Uncertainty Visualization of 2D Morse Complex Ensembles Using Statistical Summary Maps

Athawale, Tushar M.; Maljovec, Dan; Yan, Lin; Johnson, Chris R.; Pascucci, Valerio; Wang, Bei

doi:10.1109/tvcg.2020.3022359

Uncertainty Visualization of 2D Morse Complex Ensembles Using Statistical Summary Maps

Journal Article · 01 April 2022 · IEEE Transactions on Visualization and Computer Graphics

DOI:https://doi.org/10.1109/tvcg.2020.3022359· OSTI ID:1980600

; Maljovec, Dan; ; ; Pascucci, Valerio;

Not provided.

Research Organization:: Univ. of Utah, Salt Lake City, UT (United States)

Sponsoring Organization:: USDOE Office of Fossil Energy (FE)

DOE Contract Number:: FE0031880

OSTI ID:: 1980600

Journal Information:: IEEE Transactions on Visualization and Computer Graphics, Vol. 28, Issue 4; ISSN 1077-2626

Publisher:: IEEE

Country of Publication:: United States

Language:: English

References (52)

Flow Visualization with Quantified Spatial and Temporal Errors Using Edge Maps Bhatia, H.; Jadhav, S.; Bremer, P. IEEE Transactions on Visualization and Computer Graphics, Vol. 18, Issue 9 https://doi.org/10.1109/TVCG.2011.265	journal	September 2012
Uncertain topology of 3D vector fields Otto, Mathias; Germer, Tobias; Theisel, Holger 2011 IEEE Pacific Visualization Symposium (PacificVis) https://doi.org/10.1109/PACIFICVIS.2011.5742374	conference	March 2011
Critical Points of Gaussian-Distributed Scalar Fields on Simplicial Grids Liebmann, T.; Scheuermann, G. Computer Graphics Forum, Vol. 35, Issue 3 https://doi.org/10.1111/cgf.12912	journal	June 2016
Visualizing the stability of critical points in uncertain scalar fields Mihai, Mihaela; Westermann, Rüdiger Computers & Graphics, Vol. 41 https://doi.org/10.1016/j.cag.2014.01.007	journal	June 2014
Morse Theory for Cell Complexes Forman, Robin Advances in Mathematics, Vol. 134, Issue 1 https://doi.org/10.1006/aima.1997.1650	journal	March 1998
Uncertain 2D Vector Field Topology Otto, Mathias; Germer, Tobias; Hege, Hans-Christian Computer Graphics Forum, Vol. 29, Issue 2 https://doi.org/10.1111/j.1467-8659.2009.01604.x	journal	May 2010
Visualizing the Variability of Gradients in Uncertain 2D Scalar Fields Pfaffelmoser, Tobias; Mihai, Mihaela; Westermann, Rudiger IEEE Transactions on Visualization and Computer Graphics, Vol. 19, Issue 11 https://doi.org/10.1109/TVCG.2013.92	journal	November 2013
Persistence Atlas for Critical Point Variability in Ensembles Favelier, Guillaume; Faraj, Noura; Summa, Brian IEEE Transactions on Visualization and Computer Graphics, Vol. 25, Issue 1 https://doi.org/10.1109/TVCG.2018.2864432	journal	January 2019
Towards Multifield Scalar Topology Based on Pareto Optimality Huettenberger, L.; Heine, C.; Carr, H. Computer Graphics Forum, Vol. 32, Issue 3pt3 https://doi.org/10.1111/cgf.12121	journal	June 2013
Smoke Surfaces: An Interactive Flow Visualization Technique Inspired by Real-World Flow Experiments von Funck, W.; Weinkauf, T.; Theisel, H. IEEE Transactions on Visualization and Computer Graphics, Vol. 14, Issue 6 https://doi.org/10.1109/TVCG.2008.163	journal	November 2008
A MITgcm/DART ensemble analysis and prediction system with application to the Gulf of Mexico Hoteit, Ibrahim; Hoar, Tim; Gopalakrishnan, Ganesh Dynamics of Atmospheres and Oceans, Vol. 63 https://doi.org/10.1016/j.dynatmoce.2013.03.002	journal	September 2013
Three‐Dimensional Signature of the Red Sea Eddies and Eddy‐Induced Transport Zhan, Peng; Krokos, George; Guo, Daquan Geophysical Research Letters, Vol. 46, Issue 4 https://doi.org/10.1029/2018GL081387	journal	February 2019
Hierarchical morse complexes for piecewise linear 2-manifolds Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra Proceedings of the seventeenth annual symposium on Computational geometry - SCG '01 https://doi.org/10.1145/378583.378626	conference	January 2001
Morse-smale complexes for piecewise linear 3-manifolds Edelsbrunner, Herbert; Harer, John; Natarajan, Vijay Proceedings of the nineteenth conference on Computational geometry - SCG '03 https://doi.org/10.1145/777792.777846	conference	January 2003
A Review of Uncertainty in Data Visualization Brodlie, Ken; Allendes Osorio, Rodolfo; Lopes, Adriano Expanding the Frontiers of Visual Analytics and Visualization https://doi.org/10.1007/978-1-4471-2804-5_6	book	January 2012
Overview and State-of-the-Art of Uncertainty Visualization Bonneau, Georges-Pierre; Hege, Hans-Christian; Johnson, Chris R. Mathematics and Visualization https://doi.org/10.1007/978-1-4471-6497-5_1	book	January 2014
A Structural Average of Labeled Merge Trees for Uncertainty Visualization Yan, Lin; Wang, Yusu; Munch, Elizabeth IEEE Transactions on Visualization and Computer Graphics, Vol. 26, Issue 1 https://doi.org/10.1109/TVCG.2019.2934242	journal	January 2020
Topological Persistence and Simplification No authors listed Discrete & Computational Geometry, Vol. 28, Issue 4 https://doi.org/10.1007/s00454-002-2885-2	journal	November 2002
Mandatory Critical Points of 2D Uncertain Scalar Fields: Mandatory Critical Points of 2D Uncertain Scalar Fields Günther, David; Salmon, Joseph; Tierny, Julien Computer Graphics Forum, Vol. 33, Issue 3 https://doi.org/10.1111/cgf.12359	journal	June 2014
Interactive Visualization of Probability and Cumulative Density Functions Potter, Kristin; Kirby, Robert Michael; Xiu, Dongbin International Journal for Uncertainty Quantification, Vol. 2, Issue 4 https://doi.org/10.1615/Int.J.UncertaintyQuantification.2012004074	journal	January 2012
Efficient Computation of Combinatorial Feature Flow Fields Reininghaus, J.; Kasten, J.; Weinkauf, T. IEEE Transactions on Visualization and Computer Graphics, Vol. 18, Issue 9 https://doi.org/10.1109/TVCG.2011.269	journal	September 2012
Multi-Charts for Comparative 3D Ensemble Visualization Demir, Ismail; Dick, Christian; Westermann, Rudiger IEEE Transactions on Visualization and Computer Graphics, Vol. 20, Issue 12 https://doi.org/10.1109/TVCG.2014.2346448	journal	December 2014
Dynamic Volume Lines: Visual Comparison of 3D Volumes through Space-filling Curves Weissenbock, Johannes; Frohler, Bernhard; Groller, Eduard IEEE Transactions on Visualization and Computer Graphics, Vol. 25, Issue 1 https://doi.org/10.1109/TVCG.2018.2864510	journal	January 2019
The Subseasonal to Seasonal (S2S) Prediction Project Database Vitart, F.; Ardilouze, C.; Bonet, A. Bulletin of the American Meteorological Society, Vol. 98, Issue 1 https://doi.org/10.1175/BAMS-D-16-0017.1	journal	January 2017
A Mathematical Theory of Communication Shannon, C. E. Bell System Technical Journal, Vol. 27, Issue 3 https://doi.org/10.1002/j.1538-7305.1948.tb01338.x	journal	July 1948
$$\mathrm{ND}^2\mathrm{AV}$$ ND 2 AV : N-dimensional data analysis and visualization analysis for the National Ignition Campaign Bremer, Peer-Timo; Maljovec, Dan; Saha, Avishek Computing and Visualization in Science, Vol. 17, Issue 1 https://doi.org/10.1007/s00791-015-0241-3	journal	February 2015
Visual Exploration of High Dimensional Scalar Functions Gerber, S.; Bremer, P.; Pascucci, V. IEEE Transactions on Visualization and Computer Graphics, Vol. 16, Issue 6 https://doi.org/10.1109/TVCG.2010.213	journal	November 2010
Simulation of simplicity: a technique to cope with degenerate cases in geometric algorithms Edelsbrunner, Herbert; Mücke, Ernst Peter ACM Transactions on Graphics, Vol. 9, Issue 1 https://doi.org/10.1145/77635.77639	journal	January 1990
A Statistical Direct Volume Rendering Framework for Visualization of Uncertain Data Sakhaee, Elham; Entezari, Alireza IEEE Transactions on Visualization and Computer Graphics, Vol. 23, Issue 12 https://doi.org/10.1109/TVCG.2016.2637333	journal	December 2017
On Gradient Dynamical Systems Smale, Stephen The Annals of Mathematics, Vol. 74, Issue 1 https://doi.org/10.2307/1970311	journal	July 1961
Analyzing and Tracking Burning Structures in Lean Premixed Hydrogen Flames Bremer, P. -T.; Weber, G. H.; Pascucci, V. IEEE Transactions on Visualization and Computer Graphics, Vol. 16, Issue 2 https://doi.org/10.1109/TVCG.2009.69	journal	March 2010
Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities Laney, D.; Bremer, P. -t.; Mascarenhas, A. IEEE Transactions on Visualization and Computer Graphics, Vol. 12, Issue 5 https://doi.org/10.1109/TVCG.2006.186	journal	September 2006
Morse–Smale Regression Gerber, Samuel; Rübel, Oliver; Bremer, Peer-Timo Journal of Computational and Graphical Statistics, Vol. 22, Issue 1 https://doi.org/10.1080/10618600.2012.657132	journal	January 2012
Statistical inference using the Morse-Smale complex Chen, Yen-Chi; Genovese, Christopher R.; Wasserman, Larry Electronic Journal of Statistics, Vol. 11, Issue 1 https://doi.org/10.1214/17-EJS1271	journal	January 2017
Computing Morse-Smale Complexes with Accurate Geometry Gyulassy, A.; Bremer, P.; Pascucci, V. IEEE Transactions on Visualization and Computer Graphics, Vol. 18, Issue 12 https://doi.org/10.1109/TVCG.2012.209	journal	December 2012
Analysis of large-scale scalar data using hixels Thompson, David; Levine, Joshua A.; Bennett, Janine C. 2011 IEEE Symposium on Large Data Analysis and Visualization (LDAV) https://doi.org/10.1109/LDAV.2011.6092313	conference	October 2011
A Survey of Topology-based Methods in Visualization Heine, C.; Leitte, H.; Hlawitschka, M. Computer Graphics Forum, Vol. 35, Issue 3 https://doi.org/10.1111/cgf.12933	journal	June 2016
Visualizing Summary Statistics and Uncertainty Potter, K.; Kniss, J.; Riesenfeld, R. Computer Graphics Forum, Vol. 29, Issue 3 https://doi.org/10.1111/j.1467-8659.2009.01677.x	journal	June 2010
A Next Step: Visualizing Errors and Uncertainty Johnson, C. R.; Sanderson, A. R. IEEE Computer Graphics and Applications, Vol. 23, Issue 5 https://doi.org/10.1109/MCG.2003.1231171	journal	September 2003
In Pursuit of Error: A Survey of Uncertainty Visualization Evaluation Hullman, Jessica; Qiao, Xiaoli; Correll, Michael IEEE Transactions on Visualization and Computer Graphics, Vol. 25, Issue 1 https://doi.org/10.1109/TVCG.2018.2864889	journal	January 2019
From Quantification to Visualization: A Taxonomy of Uncertainty Visualization Approaches Potter, Kristin; Rosen, Paul; Johnson, Chris R. IFIP Advances in Information and Communication Technology https://doi.org/10.1007/978-3-642-32677-6_15	book	January 2012
Hierarchical Morse--Smale Complexes for Piecewise Linear 2-Manifolds Edelsbrunner, Herbert; Harer, John; Zomorodian, Afra Discrete and Computational Geometry, Vol. 30, Issue 1 https://doi.org/10.1007/s00454-003-2926-5	journal	May 2003
Probabilistic Asymptotic Decider for Topological Ambiguity Resolution in Level-Set Extraction for Uncertain 2D Data Athawale, Tushar; Johnson, Chris R. IEEE Transactions on Visualization and Computer Graphics, Vol. 25, Issue 1 https://doi.org/10.1109/TVCG.2018.2864505	journal	January 2019
Visualization and Visual Analysis of Ensemble Data: A Survey Wang, Junpeng; Hazarika, Subhashis; Li, Cheng IEEE Transactions on Visualization and Computer Graphics, Vol. 25, Issue 9 https://doi.org/10.1109/TVCG.2018.2853721	journal	September 2019
Relations Between the Critical Points of a Real Function of n Independent Variables Morse, Marston Transactions of the American Mathematical Society, Vol. 27, Issue 3 https://doi.org/10.2307/1989110	journal	July 1925
Nonparametric Models for Uncertainty Visualization Pöthkow, Kai; Hege, Hans-Christian Computer Graphics Forum, Vol. 32, Issue 3pt2 https://doi.org/10.1111/cgf.12100	journal	June 2013
Probabilistic Marching Cubes Pöthkow, Kai; Weber, Britta; Hege, Hans-Christian Computer Graphics Forum, Vol. 30, Issue 3 https://doi.org/10.1111/j.1467-8659.2011.01942.x	journal	June 2011
Isosurface Visualization of Data with Nonparametric Models for Uncertainty Athawale, Tushar; Sakhaee, Elham; Entezari, Alireza IEEE Transactions on Visualization and Computer Graphics, Vol. 22, Issue 1 https://doi.org/10.1109/TVCG.2015.2467958	journal	January 2016
Uncertainty Quantification in Linear Interpolation for Isosurface Extraction Athawale, Tushar; Entezari, Alireza IEEE Transactions on Visualization and Computer Graphics, Vol. 19, Issue 12 https://doi.org/10.1109/TVCG.2013.208	journal	December 2013
A Contour tree Based Visualization for Exploring data with Uncertainty Wu, Keqin; Zhang, Song International Journal for Uncertainty Quantification, Vol. 3, Issue 3 https://doi.org/10.1615/Int.J.UncertaintyQuantification.2012003956	journal	January 2013
Contour Boxplots: A Method for Characterizing Uncertainty in Feature Sets from Simulation Ensembles Whitaker, Ross T.; Mirzargar, Mahsa; Kirby, Robert M. IEEE Transactions on Visualization and Computer Graphics, Vol. 19, Issue 12 https://doi.org/10.1109/TVCG.2013.143	journal	December 2013
Contour trees of uncertain terrains Zhang, Wuzhou; Agarwal, Pankaj K.; Mukherjee, Sayan Proceedings of the 23rd SIGSPATIAL International Conference on Advances in Geographic Information Systems - GIS '15 https://doi.org/10.1145/2820783.2820823	conference	January 2015

Similar Records

Fiber Uncertainty Visualization for Bivariate Data With Parametric and Nonparametric Noise Models

Journal Article · 2022 · IEEE Transactions on Visualization and Computer Graphics · OSTI ID:1991680

Athawale, Tushar M.; Johnson, Chris R.; Sane, Sudhanshu; +1 more

Visualizing the Uncertainty of Graph-based 2D Segmentation with Min-path Stability

Journal Article · 2017 · Computer Graphics Forum · OSTI ID:1418630

Summa, B.; Tierny, J.; Pascucci, V.

Related Subjects

Computer Science

Uncertainty Visualization of 2D Morse Complex Ensembles Using Statistical Summary Maps

Citation Formats

References (52)

Similar Records

Related Subjects