TY - GEN A1 - Sakurai, Daisuke A1 - Ono, Kenji A1 - Carr, Hamish A1 - Nonaka, Jorji A1 - Kawanabe, Tomohiro ED - Carr, Hamish ED - Fujishiro, Issei ED - Sadlo, Filip ED - Takahashi, Shigeo T1 - Flexible Fiber Surfaces: A Reeb-Free Approach T2 - Topological Methods in Data Analysis and Visualization V N2 - The fiber surface generalizes the popular isosurface to multi-fields, so that pre-images can be visualized as surfaces. As with the isosurface, however, the fiber surface suffers from visual occlusion. We propose to avoid such occlusion by restricting the components to only the relevant ones with a new component-wise flexing algorithm. The approach, flexible fiber surface, generalizes the manipulation idea found in the flexible isosurface for the fiber surface. The flexible isosurface in the original form, however, relies on the contour tree. For the fiber surface, this corresponds to the Reeb space, which is challenging for both the computation and user interaction. We thus take a Reeb-free approach, in which one does not compute the Reeb space. Under this constraint, we generalize a few selected interactions in the flexible isosurface and discuss the implication of the restriction. Y1 - 2019 PB - Springer ER - TY - GEN A1 - Sakurai, Daisuke A1 - Ono, Kenji A1 - Carr, Hamish A1 - Nonaka, Jorji A1 - Kawanabe, Tomohiro T1 - Flexible Fiber Surfaces: A Reeb-Free Approach N2 - The fiber surface generalizes the popular isosurface to multi-fields, so that pre-images can be visualized as surfaces. As with the isosurface, however, the fiber surface suffers from visual occlusion. We propose to avoid such occlusion by restricting the components to only the relevant ones with a new component-wise flexing algorithm. The approach, flexible fiber surface, generalizes the manipulation idea found in the flexible isosurface for the fiber surface. The flexible isosurface in the original form, however, relies on the contour tree. For the fiber surface, this corresponds to the Reeb space, which is challenging for both the computation and user interaction. We thus take a Reeb-free approach, in which one does not compute the Reeb space. Under this constraint, we generalize a few selected interactions in the flexible isosurface and discuss the implication of the restriction. T3 - ZIB-Report - 19-09 Y1 - 2019 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-72599 SN - 1438-0064 ER - TY - GEN A1 - Sakurai, Daisuke A1 - Hege, Hans-Christian A1 - Kuhn, Alexander A1 - Rust, Henning A1 - Kern, Bastian A1 - Breitkopf, Tom-Lukas T1 - An Application-Oriented Framework for Feature Tracking in Atmospheric Sciences N2 - In atmospheric sciences, sizes of data sets grow continuously due to increasing resolutions. A central task is the comparison of spatiotemporal fields, to assess different simulations and to compare simulations with observations. A significant information reduction is possible by focusing on geometric-topological features of the fields or on derived meteorological objects. Due to the huge size of the data sets, spatial features have to be extracted in time slices and traced over time. Fields with chaotic component, i.e. without 1:1 spatiotemporal correspondences, can be compared by looking upon statistics of feature properties. Feature extraction, however, requires a clear mathematical definition of the features – which many meteorological objects still lack. Traditionally, object extractions are often heuristic, defined only by implemented algorithms, and thus are not comparable. This work surveys our framework designed for efficient development of feature tracking methods and for testing new feature definitions. The framework supports well-established visualization practices and is being used by atmospheric researchers to diagnose and compare data. T3 - ZIB-Report - 17-50 Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-72617 SN - 1438-0064 ER - TY - JOUR A1 - Kuhn, Alexander A1 - Engelke, Wito A1 - Rössl, Christian A1 - Hadwiger, Markus A1 - Theisel, Holger T1 - Time Line Cell Tracking for the Approximation of Lagrangian Coherent Structures with Subgrid Accuracy JF - Computer Graphics Forum Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-43990 SN - 0934-5892 VL - 33 SP - 222 EP - 234 PB - Wiley Blackwell ER - TY - GEN A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Hege, Hans-Christian A1 - Theisel, Holger T1 - MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields N2 - Traditionally, Lagrangian fields such as finite-time Lyapunov exponents (FTLE) are precomputed on a discrete grid and are ray casted afterwards. This, however, introduces both grid discretization errors and sampling errors during ray marching. In this work, we apply a progressive, view-dependent Monte Carlo-based approach for the visualization of such Lagrangian fields in time-dependent flows. Our ap- proach avoids grid discretization and ray marching errors completely, is consistent, and has a low memory consumption. The system provides noisy previews that con- verge over time to an accurate high-quality visualization. Compared to traditional approaches, the proposed system avoids explicitly predefined fieldline seeding structures, and uses a Monte Carlo sampling strategy named Woodcock tracking to distribute samples along the view ray. An acceleration of this sampling strategy requires local upper bounds for the FTLE values, which we progressively acquire during the rendering. Our approach is tailored for high-quality visualizations of complex FTLE fields and is guaranteed to faithfully represent detailed ridge surface structures as indicators for Lagrangian coherent structures (LCS). We demonstrate the effectiveness of our approach by using a set of analytic test cases and real-world numerical simulations. T3 - ZIB-Report - 16-21 KW - Picture/Image Generation, Display algorithms, Three-Dimensional Graphics and Realism, Raytracing Y1 - 2016 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-59054 SN - 1438-0064 N1 - By mistake the fourth author Hans-Christian Hege has been ommitted in the journal publication ER - TY - CHAP A1 - Sakurai, Daisuke A1 - Hege, Hans-Christian A1 - Kuhn, Alexander A1 - Rust, Henning A1 - Kern, Bastian A1 - Breitkopf, Tom-Lukas T1 - An Application-Oriented Framework for Feature Tracking in Atmospheric Sciences T2 - Proceedings of 2017 IEEE 7th Symposium on Large Data Analysis and Visualization (LDAV) N2 - In atmospheric sciences, sizes of data sets grow continuously due to increasing resolutions. A central task is the comparison of spatiotemporal fields, to assess different simulations and to compare simulations with observations. A significant information reduction is possible by focusing on geometric-topological features of the fields or on derived meteorological objects. Due to the huge size of the data sets, spatial features have to be extracted in time slices and traced over time. Fields with chaotic component, i.e. without 1:1 spatiotemporal correspondences, can be compared by looking upon statistics of feature properties. Feature extraction, however, requires a clear mathematical definition of the features - which many meteorological objects still lack. Traditionally, object extractions are often heuristic, defined only by implemented algorithms, and thus are not comparable. This work surveys our framework designed for efficient development of feature tracking methods and for testing new feature definitions. The framework supports well-established visualization practices and is being used by atmospheric researchers to diagnose and compare data. Y1 - 2017 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-66685 SP - 96 EP - 97 ER - TY - JOUR A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Hege, Hans-Christian A1 - Gross, Markus A1 - Theisel, Holger T1 - Progressive Monte Carlo rendering of atmospheric flow features across scales JF - Physical Review Fluids N2 - To improve existing weather prediction and reanalysis capabilities, high-resolution and multi-modal climate data becomes an increasingly important topic. The advent of increasingly dense numerical simulation of atmospheric phenomena, provides new means to better understand dynamic processes and to visualize structural flow patterns that remain hidden otherwise. In the presented illustrations we demonstrate an advanced technique to visualize multiple scales of dense flow fields and Lagrangian patterns therein, simulated by state-of-the-art simulation models for each scale. They provide a deeper insight into the structural differences and patterns that occur on each scale and highlight the complexity of flow phenomena in our atmosphere. This paper is associated with a poster winner of a 2016 APS/DFD Milton van Dyke Award for work presented at the DFD Gallery of Fluid Motion. The original poster is available from the Gallery of Fluid Motion, https://doi.org/10.1103/APS.DFD.2016.GFM.P0030 Y1 - 2017 U6 - https://doi.org/10.1103/PhysRevFluids.2.090502 VL - 2 SP - 09050-1 EP - 09050-3 ER - TY - CHAP A1 - Kuhn, Alexander A1 - Lindow, Norbert A1 - Günther, Tobias A1 - Wiebel, Alexander A1 - Theisel, Holger A1 - Hege, Hans-Christian T1 - Trajectory Density Projection for Vector Field Visualization T2 - EuroVis 2013, short papers. M. Hlawitschka, Tino Weinkauf (eds.) Y1 - 2013 UR - http://vc.cs.ovgu.de/files/publications/2013/Kuhn_2013_EUROVIS.pdf U6 - https://doi.org/10.2312/PE.EuroVisShort.EuroVisShort2013.031-035 SP - 31 EP - 35 ER - TY - JOUR A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Kutz, Benjamin A1 - Theisel, Holger T1 - Mass-Dependent Integral Curves in Unsteady Vector Fields JF - Computer Graphics Forum Y1 - 2013 U6 - https://doi.org/10.1111/cgf.12108 VL - 32 SP - 211 EP - 220 ER - TY - JOUR A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Hege, Hans-Christian A1 - Theisel, Holger T1 - MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields JF - Computer Graphics Forum Y1 - 2016 U6 - https://doi.org/10.1111/cgf.12914 N1 - By mistake the fourth author Hans-Christian Hege has been ommitted in the journal publication VL - 35 IS - 3 SP - 381 EP - 390 ER -