Ertl:
Streamline-Based Concepts for Space-Time Analysis of 2D Time-Dependent Flow
In Proceedings of International Symposium on Flow Visualization (ISFV16), 2014.
Available files: [BibTeX] [PDF] [Details]

G. M. Machado, F. Sadlo, T. Ertl:
Image-Based Streamsurfaces
In Proceedings of 27th SIBGRAPI Conference on Graphics, Patterns and Images, pp. 343–350, 2014.
Available files: [BibTeX] [DOI] [PDF] [Details]

R. Peikert, A. Pobitzer, F. Sadlo, B. Schindler:
A Comparison of Finite-Time and Finite-Size Lyapunov Exponents
In Topological Methods in Data Analysis and Visualization III, Springer International Publishing, pp. 187–200, 2014.
Available files: [BibTeX] [DOI] [PDF] [Details]

F. Sadlo, G. K. Karch, T. Ertl:
Topological Features in Time-Dependent Advection-Diffusion Flow
In Topological Methods in Data Analysis and Visualization III, Springer International Publishing, pp. 217–231, 2014.
Available files: [BibTeX] [DOI] [PDF] [Details]

Book Chapters and Other Publications
S. Boblest, C. W. Glass, P. Offenhäuser, F. Sadlo, M. Hoffmann:
HONK - Higher-Order Methods for the Simulation of Complex Flow Phenomena
Innovatives Supercomputing in Deutschland (inSiDE), Gauss Centre for Supercomputing, vol. 12, no. 2, pp. 67–71, 2014.
Available files: [BibTeX] [PDF]

2013
Reviewed Journal Papers
M. Üffinger, F. Sadlo, T. Ertl:
A Time-Dependent Vector Field Topology Based on Streak Surfaces
IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 3, pp. 379–392, 2013.
Available files: [BibTeX] [DOI] [PDF] [Video] [Video] [Details]

M. Hlawatsch, F. Sadlo, D. Weiskopf:
Predictability-Based Adaptive Mouse Interaction and Zooming for Visual Flow Exploration
International Journal for Uncertainty Quantification, vol. 3, no. 3, pp. 225–240, 2013.
Available files: [BibTeX] [DOI] [PDF] [Details]

Reviewed Conference Papers
M. Üffinger, F. Sadlo, C.-D. Munz, T. Ertl:
Toward Wall Function Consistent Interpolation of Flow Fields
In Short Paper Proceedings of EuroVis 2013, pp. 85–89, 2013.
Available files: [BibTeX] [DOI] [PDF] [Details]

G. K. Karch, F. Sadlo, P. Rauschenberger, C. Meister, K. Eisenschmidt, B. Weigand, T. Ertl:
Visualization of Piecewise Linear Interface Calculation
In Proceedings of IEEE Pacific Visualization Symposium (PacificVIS), pp. 121–128, 2013.
Available files: [BibTeX] [DOI] [PDF] [Details]

G. M. Machado, F. Sadlo, T. Ertl:
Local Extraction of Bifurcation Lines
In Proceedings of International Workshop on Vision, Modeling and Visualization (VMV), pp. 17–24, 2013.
Available files: [BibTeX] [DOI] [PDF] [Details]

F. Sadlo, S. Bachthaler, C. Dachsbacher, D. Weiskopf:
Space-Time Flow Visualization of Dynamics in 2D Lagrangian Coherent Structures
In Computer Vision, Imaging and Computer Graphics. Theory and Application, Springer Berlin Heidelberg, pp. 145–159, 2013.
Available files: [BibTeX] [DOI] [Details]

2012
Reviewed Journal Papers
S. Frey, F. Sadlo, T. Ertl:
Visualization of Temporal Similarity in Field Data
IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 12, pp. 2023–2032, 2012.
Available files: [BibTeX] [DOI] [PDF] [Details]

G. K. Karch, F. Sadlo, D. Weiskopf, C.-D. Munz, T. Ertl:
Visualization of Advection-Diffusion in Unsteady Fluid Flow
Computer Graphics Forum, vol. 31, no. 3, pp. 1105–1114, 2012.
Available files: [BibTeX] [DOI] [PDF] [Technical Addendum] [Video] [Details]

Reviewed Conference Papers
M. Üffinger, F. Sadlo, M. Kirby, C. Hansen, T. Ertl:
FTLE Computation Beyond First-Order Approximation
In Short Paper Proceedings of Eurographics 2012, pp. 61–64, 2012.
Available files: [BibTeX] [DOI] [PDF] [Details]

S. Bachthaler, F. Sadlo, C. Dachsbacher, D. Weiskopf:
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 (IVAPP), pp. 573–583, 2012.
Available files: [BibTeX] [PDF] [Details]

A. Panagiotidis, D. Kauker, F. Sadlo, T. Ertl:
Distributed Computation and Large-Scale Visualization in Heterogeneous Compute Environments
In Proceedings of 11th International Symposium on Parallel and Distributed Computing (ISPDC), pp. 87–94, 2012.
Available files: [BibTeX] [DOI] [Details]

F. Sadlo, M. Üffinger, T. Ertl, D. Weiskopf:
On the Finite-Time Scope for Computing Lagrangian Coherent Structures from Lyapunov Exponents
In Topological Methods in Data Analysis and Visualization II, Springer Berlin Heidelberg, pp. 269–281, 2012.
Available files: [BibTeX] [DOI] [PDF] [Slides] [Details]

Book Chapters and Other Publications
G. K. Karch, F. Sadlo, D. Weiskopf, C. D. Hansen, G.-S. Li, T. Ertl:
Dye-Based Flow Visualization
Computing in Science and Engineering, vol. 14, no. 6, pp. 80–86, 2012.
Available files: [BibTeX] [DOI] [Details]

2011
Reviewed Journal Papers
M. Hlawatsch, F. Sadlo, D. Weiskopf:
Hierarchical Line Integration
IEEE Transactions on Visualization and Computer Graphics, vol. 17, no. 8, pp. 1148–1163, 2011.
Available files: [BibTeX] [DOI] [PDF] [Slides] [Details]

C. Pagot, D. Osmari, F. Sadlo, D. Weiskopf, T. Ertl, J. Comba:
Efficient Parallel Vectors Feature Extraction from Higher-Order Data
Computer Graphics Forum, vol. 30, no. 3, pp. 751–760, 2011.
Available files: [BibTeX] [DOI] [Details]

Reviewed Conference Papers
M. Ament, S. Frey, F. Sadlo, T. Ertl, D. Weiskopf:
GPU-Based Two-Dimensional Flow Simulation Steering using Coherent Structures
In Proceedings of the Second International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering, 2011.
Available files: [BibTeX] [DOI] [PDF]

F. Sadlo, A. Rigazzi, R. Peikert:
Time-Dependent Visualization of Lagrangian Coherent Structures by Grid Advection
In Topological Methods in Data Analysis and Visualization, Springer Berlin Heidelberg, pp. 151–165, 2011.
Available files: [BibTeX] [DOI] [PDF] [Slides] [Details]

Book Chapters and Other Publications
F. Sadlo, M. Üffinger, C. Pagot, D. Osmari, J. Comba, T. Ertl, C.-D. Munz, D. Weiskopf:
Visualization of Cell-Based Higher-Order Fields
Computing in Science and Engineering, vol. 13, no. 3, pp. 84–91, 2011.
Available files: [BibTeX] [DOI] [Details]

2010
Reviewed Journal Papers
R. Fuchs, J. Kemmler, B. Schindler, J. Waser, F. Sadlo, H. Hauser, R. Peikert:
Toward a Lagrangian Vector Field Topology
Computer Graphics Forum, vol. 29, no. 3, pp. 1163–1172, 2010.
Available files: [BibTeX] [DOI] [PDF] [Details]

R. Peikert, F. Sadlo:
A Robust Stream Surface Method for the Visualization of Vector Field Singularities
Computer Graphics and Geometry, vol. 12, no. 2, pp. 2–13, 2010.
Available files: [BibTeX] [URL]

F. Sadlo, D. Weiskopf:
Time-Dependent 2-D Vector Field Topology: An Approach Inspired by Lagrangian Coherent Structures
Computer Graphics Forum, vol. 29, no. 1, pp. 88–100, 2010.
Available files: [BibTeX] [DOI] [PDF] [Slides] [Details]

Conference Papers with Reviewed Abstract
M. Falk, A. Seizinger, M. Üffinger, F. Sadlo, D. Weiskopf:
Trajectory-Augmented Visualization of Lagrangian Coherent Structures in Unsteady Flow
In Proceedings of International Symposium on Flow Visualization (ISFV14), 2010.
Available files: [BibTeX] [PDF]

2009
Reviewed Conference Papers
R. Peikert, F. Sadlo:
Flow Topology Beyond Skeletons: Visualization of Features in Recirculating Flow
In Topology-Based Methods in Visualization II, Springer Berlin Heidelberg, pp. 145–160, 2009.
Available files: [BibTeX] [DOI] [PDF] [Details]

R. Peikert, F. Sadlo:
Topologically Relevant Stream Surfaces for Flow Visualization
In Proceedings of 2009 Spring Conference on Computer Graphics, pp. 35–42, 2009.
Available files: [BibTeX] [DOI] [PDF] [Details]

F. Sadlo, R. Peikert:
Visualizing Lagrangian Coherent Structures and Comparison to Vector Field Topology
In Topology-Based Methods in Visualization II, Springer Berlin Heidelberg, pp. 15–29, 2009.
Available files: [BibTeX] [DOI] [PDF] [Details]

2008
Reviewed Journal Papers
R. Fuchs, R. Peikert, H. Hauser, F. Sadlo, P. Muigg:
Parallel Vectors Criteria for Unsteady Flow Vortices
IEEE Transactions on Visualization and Computer Graphics, vol. 14, no. 3, pp. 615–626, 2008.
Available files: [BibTeX] [DOI] [PDF] [Details]

Reviewed Conference Papers
R. Fuchs, R. Peikert, F. Sadlo, B. Alsallakh, E. Gröller:
Delocalized Unsteady Vortex Region Detectors
In Proceedings of International Workshop on Vision, Modeling and Visualization (VMV), pp. 81–90, 2008.
Available files: [BibTeX] [PDF]

2007
Reviewed Journal Papers
F. Sadlo, R. Peikert:
Efficient Visualization of Lagrangian Coherent Structures by Filtered AMR Ridge Extraction
IEEE Transactions on Visualization and Computer Graphics, vol. 13, no. 6, pp. 1456–1463, 2007.
Available files: [BibTeX] [DOI] [PDF] [Video] [Video] [Video] [Slides] [Details]

Reviewed Conference Papers
R. Peikert, F. Sadlo:
Topology-guided Visualization of Constrained Vector Fields
In Topology-Based Methods in Visualization, Springer Berlin Heidelberg, pp. 21–33, 2007.
Available files: [BibTeX] [DOI] [PDF] [Details]

R. Peikert, F. Sadlo:
Visualization Methods for Vortex Rings and Vortex Breakdown Bubbles
In Proceedings of the 9th Joint Eurographics / IEEE VGTC Conference on Visualization, pp. 211–218, 2007.
Available files: [BibTeX] [DOI] [PDF] [Details]

N. Thürey, F. Sadlo, S. Schirm, M. Müller-Fischer, M. Gross:
Real-time Simulations of Bubbles and Foam Within a Shallow Water Framework
In Proceedings of the 2007 ACM SIGGRAPH/Eurographics Symposium on Computer Animation, pp. 191–198, 2007.
Available files: [BibTeX] [URL] [PDF] [Video] [Video] [Details]

2006
Reviewed Journal Papers
F. Sadlo, R. Peikert, M. Sick:
Visualization Tools for Vorticity Transport Analysis in Incompressible Flow
IEEE Transactions on Visualization and Computer Graphics, vol. 12, no. 5, pp. 949–956, 2006.
Available files: [BibTeX] [DOI] [PDF] [Video] [Video] [Slides] [Details]

2005
Reviewed Conference Papers
O. Mallo, R. Peikert, C. Sigg, F. Sadlo:
Illuminated Lines Revisited
In Proceedings of IEEE Visualization (VIS), pp. 19–26, 2005.
Available files: [BibTeX] [DOI] [PDF] [Details]

2004
Reviewed Conference Papers
F. Sadlo, R. Peikert, E. Parkinson:
Vorticity Based Flow Analysis and Visualization for Pelton Turbine Design Optimization
In Proceedings of IEEE Visualization (VIS), pp. 179–186, 2004.
Available files: [BibTeX] [DOI] [PDF] [Video] [Slides] [Details]

Theses

2010
F. Sadlo:
Computational Visualization of Physics and Topology in Unsteady Flow
PhD Dissertation No. 19284, ETH Zurich, 2010.
Available files: [BibTeX] [DOI] [PDF]