@misc{ReininghausKastenWeinkaufetal., author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-12151}, number = {11-02}, abstract = {We propose a combinatorial algorithm to track critical points of 2D time-dependent scalar fields. Existing tracking algorithms such as Feature Flow Fields apply numerical schemes utilizing derivatives of the data, which makes them prone to noise and involve a large number of computational parameters. In contrast, our method is robust against noise since it does not require derivatives, interpolation, and numerical integration. Furthermore, we propose an importance measure that combines the spatial persistence of a critical point with its temporal evolution. This leads to a time-aware feature hierarchy, which allows us to discriminate important from spurious features. Our method requires only a single, easy-to-tune computational parameter and is naturally formulated in an out-of-core fashion, which enables the analysis of large data sets. We apply our method to a number of data sets and compare it to the stabilized continuous Feature Flow Field tracking algorithm.}, language = {en} } @article{HegeKastenHotz2011, author = {Hege, Hans-Christian and Kasten, Jens and Hotz, Ingrid}, title = {Distillation and Visualization of Spatiotemporal Structures in Turbulent Flow Fields}, series = {J. Phys.}, volume = {318}, journal = {J. Phys.}, edition = {6}, doi = {10.1088/1742-6596/318/6/062009}, pages = {062009}, year = {2011}, language = {en} } @phdthesis{Kasten2012, author = {Kasten, Jens}, title = {Lagrangian feature extraction in two-dimensional unsteady flows}, year = {2012}, language = {en} } @article{KastenReininghausHotzetal.2011, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian}, title = {Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude}, series = {IEEE Transactions on Visualization and Computer Graphics}, volume = {17}, journal = {IEEE Transactions on Visualization and Computer Graphics}, number = {12}, pages = {2080 -- 2087target}, year = {2011}, language = {en} } @article{ReininghausKotavaGuentheretal.2011, author = {Reininghaus, Jan and Kotava, N. and G{\"u}nther, David and Kasten, Jens and Hagen, Hans and Hotz, Ingrid}, title = {A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields}, series = {Visualization and Computer Graphics, IEEE Transactions on}, volume = {17}, journal = {Visualization and Computer Graphics, IEEE Transactions on}, number = {12}, doi = {10.1109/TVCG.2011.159}, pages = {2045 -- 2052}, year = {2011}, language = {en} } @article{LacarellePMoeckPaschereitetal.2010, author = {Lacarelle, Arnaud and P. Moeck, Jonas and Paschereit, Christian and Gelbert, Gregor and King, Rudibert and M. Luchtenburg, Dirk and Noack, Bernd R. and Kasten, Jens and Hege, Hans-Christian}, title = {Modeling a Fuel/Air Mixing to Control the Pressure Pulsations and NOx Emissions in a Lean Premixed Combustor}, series = {Active Flow Control II}, volume = {108}, journal = {Active Flow Control II}, publisher = {Springer, Berlin}, doi = {10.1007/978-3-642-11735-0_20}, pages = {307 -- 321}, year = {2010}, language = {en} } @incollection{KastenWeinkaufPetzetal.2010, author = {Kasten, Jens and Weinkauf, Tino and Petz, Christoph and Hotz, Ingrid and Noack, Bernd R. and Hege, Hans-Christian}, title = {Extraction of Coherent Structures from Natural and Actuated Flows}, series = {Active Flow Control II}, volume = {108}, booktitle = {Active Flow Control II}, publisher = {Springer, Berlin}, isbn = {978-3-642-11734-3}, doi = {10.1007/978-3-642-11735-0_24}, pages = {373 -- 387}, year = {2010}, language = {en} } @inproceedings{KochWiebelKastenetal.2013, author = {Koch, Stefan and Wiebel, Alexander and Kasten, Jens and Hlawitschka, Mario}, title = {Visualizing Linear Neighborhoods in Non-Linear Vector Fields}, series = {Proceedings of the IEEE Pacific Visualization Symposium}, booktitle = {Proceedings of the IEEE Pacific Visualization Symposium}, address = {Sydney, Australia}, pages = {249 -- 256}, year = {2013}, language = {en} } @inproceedings{AuerKastenKratzetal.2013, author = {Auer, Cornelia and Kasten, Jens and Kratz, Andrea and Zhang, Eugene and Hotz, Ingrid}, title = {Automatic, Tensor-Guided Illustrative Vector Field Visualization}, series = {Proc. IEEE Pacific Visualization Symposium 2013}, booktitle = {Proc. IEEE Pacific Visualization Symposium 2013}, address = {Sydney, Australia}, doi = {10.1109/PacificVis.2013.6596154}, pages = {265 -- 275}, year = {2013}, language = {en} } @article{KastenReininghausHotzetal.2016, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, series = {Archives of Mechanics}, volume = {68}, journal = {Archives of Mechanics}, number = {1}, pages = {55 -- 80}, year = {2016}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @misc{KastenReininghausHotzetal., author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58397}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @misc{KastenHotzHege, author = {Kasten, Jens and Hotz, Ingrid and Hege, Hans-Christian}, title = {On the Elusive Concept of Lagrangian Coherent Structures}, series = {Topological Methods in Data Analysis and Visualization II}, journal = {Topological Methods in Data Analysis and Visualization II}, editor = {Peikert, Ronald and Hauser, Helwig and Carr, Hamish and Fuchs, Raphael}, publisher = {Springer}, doi = {10.1007/978-3-642-23175-9_14}, pages = {207 -- 220}, language = {en} } @misc{KastenReininghausOberleithneretal.2010, author = {Kasten, Jens and Reininghaus, Jan and Oberleithner, Kilian and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {Flow over a Cavity - Evolution of the Vortex Skeleton}, publisher = {Visualization at 28th Annual Gallery of Fluid Motion exhibit, held at the 63th Annual Meeting of the American Physical Society, Division of Fluid Dynamics (Long Beach, CA, USA, November 21-23, 2010).}, year = {2010}, language = {en} } @article{KastenPetzHotzetal.2010, author = {Kasten, Jens and Petz, Christoph and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Tadmor, Gilead}, title = {Lagrangian Feature Extraction of the Cylinder Wake}, series = {Physics of Fluids}, volume = {22}, journal = {Physics of Fluids}, number = {9}, doi = {10.1063/1.3483220}, pages = {091108}, year = {2010}, language = {en} } @misc{KastenHotzNoacketal.2011, author = {Kasten, Jens and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {On the Extraction of Long-living Features in Unsteady Fluid Flows}, series = {Topological Methods in Data Analysis and Visualization}, journal = {Topological Methods in Data Analysis and Visualization}, editor = {Pascucci, Valerio and Tricoche, Xavier and Hagen, Hans and Tierny, Julien}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_10}, pages = {115 -- 126}, year = {2011}, language = {en} } @article{PetzKastenProhaskaetal.2009, author = {Petz, Christoph and Kasten, Jens and Prohaska, Steffen and Hege, Hans-Christian}, title = {Hierarchical Vortex Regions in Swirling Flow}, series = {Computer Graphics Forum}, volume = {28}, journal = {Computer Graphics Forum}, number = {3}, pages = {863 -- 870}, year = {2009}, language = {en} } @inproceedings{KastenPetzHotzetal.2009, author = {Kasten, Jens and Petz, Christoph and Hotz, Ingrid and Noack, Bernd R. and Hege, Hans-Christian}, title = {Localized Finite-time Lyapunov Exponent for Unsteady Flow Analysis}, series = {Vision Modeling and Visualization}, volume = {1}, booktitle = {Vision Modeling and Visualization}, editor = {Magnor, Marcus and Rosenhahn, Bodo and Theisel, Holger}, publisher = {Universit{\"a}t Magdeburg, Inst. f. Simulation u. Graph.}, isbn = {978-3-9804874-8-1}, pages = {265 -- 274}, year = {2009}, language = {en} } @inproceedings{KastenZoufahlHegeetal., author = {Kasten, Jens and Zoufahl, Andre and Hege, Hans-Christian and Hotz, Ingrid}, title = {Analysis of Vortex Merge Graphs}, series = {VMV 2012: Vision, Modeling and Visualization}, booktitle = {VMV 2012: Vision, Modeling and Visualization}, publisher = {Eurographics Association}, doi = {10.2312/PE/VMV/VMV12/111-118}, pages = {111 -- 118}, language = {en} } @inproceedings{KastenHotzNoacketal.2012, author = {Kasten, Jens and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {Vortex Merge Graphs in Two-dimensional Unsteady Flow Fields}, series = {EuroVis - Short Papers}, booktitle = {EuroVis - Short Papers}, publisher = {Eurographics Association}, address = {Vienna, Austria}, doi = {10.2312/PE/EuroVisShort/EuroVisShort2012/001-005}, pages = {1 -- 5}, year = {2012}, language = {en} } @article{ReininghausKastenWeinkaufetal.2012, author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Efficient Computation of Combinatorial Feature Flow Fields}, series = {Transactions on Visualization and Computer Graphics}, volume = {18}, journal = {Transactions on Visualization and Computer Graphics}, number = {9}, doi = {10.1109/TVCG.2011.269}, pages = {1563 -- 1573}, year = {2012}, language = {en} } @misc{SchlechteBlomeGerberetal., author = {Schlechte, Thomas and Blome, Christian and Gerber, Stefan and Hauser, Stefan and Kasten, Jens and M{\"u}ller, Gilbert and Schulz, Christof and Th{\"u}ring, Michel and Weider, Steffen}, title = {The Bouquet of Features in Rolling Stock Rotation Planning}, series = {Conference Proceedings RailBelgrade 2023}, journal = {Conference Proceedings RailBelgrade 2023}, abstract = {Rolling stock is one of the major assets for a railway transportation company. Hence, their utilization should be as efficiently and effectively as possible. Railway undertakings are facing rolling stock scheduling challenges in different forms - from rather idealized weekly strategic problems to very concrete operational ones. Thus, a vast of optimization models with different features and objectives exist. Thorlacius et al. (2015) provides a comprehensive and valuable collection on technical requirements, models, and methods considered in the scientific literature. We contribute with an update including recent works. The main focus of the paper is to present a classification and elaboration of the major features which our solver R-OPT is able to handle. Moreover, the basic optimization model and algorithmic ingredients of R-OPT are discussed. Finally, we present computational results for a cargo application at SBB CARGO AG and other railway undertakings for passenger traffic in Europe to show the capabilities of R-OPT.}, language = {en} }